Top Cited Articles during 2009 by math-ph

Top Cited Articles during 2009 by math-ph

The 100 most highly cited papers during 2009 cited by papers in the math-ph archive

Keep in mind that citation counts can never be exact, there is something like a 5% error in most of these numbers. Please do not fret about number 32 versus 33, as this is often not a statistically significant difference. Remember the detailed warning about the accuracy of these counts.

Also note that the counts shown, and used in the rankings, are the counts as of Thu 28-Jan-2010. Further, the counts shown by the ranking are only the cites satisfying the criteria for that list. Actual citation numbers in the database may change as corrections are made and papers are added, the links will take you to the updated numbers. The lists, however, will not update.

  1. 8
    String theory and noncommutative geometry
    By Nathan Seiberg, Edward Witten (Princeton, Inst. Advanced Study).
    Published in:JHEP 9909:032,1999 (arXiv: hep-th/9908142)
    [2600 Total citations in HEP]
  2. 6
    Partition function of the eight vertex lattice model
    By Rodney J. Baxter (Australian Natl. U., Canberra).
    Published in:Annals Phys.70:193-228,1972, Annals Phys.281:187-222,2000
    [370 Total citations in HEP]
  3. 6
    Supersymmetry and quantum mechanics
    By Fred Cooper (Los Alamos), Avinash Khare (Bhubaneswar, Inst. Phys.), Uday Sukhatme (Illinois U., Chicago).
    Published in:Phys.Rept.251:267-385,1995 (arXiv: hep-th/9405029)
    [467 Total citations in HEP]
  4. 6
    The Quantum structure of space-time at the Planck scale and quantum fields
    By Sergio Doplicher (Rome U.), Klaus Fredenhagen (Hamburg U., Inst. Theor. Phys. II), John E. Roberts (Rome U.,Tor Vergata).
    Published in:Commun.Math.Phys.172:187-220,1995 (arXiv: hep-th/0303037)
    [466 Total citations in HEP]
  5. 6
    Renormalization in quantum field theory and the Riemann-Hilbert problem. 1. The Hopf algebra structure of graphs and the main theorem
    By Alain Connes, Dirk Kreimer (IHES, Bures-sur-Yvette).
    Published in:Commun.Math.Phys.210:249-273,2000 (arXiv: hep-th/9912092)
    [152 Total citations in HEP]
  6. 6
    Quantum mechanics as a statistical theory
    By J.E. Moyal.
    Published in:Proc.Cambridge Phil.Soc.45:99-124,1949
    [654 Total citations in HEP]
  7. 6
    Boundary Conditions for Integrable Quantum Systems
    By E.K. Sklyanin (Steklov Math. Inst., St. Petersburg).
    Published in:J.Phys.A21:2375,1988
    [373 Total citations in HEP]
  8. 6
    Invariants of algebraic curves and topological expansion
    By Bertrand Eynard, Nicolas Orantin (Saclay, SPht).
    HEP Record (arXiv: math-ph/0702045)
    [54 Total citations in HEP]
  9. 6
    On the quantum correction for thermodynamic equilibrium
    By Eugene P. Wigner.
    Published in:Phys.Rev.40:749-760,1932
    [696 Total citations in HEP]
  10. 5
    The Generally covariant locality principle: A New paradigm for local quantum field theory
    By Romeo Brunetti (Naples U. & INFN, Naples), Klaus Fredenhagen (Hamburg U., Inst. Theor. Phys. II), Rainer Verch (Gottingen U.).
    Published in:Commun.Math.Phys.237:31-68,2003 (arXiv: math-ph/0112041)
    [86 Total citations in HEP]
  11. 5
    The 'Peierls substitution' and the exotic Galilei group
    By C. Duval (Marseille, CPT), P.A. Horvathy (Tours U.).
    Published in:Phys.Lett.B479:284-290,2000 (arXiv: hep-th/0002233)
    [169 Total citations in HEP]
  12. 5
    Derivation of Exact Spectra of the Schrodinger Equation by Means of Supersymmetry
    By L.E. Gendenshtein (Kharkov, KIPT).
    Published in:JETP Lett.38:356-359,1983, Pisma Zh.Eksp.Teor.Fiz.38:299-302,1983
    [216 Total citations in HEP]
  13. 5
    A q difference analog of U(g) and the Yang-Baxter equation
    By Michio Jimbo (Kyoto U., RIMS).
    Published in:Lett.Math.Phys.10:63-69,1985
    [951 Total citations in HEP]
  14. 4
    Scale and conformal transformations in galilean-covariant field theory
    By C.R. Hagen (Rochester U.).
    Published in:Phys.Rev.D5:377-388,1972
    [148 Total citations in HEP]
  15. 4
    The factorization method
    By L. Infeld, T.E. Hull.
    Published in:Rev.Mod.Phys.23:21-68,1951
    [271 Total citations in HEP]
  16. 4
    The maximal kinematical invariance group of the free Schrodinger equation.
    By U. Niederer.
