Top Cited Articles during 2003 by math-ph

Top Cited Articles during 2003 by math-ph

The 50 most highly cited papers during 2003 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 22-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. 6
    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]
  2. 5
    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]
  3. 3
    A Planar Diagram Theory for Strong Interactions
    By Gerard 't Hooft (CERN).
    Published in:Nucl.Phys.B72:461,1974
    [2503 Total citations in HEP]
  4. 3
    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]
  5. 3
    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]
  6. 2
    Unitary Representations of the Virasoro and Supervirasoro Algebras
    By P. Goddard, A. Kent (Cambridge U.), David I. Olive (Imperial Coll., London).
    Published in:Commun.Math.Phys.103:105-119,1986
    [587 Total citations in HEP]
  7. 2
    Wave Function of the Universe
    By J.B. Hartle (Chicago U., EFI & Santa Barbara, KITP), S.W. Hawking (Cambridge U. & Santa Barbara, KITP).
    Published in:Phys.Rev.D28:2960-2975,1983
    [1237 Total citations in HEP]
  8. 2
    Conformal Invariance, Unitarity and Two-Dimensional Critical Exponents
    By Daniel Friedan, Zong-an Qiu, Stephen H. Shenker (Chicago U., EFI & Chicago U.).
    Published in:Phys.Rev.Lett.52:1575-1578,1984
    [707 Total citations in HEP]
  9. 2
    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]
  10. 2
    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]
  11. 2
    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]
  12. 2
    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]
  13. 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]
  14. 2
    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]
  15. 2
    M theory as a matrix model: A Conjecture
    By Tom Banks (Rutgers U., Piscataway), W. Fischler (Texas U.), S.H. Shenker (Rutgers U., Piscataway), Leonard Susskind (Stanford U., Phys. Dept.).
    Published in:Phys.Rev.D55:5112-5128,1997 [arXiv: hep-th/9610043]
    [1619 Total citations in HEP]
  16. 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]
  17. 1
    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]
  18. 1
    Quantized space-time
    By Hartland S. Snyder (Northwestern U.).
    Published in:Phys.Rev.71:38-41,1947
    [542 Total citations in HEP]
  19. 1
    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]
  20. 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
    [537 Total citations in HEP]
  21. 1
    Generalized Hamiltonian dynamics
    By Paul A.M. Dirac (Cambridge U.).
    Published in:Can.J.Math.2:129-148,1950
    [658 Total citations in HEP]
  22. 1
    Structure of phenomenological Lagrangians. 1.
    By Sidney R. Coleman (Harvard U.), J. Wess, Bruno Zumino (New York U.).
    Published in:Phys.Rev.177:2239-2247,1969
    [956 Total citations in HEP]
  23. 1
    Quantum Gravity in Two-Dimensions
    By Alexander M. Polyakov (Landau Inst.).
    Published in:Mod.Phys.Lett.A2:893,1987
    [581 Total citations in HEP]
  24. 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]
  25. 1
    Topological Quantum Field Theory
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Commun.Math.Phys.117:353,1988
    [950 Total citations in HEP]
  26. 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]
  27. 1
    Brownian motion of a quantum oscillator
    By Julian S. Schwinger (Harvard U.).
    Published in:J.Math.Phys.2:407-432,1961
    [634 Total citations in HEP]
  28. 1
    Confinement of Quarks
    By Kenneth G. Wilson (Cornell U., LNS).
    Published in:Phys.Rev.D10:2445-2459,1974
    [2910 Total citations in HEP]
  29. 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]
  30. 1
    Conformal Field Theory and 2D Quantum Gravity Or Who's Afraid of Joseph Liouville?
    By Jacques Distler, Hikaru Kawai (Cornell U., LNS).
    Published in:Nucl.Phys.B321:509,1989
    [930 Total citations in HEP]
  31. 1
    Operator Content of Two-Dimensional Conformally Invariant Theories
    By John L. Cardy (UC, Santa Barbara).
    Published in:Nucl.Phys.B270:186-204,1986
    [665 Total citations in HEP]
  32. 1
    Spontaneous Symmetry Breakdown Without Massless Bosons
    By Peter W. Higgs (North Carolina U.).
    Published in:Phys.Rev.145:1156-1163,1966
    [1012 Total citations in HEP]
  33. 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]
  34. 1
    Evidence for oscillation of atmospheric neutrinos
    By Super-Kamiokande Collaboration (Y. Fukuda et al.).
    Published in:Phys.Rev.Lett.81:1562-1567,1998 [arXiv: hep-ex/9807003]
    [2799 Total citations in HEP]
  35. 1
    Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
    By N. Seiberg (Rutgers U., Piscataway & Princeton, Inst. Advanced Study), Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Nucl.Phys.B426:19-52,1994, Erratum-ibid.B430:485-486,1994 [arXiv: hep-th/9407087]
    [1836 Total citations in HEP]
  36. 1
    Current matrix elements from a relativistic quark model
    By R.P. Feynman, M. Kislinger, F. Ravndal (Caltech).
