Top Cited Articles during 2005 by math-ph

Top Cited Articles during 2005 by math-ph

The 50 most highly cited papers during 2005 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 Wed 21-Feb-2007. 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. 4
    Quantum mechanics as a statistical theory
    By J.E. Moyal.
    Published in:Proc.Cambridge Phil.Soc.45:99-124,1949
    [505 Total citations in HEP]
  2. 4
    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
    [2260 Total citations in HEP]
  3. 3
    On Unitary Representations of the Inhomogeneous Lorentz Group
    By Eugene P. Wigner (Princeton U.).
    Published in:Annals Math.40:149-204,1939, Nucl.Phys.Proc.Suppl.6:9-64,1989
    [638 Total citations in HEP]
  4. 3
    Planar Diagrams
    By E. Brezin, C. Itzykson, G. Parisi, J.B. Zuber (Saclay).
    Published in:Commun.Math.Phys.59:35,1978
    [814 Total citations in HEP]
  5. 2
    Quantized space-time
    By Hartland S. Snyder (Northwestern U.).
    Published in:Phys.Rev.71:38-41,1947
    [542 Total citations in HEP]
  6. 2
    A Planar Diagram Theory for Strong Interactions
    By Gerard 't Hooft (CERN).
    Published in:Nucl.Phys.B72:461,1974
    [2501 Total citations in HEP]
  7. 2
    String theory and noncommutative geometry
    By Nathan Seiberg, Edward Witten (Princeton, Inst. Advanced Study).
    Published in:JHEP 9909:032,1999 [arXiv: hep-th/9908142]
    [2132 Total citations in HEP]
  8. 2
    Consequences of anomalous Ward identities
    By J. Wess (CERN & Karlsruhe U.), B. Zumino (CERN).
    Published in:Phys.Lett.B37:95,1971
    [1702 Total citations in HEP]
  9. 2
    Consequences of Dirac's theory of positrons
    By W. Heisenberg, H. Euler (Leipzig U.).
    Published in:Z.Phys.98:714-732,1936 [arXiv: physics/0605038]
    [523 Total citations in HEP]
  10. 2
    D-branes and K theory
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in:JHEP 9812:019,1998 [arXiv: hep-th/9810188]
    [513 Total citations in HEP]
  11. 2
    The Models of Two-Dimensional Conformal Quantum Field Theory with Z(n) Symmetry
    By V.A. Fateev (ICTP, Trieste), Sergei L. Lukyanov (Landau Inst.).
    Published in:Int.J.Mod.Phys.A3:507,1988
    [540 Total citations in HEP]
  12. 2
    Notes on black hole evaporation
    By W.G. Unruh (McMaster U.).
    Published in:Phys.Rev.D14:870,1976
    [913 Total citations in HEP]
  13. 2
    Nonlagrangian models of current algebra
    By Kenneth G. Wilson (Cornell U., LNS).
    Published in:Phys.Rev.179:1499-1512,1969
    [1245 Total citations in HEP]
  14. 2
    A Relativistic equation for bound state problems
    By E.E. Salpeter, H.A. Bethe (Cornell U., LNS).
    Published in:Phys.Rev.84:1232-1242,1951
    [613 Total citations in HEP]
  15. 2
    Global Aspects of Current Algebra
    By Edward Witten (Princeton U.).
    Published in:Nucl.Phys.B223:422-432,1983
    [1646 Total citations in HEP]
  16. 2
    On the quantum correction for thermodynamic equilibrium
    By Eugene P. Wigner.
    Published in:Phys.Rev.40:749-760,1932
    [514 Total citations in HEP]
  17. 2
    Quantal phase factors accompanying adiabatic changes
    By Michael V. Berry (Bristol U.).
    Published in:Proc.Roy.Soc.Lond.A392:45-57,1984
    [534 Total citations in HEP]
  18. 1
    Magnetic Monopoles in Unified Gauge Theories
    By Gerard 't Hooft (CERN).