    Published in:Helv.Phys.Acta 45:802-810,1972
    [157 Total citations in HEP]
  17. 4
    Some exact results for the many body problems in one dimension with repulsive delta function interaction
    By Chen-Ning Yang (SUNY, Stony Brook).
    Published in:Phys.Rev.Lett.19:1312-1314,1967
    [437 Total citations in HEP]
  18. 4
    Exotic Galilean symmetry in the noncommutative plane, and the Hall effect
    By C. Duval (Marseille, CPT), P.A. Horvathy (Tours U.).
    Published in:J.Phys.A34:10097-10108,2001 (arXiv: hep-th/0106089)
    [128 Total citations in HEP]
  19. 4
    Microlocal analysis and interacting quantum field theories: Renormalization on physical backgrounds
    By Romeo Brunetti, Klaus Fredenhagen (Hamburg U.).
    Published in:Commun.Math.Phys.208:623-661,2000 (arXiv: math-ph/9903028)
    [105 Total citations in HEP]
  20. 4
    Topological expansion for the 1-Hermitian matrix model correlation functions
    By B. Eynard (Saclay).
    Published in:JHEP 0411:031,2004 (arXiv: hep-th/0407261)
    [63 Total citations in HEP]
  21. 4
    Quantum field theory on noncommutative spaces
    By Richard J. Szabo (Heriot-Watt U.).
    Published in:Phys.Rept.378:207-299,2003 (arXiv: hep-th/0109162)
    [705 Total citations in HEP]
  22. 4
    Factorizing Particles on a Half Line and Root Systems
    By I.V. Cherednik (Moscow State U.).
    Published in:Theor.Math.Phys.61:977-983,1984, Teor.Mat.Fiz.61:35-44,1984
    [212 Total citations in HEP]
  23. 4
    Quantized space-time
    By Hartland S. Snyder (Northwestern U.).
    Published in:Phys.Rev.71:38-41,1947
    [759 Total citations in HEP]
  24. 4
    Existence of local covariant time ordered products of quantum fields in curved space-time
    By Stefan Hollands, Robert M. Wald.
    Published in:Commun.Math.Phys.231:309-345,2002 (arXiv: gr-qc/0111108)
    [62 Total citations in HEP]
  25. 4
    Yang-Baxter Equation and Representation Theory. 1.
    By P.P. Kulish, N.Yu. Reshetikhin, E.K. Sklyanin (Steklov Math. Inst., St. Petersburg).
    Published in:Lett.Math.Phys.5:393-403,1981
    [313 Total citations in HEP]
  26. 4
    Hidden nonlinear supersymmetries in pure parabosonic systems
    By Mikhail Plyushchay (Chile U., Santiago & Serpukhov, IHEP).
    Published in:Int.J.Mod.Phys.A15:3679-3698,2000 (arXiv: hep-th/9903130)
    [88 Total citations in HEP]
  27. 4
    BARGMANN STRUCTURES AND NEWTON-CARTAN THEORY
    By C. Duval (Marseille U., Luminy & Marseille, CPT), G. Burdet (Marseille, CPT), H.P. Kunzle (Alberta U.), M. Perrin (Marseille, CPT).
    Published in:Phys.Rev.D31:1841,1985
    [87 Total citations in HEP]
  28. 4
    Renormalization in quantum field theory and the Riemann-Hilbert problem. 2. The beta function, diffeomorphisms and the renormalization group
    By Alain Connes, Dirk Kreimer (IHES, Bures-sur-Yvette).
    Published in:Commun.Math.Phys.216:215-241,2001 (arXiv: hep-th/0003188)
    [110 Total citations in HEP]
  29. 4
    Quantum Field Theory and the Jones Polynomial
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Commun.Math.Phys.121:351,1989
    [1573 Total citations in HEP]
  30. 4
    Noncommutative field theory
    By Michael R. Douglas (Rutgers U., Piscataway & IHES, Bures-sur-Yvette), Nikita A. Nekrasov (IHES, Bures-sur-Yvette & Moscow, ITEP).
    Published in:Rev.Mod.Phys.73:977-1029,2001 (arXiv: hep-th/0106048)
    [1005 Total citations in HEP]
  31. 4
    Higher derivative supersymmetry and the Witten index
    By Alexander A. Andrianov, Mikhail V. Ioffe (St. Petersburg State U.), V.P. Spiridonov (Montreal U.).
    Published in:Phys.Lett.A174:273-279,1993 (arXiv: hep-th/9303005)
    [150 Total citations in HEP]
  32. 4
    Celestial mechanics, conformal structures and gravitational waves
    By C. Duval (Marseille, CPT & Provence U.), Gary W. Gibbons (Cambridge U.), P. Horvathy (Tours U.).
    Published in:Phys.Rev.D43:3907-3922,1991 (arXiv: hep-th/0512188)
    [115 Total citations in HEP]
  33. 4
    Algebras of distributions suitable for phase space quantum mechanics. 1.
    By Jose M. Gracia-Bondia, Joseph C. Varilly (Costa Rica U.).
