Top Cited Articles during 2000 by math-ph

Top Cited Articles during 2000 by math-ph

The 50 most highly cited papers during 2000 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 Tue 20-Mar-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
    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
    [2262 Total citations in HEP]
  2. 3
    Generalized Hamiltonian dynamics
    By Paul A.M. Dirac (Cambridge U.).
    Published in:Can.J.Math.2:129-148,1950
    [663 Total citations in HEP]
  3. 2
    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
    [663 Total citations in HEP]
  4. 2
    Quantum Field Theory and the Jones Polynomial
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Commun.Math.Phys.121:351,1989
    [1420 Total citations in HEP]
  5. 2
    Classical direct interstring action
    By Michael Kalb, Pierre Ramond (Yale U.).
    Published in:Phys.Rev.D9:2273,1974
    [502 Total citations in HEP]
  6. 2
    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]
    [3074 Total citations in HEP]
  7. 2
    Notes on black hole evaporation
    By W.G. Unruh (McMaster U.).
    Published in:Phys.Rev.D14:870,1976
    [914 Total citations in HEP]
  8. 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]
  9. 1
    Kac-Moody and Virasoro Algebras in Relation to Quantum Physics
    By Peter Goddard (Cambridge U.), David I. Olive (Imperial Coll., London).
    Published in:Int.J.Mod.Phys.A1:303,1986
    [699 Total citations in HEP]
  10. 1
    Supergravity Theory in Eleven-Dimensions
    By E. Cremmer, B. Julia, Joel Scherk (Ecole Normale Superieure).
    Published in:Phys.Lett.B76:409-412,1978
    [981 Total citations in HEP]
  11. 1
    String theory and noncommutative geometry
    By Nathan Seiberg, Edward Witten (Princeton, Inst. Advanced Study).
    Published in:JHEP 9909:032,1999 [arXiv: hep-th/9908142]
    [2146 Total citations in HEP]
  12. 1
    String solitons
    By M.J. Duff (Newton Inst. Math. Sci., Cambridge & Texas A-M), Ramzi R. Khuri (McGill U. & CERN), J.X. Lu (Texas A-M).
    Published in:Phys.Rept.259:213-326,1995 [arXiv: hep-th/9412184]
    [536 Total citations in HEP]
  13. 1
    Conservation of Isotopic Spin and Isotopic Gauge Invariance
    By Chen-Ning Yang, Robert L. Mills (Brookhaven).
    Published in:Phys.Rev.96:191-195,1954
    [1199 Total citations in HEP]
  14. 1
    Superstring Theory
    By John H. Schwarz (Caltech).
    Published in:Phys.Rept.89:223-322,1982
    [1002 Total citations in HEP]
  15. 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]
    [4540 Total citations in HEP]
  16. 1
    Quantum Theory and Five-Dimensional Theory of Relativity. (In German and English)
    By O. Klein (Copenhagen U.).
    Published in:Z.Phys.37:895-906,1926, Surveys High Energ.Phys.5:241-244,1986
    [1128 Total citations in HEP]
  17. 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
    [989 Total citations in HEP]
  18. 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
    [2614 Total citations in HEP]
  19. 1
    (2+1)-Dimensional Gravity as an Exactly Soluble System
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Nucl.Phys.B311:46,1988
    [999 Total citations in HEP]
  20. 1
    Renormalization and Effective Lagrangians
    By Joseph Polchinski (Harvard U.).
    Published in:Nucl.Phys.B231:269-295,1984
    [617 Total citations in HEP]
  21. 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]
  22. 1
    Dual Theory for Free Fermions
    By Pierre Ramond (Fermilab).
    Published in:Phys.Rev.D3:2415-2418,1971
    [719 Total citations in HEP]
  23. 1
    Space-Time Supersymmetry in Compactified String Theory and Superconformal Models
    By Doron Gepner (Princeton U.).
    Published in:Nucl.Phys.B296:757,1988
    [568 Total citations in HEP]
  24. 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
    [931 Total citations in HEP]
  25. 1
    Factorizable dual model of pions
    By A. Neveu, J.H. Schwarz (Princeton U.).
    Published in:Nucl.Phys.B31:86-112,1971
    [698 Total citations in HEP]
  26. 1
    Phases of N=2 theories in two-dimensions
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Nucl.Phys.B403:159-222,1993 [arXiv: hep-th/9301042]
    [554 Total citations in HEP]
  27. 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]
    [1135 Total citations in HEP]
  28. 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]
    [1844 Total citations in HEP]
  29. 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
    [702 Total citations in HEP]
  30. 1
    Unity of superstring dualities
    By C.M. Hull (Queen Mary, U. of London), P.K. Townsend (Cambridge U.).
    Published in:Nucl.Phys.B438:109-137,1995 [arXiv: hep-th/9410167]
    [970 Total citations in HEP]
  31. 1
    The Quantum Sine-Gordon Equation as the Massive Thirring Model
    By Sidney R. Coleman (Harvard U.).