    Published in:Nucl.Phys.B79:276-284,1974
    [1828 Total citations in HEP]
  19. 1
    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
    [511 Total citations in HEP]
  20. 1
    Symmetry Behavior at Finite Temperature
    By L. Dolan, R. Jackiw (MIT, LNS).
    Published in:Phys.Rev.D9:3320-3341,1974
    [1683 Total citations in HEP]
  21. 1
    Dimensional regularization and the renormalization group
    By Gerard 't Hooft (CERN).
    Published in:Nucl.Phys.B61:455-468,1973
    [910 Total citations in HEP]
  22. 1
    Construction of Instantons
    By M.F. Atiyah, Nigel J. Hitchin (Oxford U.), V.G. Drinfeld, Yu.I. Manin (Steklov Math. Inst., Moscow).
    Published in:Phys.Lett.A65:185-187,1978
    [536 Total citations in HEP]
  23. 1
    Boundary Conditions, Fusion Rules and the Verlinde Formula
    By John L. Cardy (UC, Santa Barbara).
    Published in:Nucl.Phys.B324:581,1989
    [504 Total citations in HEP]
  24. 1
    The Large N limit of superconformal field theories and supergravity
    By Juan M. Maldacena (Harvard U.).
    Published in:Adv.Theor.Math.Phys.2:231-252,1998, Int.J.Theor.Phys.38:1113-1133,1999 [arXiv: hep-th/9711200]
    [4495 Total citations in HEP]
  25. 1
    Current Algebra and Wess-Zumino Model in Two-Dimensions
    By V.G. Knizhnik, A.B. Zamolodchikov (Moscow, ITEP).
    Published in:Nucl.Phys.B247:83-103,1984
    [1129 Total citations in HEP]
  26. 1
    Fractal Structure of 2D Quantum Gravity
    By V.G. Knizhnik, Alexander M. Polyakov, A.B. Zamolodchikov (Landau Inst.).
    Published in:Mod.Phys.Lett.A3:819,1988
    [988 Total citations in HEP]
  27. 1
    4-D gravity on a brane in 5-D Minkowski space
    By G.R. Dvali, Gregory Gabadadze, Massimo Porrati (New York U.).
    Published in:Phys.Lett.B485:208-214,2000 [arXiv: hep-th/0005016]
    [581 Total citations in HEP]
  28. 1
    Particle Creation by Black Holes
    By S.W. Hawking (Cambridge U.).
    Published in:Commun.Math.Phys.43:199-220,1975, Erratum-ibid.46:206-206,1976
    [2585 Total citations in HEP]
  29. 1
    Quantum Field Theory and the Jones Polynomial
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Commun.Math.Phys.121:351,1989
    [1416 Total citations in HEP]
  30. 1
    Theory of Fermi interaction
    By R.P. Feynman, Murray Gell-Mann.
    Published in:Phys.Rev.109:193-198,1958
    [595 Total citations in HEP]
  31. 1
    (2+1)-Dimensional Gravity as an Exactly Soluble System
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Nucl.Phys.B311:46,1988
    [996 Total citations in HEP]
  32. 1
    Quantization of Lie Groups and Lie Algebras
    By L.D. Faddeev, N.Yu. Reshetikhin, L.A. Takhtajan (Steklov Math. Inst., St. Petersburg).
    Published in:Leningrad Math.J.1:193-225,1990, Alg.Anal.1:178-206,1989
    [670 Total citations in HEP]
  33. 1
    Renormalization and Effective Lagrangians
    By Joseph Polchinski (Harvard U.).
    Published in:Nucl.Phys.B231:269-295,1984
    [611 Total citations in HEP]
  34. 1
    On the Quantum Structure of a Black Hole
    By Gerard 't Hooft (Utrecht U.).
    Published in:Nucl.Phys.B256:727,1985
    [507 Total citations in HEP]
  35. 1
    Confinement of Quarks
    By Kenneth G. Wilson (Cornell U., LNS).