    Published in:J.Math.Phys.29:869-879,1988
    [73 Total citations in HEP]
  34. 4
    Hydrogen atom spectrum and the Lamb shift in noncommutative QED
    By M. Chaichian (Helsinki U. & Helsinki Inst. of Phys.), M.M. Sheikh-Jabbari (ICTP, Trieste), A. Tureanu (Helsinki U. & Helsinki Inst. of Phys.).
    Published in:Phys.Rev.Lett.86:2716,2001 (arXiv: hep-th/0010175)
    [259 Total citations in HEP]
  35. 4
    Space-time quantization induced by classical gravity
    By S. Doplicher (Rome U., La Sapienza, Dip. di Matematica), K. Fredenhagen (Hamburg U.), J.E. Roberts (Rome U.,Tor Vergata).
    Published in:Phys.Lett.B331:39-44,1994
    [282 Total citations in HEP]
  36. 4
    Local Wick polynomials and time ordered products of quantum fields in curved space-time
    By Stefan Hollands, Robert M. Wald (Chicago U., EFI & Chicago U.).
    Published in:Commun.Math.Phys.223:289-326,2001 (arXiv: gr-qc/0103074)
    [72 Total citations in HEP]
  37. 4
    Renormalization of phi**4 theory on noncommutative R**4 in the matrix base
    By Harald Grosse (Vienna U.), Raimar Wulkenhaar (Leipzig, Max Planck Inst.).
    Published in:Commun.Math.Phys.256:305-374,2005 (arXiv: hep-th/0401128)
    [131 Total citations in HEP]
  38. 4
    Noncommutative quantum mechanics
    By J. Gamboa (Santiago de Chile U.), M. Loewe (Chile U., Catolica), J.C. Rojas (Andes U., Bogota).
    Published in:Phys.Rev.D64:067901,2001 (arXiv: hep-th/0010220)
    [145 Total citations in HEP]
  39. 4
    Galilean invariant (2+1)-dimensional models with a Chern-Simons-like term and D = 2 noncommutative geometry
    By Jerzy Lukierski (Durham U.), Peter C. Stichel (Bielefeld U.), Wojtek J. Zakrzewski (Durham U.).
    Published in:Annals Phys.260:224-249,1997 (arXiv: hep-th/9612017)
    [114 Total citations in HEP]
  40. 4
    Q deformation of Poincare algebra
    By Jerzy Lukierski, Henri Ruegg (Geneva U.), Anatol Nowicki (Zielona Gora, Pedagogical U.), Valerii N. Tolstoi (Moscow State U.).
    Published in:Phys.Lett.B264:331-338,1991
    [306 Total citations in HEP]
  41. 3
    Dynamical Breaking of Supersymmetry
    By Edward Witten (Princeton U.).
    Published in:Nucl.Phys.B188:513,1981
    [1895 Total citations in HEP]
  42. 3
    Symmetry, gravity and noncommutativity
    By Richard J. Szabo (Heriot-Watt U.).
    Published in:Class.Quant.Grav.23:R199-R242,2006 (arXiv: hep-th/0606233)
    [71 Total citations in HEP]
  43. 3
    Spinor structure of space-times in general relativity. i
    By Robert P. Geroch (Birkbeck Coll.).
    Published in:J.Math.Phys.9:1739-1744,1968
    [133 Total citations in HEP]
  44. 3
    Nested sums, expansion of transcendental functions and multiscale multiloop integrals
    By Sven Moch, Peter Uwer (Karlsruhe U., TTP), Stefan Weinzierl (Parma U. & INFN, Parma).
    Published in:J.Math.Phys.43:3363-3386,2002 (arXiv: hep-ph/0110083)
    [128 Total citations in HEP]
  45. 3
    DYNAMICAL SYMMETRIES IN A SPHERICAL GEOMETRY. 1
    By Peter W. Higgs (Edinburgh U.).
    Published in:J.Phys.A12:309-323,1979
    [117 Total citations in HEP]
  46. 3
    Quantum mechanics on the noncommutative plane and sphere
    By V.P. Nair (City Coll., N.Y. & CUNY, Graduate School - U. Ctr.), A.P. Polychronakos (City Coll., N.Y. & CUNY, Graduate School - U. Ctr. & Rockefeller U.).
    Published in:Phys.Lett.B505:267-274,2001 (arXiv: hep-th/0011172)
    [235 Total citations in HEP]
  47. 3
    Random matrix theories in quantum physics: Common concepts
    By Thomas Guhr, Axel Muller-Groeling, Hans A. Weidenmuller (Heidelberg, Max Planck Inst.).
    Published in:Phys.Rept.299:189-425,1998 (arXiv: cond-mat/9707301)
    [241 Total citations in HEP]
  48. 3
    Noncommutative geometry and matrix theory: Compactification on tori
    By Alain Connes (IHES, Bures-sur-Yvette), Michael R. Douglas (IHES, Bures-sur-Yvette & Rutgers U., Piscataway), Albert S. Schwarz (IHES, Bures-sur-Yvette & Rutgers U., Piscataway & UC, Davis).
    Published in:JHEP 9802:003,1998 (arXiv: hep-th/9711162)
    [1260 Total citations in HEP]
  49. 3
    New families of commuting transfer matrices in q state vertex models
    By Jacques H.H. Perk, Cherie L. Schultz (SUNY, Stony Brook).
