Top Cited Articles during 1999 by math-ph

Top Cited Articles during 1999 by math-ph

The 50 most highly cited papers during 1999 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 Fri 16-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. 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
    [527 Total citations in HEP]
  2. 3
    Topological Sigma Models
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Commun.Math.Phys.118:411,1988
    [503 Total citations in HEP]
  3. 3
    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]
    [1843 Total citations in HEP]
  4. 3
    Dynamical Breaking of Supersymmetry
    By Edward Witten (Princeton U.).
    Published in:Nucl.Phys.B188:513,1981
    [1703 Total citations in HEP]
  5. 3
    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]
    [1339 Total citations in HEP]
  6. 2
    Magnetic Monopoles in Unified Gauge Theories
    By Gerard 't Hooft (CERN).
    Published in:Nucl.Phys.B79:276-284,1974
    [1844 Total citations in HEP]
  7. 2
    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]
  8. 2
    Particle Spectrum in the Quantum Field Theory
    By Alexander M. Polyakov (Landau Inst.).
    Published in:JETP Lett.20:194-195,1974, Pisma Zh.Eksp.Teor.Fiz.20:430-433,1974
    [1447 Total citations in HEP]
  9. 2
    A Planar Diagram Theory for Strong Interactions
    By Gerard 't Hooft (CERN).
    Published in:Nucl.Phys.B72:461,1974
    [2512 Total citations in HEP]
  10. 2
    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]
  11. 2
    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]
  12. 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
    [2610 Total citations in HEP]
  13. 2
    Topological Quantum Field Theory
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Commun.Math.Phys.117:353,1988
    [952 Total citations in HEP]
  14. 2
    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]
  15. 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]
  16. 2
    Tasi lectures on D-branes
    By Joseph Polchinski (Santa Barbara, KITP).
    HEP Record [arXiv: hep-th/9611050]
    [948 Total citations in HEP]
  17. 2
    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]
  18. 2
    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
    [908 Total citations in HEP]
  19. 1
    Quantum mechanics as a statistical theory
    By J.E. Moyal.
    Published in:Proc.Cambridge Phil.Soc.45:99-124,1949
    [512 Total citations in HEP]
  20. 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]
  21. 1
    Quantized space-time
    By Hartland S. Snyder (Northwestern U.).
    Published in:Phys.Rev.71:38-41,1947
    [545 Total citations in HEP]
  22. 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
    [1938 Total citations in HEP]
  23. 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]
  24. 1
    LIGO: The Laser interferometer gravitational wave observatory
    By Alex Abramovici, William E. Althouse, Ronald W.P. Drever, Yekta Gursel, Seiji Kawamura, Frederick J. Raab, David Shoemaker, Lisa Sievers, Robert E. Spero, Kip S. Thorne, Rochus E. Vogt, Rainer Weiss, Stanley E. Whitcomb, Michael E. Zucker (Caltech & Caltech, JPL & MIT, LNS).
    Published in:Science 256:325-333,1992
    [564 Total citations in HEP]
  25. 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
    [542 Total citations in HEP]
  26. 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
    [1131 Total citations in HEP]
  27. 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]
  28. 1
    Quantum Field Theory and the Jones Polynomial
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Commun.Math.Phys.121:351,1989
    [1419 Total citations in HEP]
  29. 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]
  30. 1
    Renormalization and Effective Lagrangians
    By Joseph Polchinski (Harvard U.).
    Published in:Nucl.Phys.B231:269-295,1984
    [616 Total citations in HEP]
  31. 1
    Soft Breaking of Supersymmetry
    By L. Girardello (Harvard U.), Marcus T. Grisaru (Brandeis U.).
    Published in:Nucl.Phys.B194:65,1982
    [508 Total citations in HEP]
  32. 1
    Constraints on Supersymmetry Breaking
    By Edward Witten (Princeton U.).
    Published in:Nucl.Phys.B202:253,1982
    [1005 Total citations in HEP]
  33. 1
    Classical direct interstring action
    By Michael Kalb, Pierre Ramond (Yale U.).
    Published in:Phys.Rev.D9:2273,1974
    [502 Total citations in HEP]
  34. 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
    [929 Total citations in HEP]
  35. 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]
  36. 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
    [513 Total citations in HEP]
  37. 1
    A Unified Field Theory of Mesons and Baryons
    By T.H.R. Skyrme (Harwell, AERE).
    Published in:Nucl.Phys.31:556-569,1962
    [804 Total citations in HEP]
  38. 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]
  39. 1
    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]
  40. 1
    Significance of electromagnetic potentials in the quantum theory
    By Y. Aharonov, D. Bohm (Bristol U.).
    Published in:Phys.Rev.115:485-491,1959
    [701 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
    [1189 Total citations in HEP]
  42. 1
    Mesons in a Relativized Quark Model with Chromodynamics
    By S. Godfrey, Nathan Isgur (Toronto U.).
    Published in:Phys.Rev.D32:189-231,1985
    [1260 Total citations in HEP]
  43. 1
    Space-time approach to nonrelativistic quantum mechanics
    By R.P. Feynman (Cornell U., Phys. Dept.).
    Published in:