Top Cited Articles during 2001 by math-ph

Top Cited Articles during 2001 by math-ph

The 50 most highly cited papers during 2001 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 7-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
    Generalized Hamiltonian dynamics
    By Paul A.M. Dirac (Cambridge U.).
    Published in:Can.J.Math.2:129-148,1950
    [662 Total citations in HEP]
  2. 4
    Confinement of Quarks
    By Kenneth G. Wilson (Cornell U., LNS).
    Published in:Phys.Rev.D10:2445-2459,1974
    [2927 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
    [656 Total citations in HEP]
  4. 3
    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]
  5. 3
    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
    [929 Total citations in HEP]
  6. 3
    Conformal Field Theories Coupled to 2D Gravity in the Conformal Gauge
    By F. David (Saclay, SPhT).
    Published in:Mod.Phys.Lett.A3:1651,1988
    [874 Total citations in HEP]
  7. 2
    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
    [2598 Total citations in HEP]
  8. 2
    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]
    [1133 Total citations in HEP]
  9. 2
    An Alternative to compactification
    By Lisa Randall (Princeton U. & MIT, LNS), Raman Sundrum (Boston U.).
    Published in:Phys.Rev.Lett.83:4690-4693,1999 [arXiv: hep-th/9906064]
    [3001 Total citations in HEP]
  10. 2
    Notes on black hole evaporation
    By W.G. Unruh (McMaster U.).
    Published in:Phys.Rev.D14:870,1976
    [913 Total citations in HEP]
  11. 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]
  12. 2
    Quantization of Nonabelian Gauge Theories
    By V.N. Gribov (St. Petersburg, INP).
    Published in:Nucl.Phys.B139:1,1978
    [813 Total citations in HEP]
  13. 2
    Nonabelian Bosonization in Two-Dimensions
    By Edward Witten (Princeton U.).
    Published in:Commun.Math.Phys.92:455-472,1984
    [1504 Total citations in HEP]
  14. 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]
  15. 1
    Pseudoparticle Solutions of the Yang-Mills Equations
    By A.A. Belavin, Alexander M. Polyakov, A.S. Shvarts, Yu.S. Tyupkin (Landau Inst.).
    Published in:Phys.Lett.B59:85-87,1975
    [1936 Total citations in HEP]
  16. 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]
    [2138 Total citations in HEP]
  17. 1
    Consequences of anomalous Ward identities
    By J. Wess (CERN & Karlsruhe U.), B. Zumino (CERN).
    Published in:Phys.Lett.B37:95,1971
    [1708 Total citations in HEP]
  18. 1
    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]
  19. 1
    Gravitational Anomalies
    By Luis Alvarez-Gaume (Harvard U.), Edward Witten (Princeton U.).
    Published in:Nucl.Phys.B234:269,1984
    [958 Total citations in HEP]
  20. 1
    Boundary Conditions, Fusion Rules and the Verlinde Formula
    By John L. Cardy (UC, Santa Barbara).
    Published in:Nucl.Phys.B324:581,1989
    [506 Total citations in HEP]
  21. 1
    Precise measurement of the positive muon anomalous magnetic moment
    By Muon g-2 Collaboration (H.N. Brown et al.).
    Published in:Phys.Rev.Lett.86:2227-2231,2001 [arXiv: hep-ex/0102017]
    [551 Total citations in HEP]
  22. 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
    [1130 Total citations in HEP]
  23. 1
    Gauge theory correlators from noncritical string theory
    By S.S. Gubser, Igor R. Klebanov, Alexander M. Polyakov (Princeton U.).
    Published in:Phys.Lett.B428:105-114,1998 [arXiv: hep-th/9802109]
    [2696 Total citations in HEP]
  24. 1
    All Possible Generators of Supersymmetries of the s Matrix
    By Rudolf Haag (CERN), Jan T. Lopuszanski (Wroclaw U.), Martin Sohnius (Karlsruhe U.).
    Published in:Nucl.Phys.B88:257,1975
    [519 Total citations in HEP]
  25. 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]
  26. 1
    An Introduction to the Theory of Dual Models and Strings
    By Joel Scherk (New York U.).
    Published in:Rev.Mod.Phys.47:123-164,1975
    [536 Total citations in HEP]
  27. 1
    Constraints on Supersymmetry Breaking
    By Edward Witten (Princeton U.).