    Published in:Phys.Lett.A84:407-410,1981
    [86 Total citations in HEP]
  50. 3
    On the Principles of elementary quantum mechanics
    By H.J. Groenewold (Groningen U.).
    Published in:Physica 12:405-460,1946
    [236 Total citations in HEP]
  51. 3
    The Microlocal spectrum condition and Wick polynomials of free fields on curved space-times
    By R. Brunetti (Naples U.), K. Fredenhagen, M. Kohler (Hamburg U.).
    Published in:Commun.Math.Phys.180:633-652,1996 (arXiv: gr-qc/9510056)
    [80 Total citations in HEP]
  52. 3
    New quantum Poincare algebra and k deformed field theory
    By Jerzy Lukierski (Geneva U.), Anatol Nowicki (Bordeaux U.), Henri Ruegg (Geneva U.).
    Published in:Phys.Lett.B293:344-352,1992
    [224 Total citations in HEP]
  53. 3
    Micro-local approach to the Hadamard condition in quantum field theory on curved space-time
    By M.J. Radzikowski (Texas A-M & York U., England).
    Published in:Commun.Math.Phys.179:529-553,1996
    [80 Total citations in HEP]
  54. 3
    Quantal phase factors accompanying adiabatic changes
    By Michael V. Berry (Bristol U.).
    Published in:Proc.Roy.Soc.Lond.A392:45-57,1984
    [677 Total citations in HEP]
  55. 3
    Schrodinger invariance in strongly anisotropic critical systems
    By Malte Henkel (Oxford U. & Geneva U.).
    Published in:J.Statist.Phys.75:1023-1061,1994 (arXiv: hep-th/9310081)
    [67 Total citations in HEP]
  56. 3
    Nonlagrangian models of current algebra
    By Kenneth G. Wilson (Cornell U., LNS).
    Published in:Phys.Rev.179:1499-1512,1969
    [1484 Total citations in HEP]
  57. 3
    Boundary S matrix and boundary state in two-dimensional integrable quantum field theory
    By Subir Ghoshal, Alexander B. Zamolodchikov (Rutgers U., Piscataway).
    Published in:Int.J.Mod.Phys.A9:3841-3886,1994, Erratum-ibid.A9:4353,1994 (arXiv: hep-th/9306002)
    [376 Total citations in HEP]
  58. 3
    Superintegrability in classical mechanics
    By N.W. Evans (Queen Mary, U. of London & Cambridge U.).
    Published in:Phys.Rev.A41:5666-5676,1990
    [55 Total citations in HEP]
  59. 3
    Introducing scale symmetry
    By R. Jackiw (MIT, LNS).
    Published in:Phys.Today 25:23-27,1972
    [79 Total citations in HEP]
  60. 3
    Harmonic sums, Mellin transforms and integrals
    By J.A.M. Vermaseren (Madrid, Autonoma U. & NIKHEF, Amsterdam).
    Published in:Int.J.Mod.Phys.A14:2037-2076,1999 (arXiv: hep-ph/9806280)
    [156 Total citations in HEP]
  61. 3
    Coherent and incoherent states of the radiation field
    By Roy J. Glauber (Harvard U.).
    Published in:Phys.Rev.131:2766-2788,1963
    [509 Total citations in HEP]
  62. 3
    The Quantum Group SU(2)-q and a q Analog of the Boson Operators
    By L.C. Biedenharn (Duke U.).
    Published in:J.Phys.A22:L873,1989
    [554 Total citations in HEP]
  63. 3
    Theorems on the Uniqueness and Thermal Properties of Stationary, Nonsingular, Quasifree States on Space-Times with a Bifurcate Killing Horizon
    By Bernard S. Kay (Zurich U.), Robert M. Wald (Chicago U., EFI & Chicago U.).
    Published in:Phys.Rept.207:49-136,1991
    [226 Total citations in HEP]
  64. 3
    Harmonic sums and Mellin transforms up to two loop order
    By Johannes Blumlein, Stefan Kurth (DESY, Zeuthen).
    Published in:Phys.Rev.D60:014018,1999 (arXiv: hep-ph/9810241)
    [109 Total citations in HEP]
  65. 3
    Harmonic polylogarithms
    By E. Remiddi (Karlsruhe U., TTP & Bologna U. & INFN, Bologna), J.A.M. Vermaseren (NIKHEF, Amsterdam).
    Published in:Int.J.Mod.Phys.A15:725-754,2000 (arXiv: hep-ph/9905237)
    [250 Total citations in HEP]
  66. 3
    The Octonions
    By John C. Baez (UC, Riverside, Math. Dept.).
    HEP Record (arXiv: math/0105155)
    [60 Total citations in HEP]
  67. 3
    The Three-loop splitting functions in QCD: The Singlet case
    By A. Vogt (NIKHEF, Amsterdam), S. Moch (DESY, Zeuthen), J.A.M. Vermaseren (NIKHEF, Amsterdam).