    Published in:Phys.Rev.D10:2445-2459,1974
    [2910 Total citations in HEP]
  36. 1
    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
    [527 Total citations in HEP]
  37. 1
    There are no Goldstone bosons in two-dimensions
    By Sidney R. Coleman (Princeton U.).
    Published in:Commun.Math.Phys.31:259-264,1973
    [593 Total citations in HEP]
  38. 1
    A Large mass hierarchy from a small extra dimension
    By Lisa Randall (Princeton U. & MIT, LNS), Raman Sundrum (Boston U.).
    Published in:Phys.Rev.Lett.83:3370-3373,1999 [arXiv: hep-ph/9905221]
    [3222 Total citations in HEP]
  39. 1
    On the theory of identical particles
    By J.M. Leinaas, J. Myrheim (Oslo U.).
    Published in:Nuovo Cim.B37:1-23,1977
    [510 Total citations in HEP]
  40. 1
    The Fate of the False Vacuum. 1. Semiclassical Theory
    By Sidney R. Coleman (Harvard U.).
    Published in:Phys.Rev.D15:2929-2936,1977, Erratum-ibid.D16:1248,1977
    [892 Total citations in HEP]
  41. 1
    Parafermionic Currents in the Two-Dimensional Conformal Quantum Field Theory and Selfdual Critical Points in Z(n) Invariant Statistical Systems
    By V.A. Fateev, A.B. Zamolodchikov (Landau Inst.).
    Published in:Sov.Phys.JETP 62:215-225,1985, Zh.Eksp.Teor.Fiz.89:380-399,1985
    [510 Total citations in HEP]
  42. 1
    Factorizable dual model of pions
    By A. Neveu, J.H. Schwarz (Princeton U.).
    Published in:Nucl.Phys.B31:86-112,1971
    [681 Total citations in HEP]
  43. 1
    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]
    [1131 Total citations in HEP]
  44. 1
    Quantum Mechanics of Fractional Spin Particles
    By Frank Wilczek (Santa Barbara, KITP).
    Published in:Phys.Rev.Lett.49:957,1982
    [567 Total citations in HEP]
  45. 1
    Effective Action for Composite Operators
    By John M. Cornwall (UCLA), R. Jackiw, E. Tomboulis (MIT, LNS).
    Published in:Phys.Rev.D10:2428-2445,1974
    [849 Total citations in HEP]
  46. 1
    Dynamical Breaking of Supersymmetry
    By Edward Witten (Princeton U.).
    Published in:Nucl.Phys.B188:513,1981
    [1700 Total citations in HEP]
  47. 1
    New Hamiltonian Formulation of General Relativity
    By A. Ashtekar (Syracuse U. & UC, Santa Barbara & Munich, Max Planck Inst.).
    Published in:Phys.Rev.D36:1587-1602,1987
    [695 Total citations in HEP]
  48. 1
    Gauge Algebra and Quantization
    By I.A. Batalin (Lebedev Inst.), G.A. Vilkovisky (Moscow, Standards Committee).
    Published in:Phys.Lett.B102:27-31,1981
    [616 Total citations in HEP]
  49. 1
    Deep Inelastic Scattering Beyond the Leading Order in Asymptotically Free Gauge Theories
    By William A. Bardeen, A.J. Buras, D.W. Duke, T. Muta (Fermilab).
    Published in:Phys.Rev.D18:3998,1978
    [1081 Total citations in HEP]
  50. 1
    Regularization and Renormalization of Gauge Fields
    By Gerard 't Hooft, M.J.G. Veltman (Utrecht U.).
    Published in:Nucl.Phys.B44:189-213,1972
    [2287 Total citations in HEP]
  51. 1
    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]
    [639 Total citations in HEP]
  52. 1
    The Quantum Sine-Gordon Equation as the Massive Thirring Model
    By Sidney R. Coleman (Harvard U.).