    Published in:Nucl.Phys.B202:253,1982
    [1003 Total citations in HEP]
  28. 1
    Path Integral Measure for Gauge Invariant Fermion Theories
    By Kazuo Fujikawa (INS, Tokyo).
    Published in:Phys.Rev.Lett.42:1195,1979
    [796 Total citations in HEP]
  29. 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]
    [3234 Total citations in HEP]
  30. 1
    Quantization of Gauge Theories with Linearly Dependent Generators
    By I.A. Batalin (Lebedev Inst.), G.A. Vilkovisky (Moscow, Standards Committee).
    Published in:Phys.Rev.D28:2567-2582,1983, Erratum-ibid.D30:508,1984
    [722 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
    Topologically Massive Gauge Theories
    By S. Deser (Brandeis U.), R. Jackiw, S. Templeton (MIT, LNS).
    Published in:Annals Phys.140:372-411,1982, Erratum-ibid.185:406,1988, Annals Phys.281:409-449,2000
    [1492 Total citations in HEP]
  33. 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]
    [1840 Total citations in HEP]
  34. 1
    Microscopic origin of the Bekenstein-Hawking entropy
    By Andrew Strominger (UC, Santa Barbara), Cumrun Vafa (Harvard U.).
    Published in:Phys.Lett.B379:99-104,1996 [arXiv: hep-th/9601029]
    [1094 Total citations in HEP]
  35. 1
    String Theory on Group Manifolds
    By Doron Gepner, Edward Witten (Princeton U.).
    Published in:Nucl.Phys.B278:493,1986
    [582 Total citations in HEP]
  36. 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
    [617 Total citations in HEP]
  37. 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]
  38. 1
    Three-Dimensional Massive Gauge Theories
    By S. Deser (Brandeis U.), R. Jackiw, S. Templeton (MIT, LNS).
    Published in:Phys.Rev.Lett.48:975-978,1982
    [813 Total citations in HEP]
  39. 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]
  40. 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]
    [3060 Total citations in HEP]
  41. 1
    Axial vector vertex in spinor electrodynamics
    By Stephen L. Adler (Princeton U.).
    Published in:Phys.Rev.177:2426-2438,1969
    [2168 Total citations in HEP]
  42. 1
    Quantum Geometry of Bosonic Strings
    By Alexander M. Polyakov (Landau Inst.).
    Published in:Phys.Lett.B103:207-210,1981
    [1916 Total citations in HEP]
  43. 1
    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]
  44. 1
    A PCAC puzzle: pi0 --> gamma gamma in the sigma model
    By J.S. Bell, R. Jackiw (CERN).
    Published in:Nuovo Cim.A60:47-61,1969
    [1907 Total citations in HEP]
  45. 1
    The infrared divergence phenomena and high-energy processes
    By D.R. Yennie (Minnesota U.), Steven C. Frautschi (UC, Berkeley), H. Suura (Nihon U., Tokyo).
    Published in:Annals Phys.13:379-452,1961
    [707 Total citations in HEP]
  46. 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
    [906 Total citations in HEP]
  47. 1
    Renormalization of the Abelian Higgs-Kibble Model
    By C. Becchi, A. Rouet, R. Stora (Marseille, CPT).
    Published in:Commun.Math.Phys.42:127-162,1975
    [695 Total citations in HEP]
  48. 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
    [870 Total citations in HEP]
  49. 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]
  50. 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
    [1080 Total citations in HEP]
  51. 1
    Fusion Rules and Modular Transformations in 2D Conformal Field Theory
    By Erik P. Verlinde (Utrecht U.).
    Published in:Nucl.Phys.B300:360,1988
    [573 Total citations in HEP]
  52. 1
    Path Integral for Gauge Theories with Fermions
    By Kazuo Fujikawa (INS, Tokyo).
    Published in:Phys.Rev.D21:2848,1980, Erratum-ibid.D22:1499,1980
    [869 Total citations in HEP]
  53. 1
    A Property of Electric and Magnetic Flux in Nonabelian Gauge Theories
    By Gerard 't Hooft (Utrecht U.).
    Published in:Nucl.Phys.B153:141,1979
    [718 Total citations in HEP]