    Published in:Nucl.Phys.B691:129-181,2004 (arXiv: hep-ph/0404111)
    [324 Total citations in HEP]
  68. 3
    Dynamical Symmetry of the Magnetic Vortex
    By R. Jackiw (Columbia U.).
    Published in:Annals Phys.201:83-116,1990
    [122 Total citations in HEP]
  69. 3
    On q Analogs of the Quantum Harmonic Oscillator and the Quantum Group SU(2)-q
    By A.J. Macfarlane (Cambridge U.).
    Published in:J.Phys.A22:4581,1989
    [571 Total citations in HEP]
  70. 3
    Intersection theory on the moduli space of curves and the matrix Airy function
    By M. Kontsevich (Bonn, Max Planck Inst., Math.).
    Published in:Commun.Math.Phys.147:1-23,1992
    [214 Total citations in HEP]
  71. 3
    The Three loop splitting functions in QCD: The Nonsinglet case
    By S. Moch (DESY, Zeuthen), J.A.M. Vermaseren, A. Vogt (NIKHEF, Amsterdam).
    Published in:Nucl.Phys.B688:101-134,2004 (arXiv: hep-ph/0403192)
    [396 Total citations in HEP]
  72. 3
    Duality in scalar field theory on noncommutative phase spaces
    By Edwin Langmann (Royal Inst. Tech., Stockholm), Richard J. Szabo (Heriot-Watt U.).
    Published in:Phys.Lett.B533:168-177,2002 (arXiv: hep-th/0202039)
    [86 Total citations in HEP]
  73. 3
    CP Violation in the Renormalizable Theory of Weak Interaction
    By Makoto Kobayashi, Toshihide Maskawa (Kyoto U.).
    Published in:Prog.Theor.Phys.49:652-657,1973
    [5928 Total citations in HEP]
  74. 3
    On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT
    By M. Chaichian (Helsinki U. & Helsinki Inst. of Phys.), P.P. Kulish (Steklov Math. Inst., St. Petersburg), K. Nishijima (Helsinki U. & Helsinki Inst. of Phys. & Nishina Memorial Found., Tokyo), A. Tureanu (Helsinki U. & Helsinki Inst. of Phys.).
    Published in:Phys.Lett.B604:98-102,2004 (arXiv: hep-th/0408069)
    [271 Total citations in HEP]
  75. 3
    Nonrelativistic anyons and exotic Galilean symmetry
    By Peter A. Horvathy (Santiago de Chile U.), Mikhail S. Plyushchay (Santiago de Chile U. & Serpukhov, IHEP).
    Published in:JHEP 0206:033,2002 (arXiv: hep-th/0201228)
    [55 Total citations in HEP]
  76. 3
    QUANTUM FIELD THEORY, GRASSMANNIANS, AND ALGEBRAIC CURVES
    By Edward Witten (Princeton U.).
    Published in:Commun.Math.Phys.113:529,1988
    [88 Total citations in HEP]
  77. 3
    Solution of the one-dimensional N body problems with quadratic and/or inversely quadratic pair potentials
    By F. Calogero (Moscow, ITEP).
    Published in:J.Math.Phys.12:419-436,1971
    [377 Total citations in HEP]
  78. 3
    Exact solution of the integrable XXZ Heisenberg model with arbitrary spin. I. The ground state and the excitation spectrum
    By A.N. Kirillov, N.Yu Reshetikhin.
    Published in:J.Phys.A20:1565-1585,1987
    [124 Total citations in HEP]
  79. 3
    DYNAMICAL SYMMETRY OF THE MAGNETIC MONOPOLE
    By R. Jackiw (Santa Barbara, KITP).
    Published in:Annals Phys.129:183,1980
    [104 Total citations in HEP]
  80. 3
    On the localizability of quantum mechanical systems
    By A.S. Wightman (Princeton U.).
    Published in:Rev.Mod.Phys.34:845-872,1962
    [106 Total citations in HEP]
  81. 3
    A Global Theory of Supermanifolds
    By Alice Rogers (Imperial Coll., London).
    Published in:J.Math.Phys.21:1352,1980
    [134 Total citations in HEP]
  82. 3
    Special values of multiple polylogarithms
    By Jonathan M. Borwein (Simon Fraser U.), David M. Bradley (Maine U.), David J. Broadhurst (Open U., England), Petr Lisonek (Simon Fraser U.).
    Published in:Trans.Am.Math.Soc.353:907-941,2001 (arXiv: math/9910045)
    [56 Total citations in HEP]
  83. 3
    Crystal statistics. 1. A Two-dimensional model with an order disorder transition
    By Lars Onsager (Yale U.).
    Published in:Phys.Rev.65:117-149,1944
    [427 Total citations in HEP]
  84. 3
    2-D Gravity and random matrices
    By P. Di Francesco (Saclay), Paul H. Ginsparg (Los Alamos), Jean Zinn-Justin (Saclay).
    Published in:Phys.Rept.254:1-133,1995 (arXiv: hep-th/9306153)
    [325 Total citations in HEP]
  85. 3
    A q Analog of u (Gl (n+1)), Hecke Algebra and the Yang-Baxter Equation
    By Michio Jimbo (Kyoto U., RIMS).