    Published in:Phys.Rev.D11:2088,1975
    [1179 Total citations in HEP]
  53. 1
    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
    [527 Total citations in HEP]
  54. 1
    Anti-de Sitter space and holography
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Adv.Theor.Math.Phys.2:253-291,1998 [arXiv: hep-th/9802150]
    [3045 Total citations in HEP]
  55. 1
    Spontaneous Creation of Almost Scale - Free Density Perturbations in an Inflationary Universe
    By James M. Bardeen (Washington U., Seattle), Paul J. Steinhardt (Pennsylvania U.), Michael S. Turner (Chicago U., Astron. Astrophys. Ctr.).
    Published in:Phys.Rev.D28:679,1983
    [956 Total citations in HEP]
  56. 1
    The Spectrum of Charmonium
    By E. Eichten, K. Gottfried, T. Kinoshita, John B. Kogut, K.D. Lane, Tung-Mow Yan (Cornell U., LNS).
    Published in:Phys.Rev.Lett.34:369-372,1975, Erratum-ibid.36:1276,1976
    [739 Total citations in HEP]
  57. 1
    A Nonlinear field theory
    By T.H.R. Skyrme (Harwell, AERE).
    Published in:Proc.Roy.Soc.Lond.A260:127-138,1961
    [1300 Total citations in HEP]
  58. 1
    The Hierarchy problem and new dimensions at a millimeter
    By Nima Arkani-Hamed (SLAC), Savas Dimopoulos (Stanford U., Phys. Dept.), G.R. Dvali (ICTP, Trieste).
    Published in:Phys.Lett.B429:263-272,1998 [arXiv: hep-ph/9803315]
    [3058 Total citations in HEP]
  59. 1
    Broken Symmetries
    By Jeffrey Goldstone (Cambridge U.), Abdus Salam, Steven Weinberg (Imperial Coll., London).
    Published in:Phys.Rev.127:965-970,1962
    [582 Total citations in HEP]
  60. 1
    Cosmic Strings and Domain Walls
    By Alexander Vilenkin (Tufts U.).
    Published in:Phys.Rept.121:263,1985
    [907 Total citations in HEP]
  61. 1
    Quantum Geometry of Bosonic Strings
    By Alexander M. Polyakov (Landau Inst.).
    Published in:Phys.Lett.B103:207-210,1981
    [1914 Total citations in HEP]
  62. 1
    A Method for simulating chiral fermions on the lattice
    By David B. Kaplan (UC, San Diego).
    Published in:Phys.Lett.B288:342-347,1992 [arXiv: hep-lat/9206013]
    [581 Total citations in HEP]
  63. 1
    Gravitation, Gauge Theories and Differential Geometry
    By Tohru Eguchi (SLAC & Chicago U., EFI & Chicago U.), Peter B. Gilkey (Princeton U., Math. Dept.), Andrew J. Hanson (LBL, Berkeley & NASA, Ames).
    Published in:Phys.Rept.66:213,1980
    [786 Total citations in HEP]
  64. 1
    Covariant Quantization of String Based on BRS Invariance
    By Mitsuhiro Kato, Kaku Ogawa (Kyoto U.).
    Published in:Nucl.Phys.B212:443,1983
    [529 Total citations in HEP]
  65. 1
    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
    [905 Total citations in HEP]
  66. 1
    Cosmological Consequences of a Rolling Homogeneous Scalar Field
    By Bharat Ratra, P.J.E. Peebles (Princeton U.).
    Published in:Phys.Rev.D37:3406,1988
    [1236 Total citations in HEP]
  67. 1
    Symmetries of baryons and mesons
    By Murray Gell-Mann (Caltech).
    Published in:Phys.Rev.125:1067-1084,1962
    [542 Total citations in HEP]
  68. 1
    An Exact Classical Solution for the 't Hooft Monopole and the Julia-Zee Dyon
    By M.K. Prasad, Charles M. Sommerfield (Yale U.).