    Published in:Phys.Rev.D11:2088,1975
    [1189 Total citations in HEP]
  32. 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
    [528 Total citations in HEP]
  33. 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
    [746 Total citations in HEP]
  34. 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
    [876 Total citations in HEP]
  35. 1
    String theory dynamics in various dimensions
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Nucl.Phys.B443:85-126,1995 [arXiv: hep-th/9503124]
    [1461 Total citations in HEP]
  36. 1
    The Pomeranchuk Singularity in Nonabelian Gauge Theories
    By E.A. Kuraev, L.N. Lipatov, Victor S. Fadin (Novosibirsk, IYF).
    Published in:Sov.Phys.JETP 45:199-204,1977, Zh.Eksp.Teor.Fiz.72:377-389,1977
    [1671 Total citations in HEP]
  37. 1
    Strings on Orbifolds
    By Lance J. Dixon, Jeffrey A. Harvey, C. Vafa, Edward Witten (Princeton U.).
    Published in:Nucl.Phys.B261:678-686,1985
    [1161 Total citations in HEP]
  38. 1
    Strings on Orbifolds. 2.
    By Lance J. Dixon, Jeffrey A. Harvey (Princeton U.), C. Vafa (Harvard U.), Edward Witten (Princeton U.).
    Published in:Nucl.Phys.B274:285-314,1986
    [1155 Total citations in HEP]
  39. 1
    Heterotic and type I string dynamics from eleven-dimensions
    By Petr Horava (Princeton U.), Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Nucl.Phys.B460:506-524,1996 [arXiv: hep-th/9510209]
    [1619 Total citations in HEP]
  40. 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
    [1087 Total citations in HEP]
  41. 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
    [733 Total citations in HEP]
  42. 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]
    [1340 Total citations in HEP]
  43. 1
    Quantization of Nonabelian Gauge Theories
    By V.N. Gribov (St. Petersburg, INP).
    Published in:Nucl.Phys.B139:1,1978
    [816 Total citations in HEP]
  44. 1
    Fusion Rules and Modular Transformations in 2D Conformal Field Theory
    By Erik P. Verlinde (Utrecht U.).
    Published in:Nucl.Phys.B300:360,1988
    [574 Total citations in HEP]
  45. 1
    Gauge Invariance and Mass. 2.
    By Julian S. Schwinger (Harvard U.).
    Published in:Phys.Rev.128:2425-2429,1962
    [1056 Total citations in HEP]
  46. 1
    The Bare Pomeron in Quantum Chromodynamics
    By L.N. Lipatov (St. Petersburg, INP).
    Published in:Sov.Phys.JETP 63:904-912,1986, Zh.Eksp.Teor.Fiz.90:1536-1552,1986
    [529 Total citations in HEP]
  47. 1
    Concept of Nonintegrable Phase Factors and Global Formulation of Gauge Fields
    By Tai Tsun Wu (Harvard U.), Chen Ning Yang (SUNY, Stony Brook).
    Published in:Phys.Rev.D12:3845-3857,1975
    [657 Total citations in HEP]
  48. 1
    An SU(2) Anomaly
    By Edward Witten (Princeton U.).
    Published in:Phys.Lett.B117:324-328,1982
    [517 Total citations in HEP]
  49. 1
    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]
    [1622 Total citations in HEP]
  50. 1
    Forms of Relativistic Dynamics
    By Paul A.M. Dirac (Cambridge U.).
    Published in:Rev.Mod.Phys.21:392-399,1949
    [944 Total citations in HEP]
  51. 1
    Black strings and P-branes
    By Gary T. Horowitz, Andrew Strominger (UC, Santa Barbara).
    Published in:Nucl.Phys.B360:197-209,1991
    [635 Total citations in HEP]
  52. 1
    Hamiltonian Form of the Path Integral for Theories with a Gauge Freedom
    By M. Henneaux (Texas U.).
    Published in:Phys.Rept.126:1-66,1985
    [678 Total citations in HEP]
  53. 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]
  54. 1
    Field Theories with Superconductor Solutions
    By J. Goldstone (CERN).
    Published in:Nuovo Cim.19:154-164,1961
    [703 Total citations in HEP]
  55. 1
    The Pomeranchuk Singularity in Quantum Chromodynamics
    By I.I. Balitsky, L.N. Lipatov (St. Petersburg, INP).
    Published in:Sov.J.Nucl.Phys.28:822-829,1978, Yad.Fiz.28:1597-1611,1978
    [1716 Total citations in HEP]
  56. 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
    [673 Total citations in HEP]
    [27778 Total Citations to all copies of RPP in HEP]
  57. 1
    Charmonium: Comparison with Experiment
    By E. Eichten, K. Gottfried, T. Kinoshita, K.D. Lane, Tung-Mow Yan (Cornell U., LNS).
    Published in:Phys.Rev.D21:203,1980
    [1048 Total citations in HEP]