    Published in:Lett.Math.Phys.11:247,1986
    [549 Total citations in HEP]
  86. 3
    A method of determining quantum-mechanical eigenvalues and eigenfunctions
    By Erwin Schrodinger (Dublin Inst.).
    Published in:Proc.Roy.Irish Acad.(Sect.A) 46:9-16,1940
    [127 Total citations in HEP]
  87. 3
    Algebraic relations between harmonic sums and associated quantities
    By Johannes Blumlein (DESY, Zeuthen).
    Published in:Comput.Phys.Commun.159:19-54,2004 (arXiv: hep-ph/0311046)
    [71 Total citations in HEP]
  88. 3
    Convergence of Bogolyubov's method of renormalization in momentum space
    By W. Zimmermann (IHES, Bures-sur-Yvette & Naples U.).
    Published in:Commun.Math.Phys.15:208-234,1969, Lect.Notes Phys.558:217-243,2000
    [256 Total citations in HEP]
  89. 3
    CAUSAL INDEPENDENCE AND THE ENERGY LEVEL DENSITY OF STATES IN LOCAL QUANTUM FIELD THEORY
    By Detlev Buchholz (Hamburg U.), Eyvind H. Wichmann (UC, Berkeley).
    Published in:Commun.Math.Phys.106:321,1986
    [79 Total citations in HEP]
  90. 2
    Unitarity Polygons and CP Violation Areas and Phases in the Standard Electroweak Model
    By Cecilia Jarlskog (Stockholm U.), Raymond Stora (Annecy, LAPP).
    Published in:Phys.Lett.B208:268,1988
    [192 Total citations in HEP]
  91. 2
    Nonlinear supersymmetry, quantum anomaly and quasiexactly solvable systems
    By Sergey M. Klishevich, Mikhail S. Plyushchay (Santiago de Chile U. & Serpukhov, IHEP).
    Published in:Nucl.Phys.B606:583-612,2001 (arXiv: hep-th/0012023)
    [56 Total citations in HEP]
  92. 2
    A Generalized method of field quantization
    By H.S. Green (Adelaide U.).
    Published in:Phys.Rev.90:270-273,1953
    [328 Total citations in HEP]
  93. 2
    The picture of low-lying excitations in the isotropic Heisenberg chain of arbitrary spins
    By Takhtajan L. A. (Steklov Math. Inst., St. Petersburg).
    Published in:Phys.Lett.A87:479-482,1982
    [108 Total citations in HEP]
  94. 2
    Invariants of three manifolds via link polynomials and quantum groups
    By N. Reshetikhin (Harvard U.), V.G. Turaev (Steklov Math. Inst., St. Petersburg).
    Published in:Invent.Math.103:547-597,1991
    [208 Total citations in HEP]
  95. 2
    Solution of a three-body problem in one-dimension
    By F. Calogero (Imperial Coll., London).
    Published in:J.Math.Phys.10:2191-2196,1969
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    Universal results from an alternate random matrix model for QCD with a baryon chemical potential
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    Relativistic dynamics
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    The Noncommutative Landau problem and the Peierls substitution
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    Deformed Heisenberg algebra, fractional spin fields and supersymmetry without fermions
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    Generalized Hamiltonian dynamics
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    Published in:Can.J.Math.2:129-148,1950
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    Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of Maximal CP Violation
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    Published in:Phys.Rev.Lett.55:1039,1985
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    Topological (Chern-Simons) Quantum Mechanics
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    The Quantum theory of optical coherence
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    Anomalies in string theory with D-branes
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    New basis for cosmology
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    Deformation quantization: Quantum mechanics lives and works in phase space
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    Gauge Algebra and Quantization
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    Published in:Phys.Lett.B102:27-31,1981
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    TFT construction of RCFT correlators 1. Partition functions
    By Jurgen Fuchs (Karlstad U.), Ingo Runkel, Christoph Schweigert (Paris U., VI-VII).
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    Complex extension of quantum mechanics
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    How algebraic Bethe ansatz works for integrable model
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    HEP Record (arXiv: hep-th/9605187)
    [178 Total citations in HEP]
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    The Third-order QCD corrections to deep-inelastic scattering by photon exchange
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    Scaling limits of loop-erased random walks and uniform spanning trees
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    Quantum Theory and Five-Dimensional Theory of Relativity. (In German and English)
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    Proof of the Bogolyubov-Parasiuk theorem on renormalization
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    The beta function in duality covariant noncommutative phi**4 theory
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    On gauge invariance and vacuum polarization
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    Boundary Conditions, Fusion Rules and the Verlinde Formula
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    Published in:Nucl.Phys.B324:581,1989
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    Renormalization of noncommutative phi**4-theory by multi-scale analysis
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    Deformation Theory and Quantization. 1. Deformations of Symplectic Structures
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    [432 Total citations in HEP]
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    The general U(q)(sl(2)) invariant X X Z integrable quantum spin chain
    By P.P. Kulish, E.K. Sklyanin (Steklov Math. Inst., St. Petersburg).