    Published in:Phys.Rev.D3:2706-2732,1971
    [683 Total citations in HEP]
  37. 1
    Dynamical Breaking of Supersymmetry
    By Edward Witten (Princeton U.).
    Published in:Nucl.Phys.B188:513,1981
    [1700 Total citations in HEP]
  38. 1
    Renormalization of Gauge Theories
    By C. Becchi (Genoa U.), A. Rouet, R. Stora (Marseille, CPT).
    Published in:Annals Phys.98:287-321,1976
    [994 Total citations in HEP]
  39. 1
    On string theory and black holes
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Phys.Rev.D44:314-324,1991
    [830 Total citations in HEP]
  40. 1
    Structure of phenomenological Lagrangians. 2.
    By Curtis G. Callan, Jr., Sidney R. Coleman (Harvard U.), J. Wess, Bruno Zumino (New York U.).
    Published in:Phys.Rev.177:2247-2250,1969
    [826 Total citations in HEP]
  41. 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]
  42. 1
    Grand Unified Theories and Proton Decay
    By Paul Langacker (SLAC & Pennsylvania U.).
    Published in:Phys.Rept.72:185,1981
    [908 Total citations in HEP]
  43. 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]
  44. 1
    Conformal Field Theories Coupled to 2D Gravity in the Conformal Gauge
    By F. David (Saclay, SPhT).
    Published in:Mod.Phys.Lett.A3:1651,1988
    [875 Total citations in HEP]
  45. 1
    Compact Gauge Fields and the Infrared Catastrophe
    By Alexander M. Polyakov (Landau Inst.).
    Published in:Phys.Lett.B59:82-84,1975
    [606 Total citations in HEP]
  46. 1
    On gauge invariance and vacuum polarization
    By Julian S. Schwinger (Harvard U.).
    Published in:Phys.Rev.82:664-679,1951
    [2314 Total citations in HEP]
  47. 1
    Strings in Background Fields
    By Curtis G. Callan, Jr., E.J. Martinec, M.J. Perry (Princeton U.), D. Friedan (Chicago U., EFI & Chicago U.).
    Published in:Nucl.Phys.B262:593,1985
    [1228 Total citations in HEP]
  48. 1
    Local Covariant Operator Formalism of Nonabelian Gauge Theories and Quark Confinement Problem
    By Taichiro Kugo (Kyoto U.), Izumi Ojima (Kyoto U., RIMS).
    Published in:Prog.Theor.Phys.Suppl.66:1,1979
    [566 Total citations in HEP]
  49. 1
    Partial Symmetries of Weak Interactions
    By S.L. Glashow (Copenhagen U.).
    Published in:Nucl.Phys.22:579-588,1961
    [3288 Total citations in HEP]
  50. 1
    On the general theory of collisions for particles with spin
    By M. Jacob, G.C. Wick (Brookhaven).
    Published in:Annals Phys.7:404-428,1959, Annals Phys.281:774-799,2000
    [613 Total citations in HEP]
  51. 1
    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
    [1053 Total citations in HEP]
  52. 1
    Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD
    By N. Seiberg (Rutgers U., Piscataway & Princeton, Inst. Advanced Study), Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Nucl.Phys.B431:484-550,1994 [arXiv: hep-th/9408099]
    [1335 Total citations in HEP]
  53. 1
    Gauge and Global Symmetries at High Temperature
    By Steven Weinberg (Harvard U.).
    Published in:Phys.Rev.D9:3357-3378,1974
    [1013 Total citations in HEP]
  54. 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]
  55. 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]
  56. 1
    Soliton Operators for the Quantized Sine-Gordon Equation
    By S. Mandelstam (UC, Berkeley).
    Published in:Phys.Rev.D11:3026,1975
    [720 Total citations in HEP]
  57. 1
    A Model of Leptons
    By Steven Weinberg (MIT, LNS).
    Published in:Phys.Rev.Lett.19:1264-1266,1967
    [6163 Total citations in HEP]
  58. 1
    Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. 1.
    By Yoichiro Nambu, G. Jona-Lasinio (Chicago U., EFI).
    Published in:Phys.Rev.122:345-358,1961
    [2725 Total citations in HEP]
  59. 1
    Conformal Algebra and Multipoint Correlation Functions in Two-Dimensional Statistical Models
    By V.S. Dotsenko (Nordita), V.A. Fateev (Landau Inst.).
    Published in:Nucl.Phys.B240:312,1984
    [796 Total citations in HEP]
  60. 1
    Statistical thermodynamics of strong interactions at high-energies
    By R. Hagedorn (CERN).
    Published in:Nuovo Cim.Suppl.3:147-186,1965
    [816 Total citations in HEP]