    Published in:Phys.Rev.Lett.35:760-762,1975
    [869 Total citations in HEP]
  69. 1
    ON THE STRUCTURE OF THE TOPOLOGICAL PHASE OF TWO-DIMENSIONAL GRAVITY
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Nucl.Phys.B340:281-332,1990
    [555 Total citations in HEP]
  70. 1
    D-branes and the noncommutative torus
    By Michael R. Douglas (IHES, Bures-sur-Yvette & Rutgers U., Piscataway), Christopher M. Hull (Queen Mary, U. of London & Ecole Normale Superieure).
    Published in:JHEP 9802:008,1998 [arXiv: hep-th/9711165]
    [632 Total citations in HEP]
  71. 1
    Zeta Function Regularization of Path Integrals in Curved Space-Time
    By S.W. Hawking (Cambridge U.).
    Published in:Commun.Math.Phys.55:133,1977
    [729 Total citations in HEP]
  72. 1
    Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Adv.Theor.Math.Phys.2:505-532,1998 [arXiv: hep-th/9803131]
    [876 Total citations in HEP]
  73. 1
    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]
    [742 Total citations in HEP]
  74. 1
    Fusion Rules and Modular Transformations in 2D Conformal Field Theory
    By Erik P. Verlinde (Utrecht U.).
    Published in:Nucl.Phys.B300:360,1988
    [572 Total citations in HEP]
  75. 1
    Quantum Field Theory in Curved Space-Time
    By Bryce S. DeWitt (Texas U.).
    Published in:Phys.Rept.19:295-357,1975
    [578 Total citations in HEP]
  76. 1
    An SU(2) Anomaly
    By Edward Witten (Princeton U.).
    Published in:Phys.Lett.B117:324-328,1982
    [516 Total citations in HEP]
  77. 1
    Quantum Theory of Gravity. 1. The Canonical Theory
    By Bryce S. DeWitt (Princeton, Inst. Advanced Study & North Carolina U.).
    Published in:Phys.Rev.160:1113-1148,1967
    [1076 Total citations in HEP]
  78. 1
    The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems
    By Alan H. Guth (SLAC).
    Published in:Phys.Rev.D23:347-356,1981
    [2815 Total citations in HEP]
  79. 1
    Factorized s Matrices in Two-Dimensions as the Exact Solutions of Certain Relativistic Quantum Field Models
    By Alexander B. Zamolodchikov (Moscow, ITEP), Alexei B. Zamolodchikov (Dubna, JINR).
    Published in:Annals Phys.120:253-291,1979
    [828 Total citations in HEP]
  80. 1
    Quantized Singularities in the Electromagnetic Field
    By Paul A.M. Dirac.
    Published in:Proc.Roy.Soc.Lond.A133:60-72,1931
    [1099 Total citations in HEP]
  81. 1
    The Case for a positive cosmological Lambda term
    By Varun Sahni (IUCAA, Pune), Alexei A. Starobinsky (Landau Inst.).
    Published in:Int.J.Mod.Phys.D9:373-444,2000 [arXiv: astro-ph/9904398]
    [507 Total citations in HEP]
  82. 1
    De Sitter vacua in string theory
    By Shamit Kachru (Stanford U., Phys. Dept. & SLAC), Renata Kallosh, Andrei Linde (Stanford U., Phys. Dept.), Sandip P. Trivedi (Tata Inst.).
    Published in:Phys.Rev.D68:046005,2003 [arXiv: hep-th/0301240]
    [766 Total citations in HEP]
  83. 1
    Review of Particle Physics
    By Particle Data Group (W.-M. Yao et al.).
    Citations are counted for all versions of the RPP, most recent version is:
    Published in:J.Phys.G33:1-1232,2006
    [579 Total citations in HEP]
    [27539 Total Citations to all copies of RPP in HEP]
  84. 1
    Infinite Additional Symmetries in Two-Dimensional Conformal Quantum Field Theory
    By A.B. Zamolodchikov (Moscow, ITEP).
    Published in:Theor.Math.Phys.65:1205-1213,1985, Teor.Mat.Fiz.65:347-359,1985
    [554 Total citations in HEP]