    Published in:J.Phys.A24:L435-L439,1991
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    The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry
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    Published in:J.Stat.Mech.0701:P017,2007 (arXiv: nlin/0610017)
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    Massive three - loop Feynman diagrams reducible to SC* primitives of algebras of the sixth root of unity
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    Published in:Eur.Phys.J.C8:311-333,1999 (arXiv: hep-th/9803091)
    [112 Total citations in HEP]
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    Classical and quantal nonrelativistic Chern-Simons theory
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    The Hidden Symmetries of Multicenter Metrics
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    Published in:Commun.Math.Phys.115:267,1988
    [133 Total citations in HEP]
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    Random matrix theory and chiral symmetry in QCD
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    Deformation quantization of Poisson manifolds. 1.
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    Grassmann Integration in Stochastic Quantum Physics: The Case of Compound Nucleus Scattering
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    Published in:Phys.Rept.129:367-438,1985
    [147 Total citations in HEP]
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    N fold supersymmetry in quantum mechanics: General formalism
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    Vertex algebras, Kac-Moody algebras, and the monster
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    [146 Total citations in HEP]
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    Background independent quantum gravity: A Status report
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    Radiation damping in a gravitational field
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    Spin and Unitary Spin Independence in a Paraquark Model of Baryons and Mesons
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    Published in:Phys.Rev.Lett.13:598-602,1964
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    Gauge symmetry and supersymmetry of multiple M2-branes
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    A NEW CLASS OF INTEGRABLE SYSTEMS AND ITS RELATION TO SOLITONS
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    [91 Total citations in HEP]
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    Nonrelativistic conformal field theories
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    Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
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    Quantum Nature of the Big Bang: An Analytical and Numerical Investigation. I.
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    Toward an AdS/cold atoms correspondence: A Geometric realization of the Schrodinger symmetry
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    The Planar Approximation. 2.
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    Testable scenario for relativity with minimum length
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    DYNAMICAL SYMMETRIES IN A SPHERICAL GEOMETRY. 2
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    Modeling Multiple M2's
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    Operator Content of Two-Dimensional Conformally Invariant Theories
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    Unitary Symmetry and Leptonic Decays
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    Dimension and Character Formulas for Lie Supergroups
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    [150 Total citations in HEP]
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    Renormalization of non-commutative phi(4)**4 field theory in x space
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    Conformal Invariance in Quantum Mechanics
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    Coherent states: Theory and some Applications
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    Semiclassical approximation in Batalin-Vilkovisky formalism
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    Quantum Geometry of Bosonic Strings
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    EXACT SOLUTION OF THE ISOTROPIC HEISENBERG CHAIN WITH ARBITRARY SPINS: THERMODYNAMICS OF THE MODEL
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    Calculus for functions of noncommuting operators and general phase-space methods in quantum mechanics. i. mapping theorems and ordering of functions of noncommuting operators
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    Noncommutative Differential Geometry of Matrix Algebras
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    Aspects of Electric magnetic duality in SU(2) Yang-Mills theory
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    MODEL FACTORIZED S MATRIX AND AN INTEGRABLE HEISENBERG CHAIN WITH SPIN 1. (IN RUSSIAN)
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    Relations between the 'percolation' and 'colouring' problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the 'percolation' problem
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    Classical and Quantum Conformal Field Theory
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    Published in:Commun.Math.Phys.123:177,1989
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    Nonlinear supersymmetry in quantum mechanics: Algebraic properties and differential representation
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    Perturbative renormalization and effective Lagrangians in phi**4 in four-dimensions
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    Published in:Helv.Phys.Acta 65:32-52,1992
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    The Topological vertex
    By Mina Aganagic (Harvard U.), Albrecht Klemm (Humboldt U., Berlin), Marcos Marino (CERN), Cumrun Vafa (Harvard U. & Caltech).
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    FACTORIZED S MATRIX AND THE BETHE ANSATZ FOR SIMPLE LIE GROUPS
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    Published in:Phys.Lett.B168:360,1986
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    Local BRST cohomology in gauge theories
    By Glenn Barnich (Brussels U., PTM & Valencia U.), Friedemann Brandt (Hannover U.), Marc Henneaux (Brussels U., PTM & CECS, Valdivia).
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    [206 Total citations in HEP]
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    Phases in noncommutative quantum mechanics on (pseudo)sphere
    By Stefano Bellucci (Frascati), Armen Nersessian (Frascati & Yerevan State U. & Dubna, JINR).
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    Toda lattice hierarchy
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    Integrable hierarchies and dispersionless limit
    By Kanehisa Takasaki (Kyoto U., FIHS), Takashi Takebe (Tokyo U., Math. Sci.).
    Published in:Rev.Math.Phys.7:743-808,1995 (arXiv: hep-th/9405096)
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    Introduction to SH Lie algebras for physicists
    By Tom Lada, Jim Stasheff (North Carolina U.).
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    An Algebraic approach to quantum field theory
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    Published in:J.Math.Phys.5:848-861,1964
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    On the solution of the Yang-Baxter equation
    By P.P. Kulish, E.K. Sklyanin (Steklov Math. Inst., St. Petersburg).
    Published in:J.Sov.Math.19:1596-1620,1982, Zap.Nauchn.Semin.95:129-160,1980
    [133 Total citations in HEP]
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    Irreducible unitary representations of the Lorentz group
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    Published in:Annals Math.48:568-640,1947
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    Feynman Diagrams for the Yang-Mills Field
    By L.D. Faddeev, V.N. Popov (Steklov Math. Inst., St. Petersburg).
    Published in:Phys.Lett.B25:29-30,1967
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    Real spectra in nonHermitian Hamiltonians having PT symmetry
    By Carl M. Bender (Washington U., St. Louis), Stefan Boettcher (LANL, Ctr. for Nonlinear Studies & Clark Atlanta U.).
    Published in:Phys.Rev.Lett.80:5243-5246,1998 (arXiv: physics/9712001)
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    The Geometry of the master equation and topological quantum field theory
    By M. Alexandrov (UC, Davis), M. Kontsevich (UC, Berkeley, Math. Dept.), A. Schwartz, O. Zaboronsky (UC, Davis).
    Published in:Int.J.Mod.Phys.A12:1405-1430,1997 (arXiv: hep-th/9502010)
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    Aharonov-Bohm effect in noncommutative spaces
    By M. Chaichian (Helsinki U. & Helsinki Inst. of Phys.), A. Demichev (Helsinki U. & Helsinki Inst. of Phys. & Moscow State U.), P. Presnajder (Helsinki U. & Helsinki Inst. of Phys. & Comenius U.), M.M. Sheikh-Jabbari (ICTP, Trieste), A. Tureanu (Helsinki U. & Helsinki Inst. of Phys.).
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    The Quantum method of the inverse problem and the Heisenberg XYZ model
    By L.A. Takhtajan, L.D. Faddeev (Steklov Math. Inst., St. Petersburg).
    Published in:Russ.Math.Surveys 34:11-68,1979, Usp.Mat.Nauk 34:13-63,1979
    [294 Total citations in HEP]
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    Electric-Magnetic Duality And The Geometric Langlands Program
    By Anton Kapustin (Caltech), Edward Witten (Princeton, Inst. Advanced Study).
    HEP Record (arXiv: hep-th/0604151)
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    Seiberg-Witten prepotential from instanton counting
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    Published in:Adv.Theor.Math.Phys.7:831-864,2004 (arXiv: hep-th/0206161)
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    Second Order Contributions to the Structure Functions in Deep Inelastic Scattering. 1. Theoretical Calculations
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    On Foundation of the generalized Nambu mechanics (second version)
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    Possible kinematics
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    Gravity coupled with matter and foundation of noncommutative geometry
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    On the Theory of the hydrogen atoms
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    Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory
    By A.A. Belavin, Alexander M. Polyakov (Landau Inst.), A.B. Zamolodchikov (CERN & Landau Inst.).
    Published in:Nucl.Phys.B241:333-380,1984
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    Noncommutative perturbative dynamics
    By Shiraz Minwalla, Mark Van Raamsdonk (Princeton U.), Nathan Seiberg (Princeton, Inst. Advanced Study).
    Published in:JHEP 0002:020,2000 (arXiv: hep-th/9912072)
    [772 Total citations in HEP]
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    Classical quantum mechanics of free kappa relativistic systems
    By Jerzy Lukierski (Durham U.), Henri Ruegg (Geneva U.), Wojciech J. Zakrzewski (Durham U.).
    Published in:Annals Phys.243:90-116,1995 (arXiv: hep-th/9312153)
    [220 Total citations in HEP]
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    CONSERVED CHARGES FROM SELFDUALITY
    By L. Dolan, Michael Grady (Rockefeller U.).
    Published in:Phys.Rev.D25:1587,1982
    [54 Total citations in HEP]
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    Significance of electromagnetic potentials in the quantum theory
    By Y. Aharonov, D. Bohm (Bristol U.).
    Published in:Phys.Rev.115:485-491,1959
    [841 Total citations in HEP]
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    A Simple Proof of the Positive Energy Theorem
    By Edward Witten (Princeton U.).
    Published in:Commun.Math.Phys.80:381,1981
    [436 Total citations in HEP]
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    New Approach to Evaluation of Multiloop Feynman Integrals: The Gegenbauer Polynomial x Space Technique
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    Published in:Nucl.Phys.B174:345-377,1980
    [274 Total citations in HEP]
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    Noncommutative standard model: Model building
    By M. Chaichian (Helsinki U. & Helsinki Inst. of Phys.), P. Presnajder (Helsinki U. & Helsinki Inst. of Phys. & Comenius U.), M.M. Sheikh-Jabbari (Helsinki U. & Helsinki Inst. of Phys. & ICTP, Trieste & IPM, Tehran), A. Tureanu (Helsinki U. & Helsinki Inst. of Phys.).
    Published in:Eur.Phys.J.C29:413-432,2003 (arXiv: hep-th/0107055)
    [102 Total citations in HEP]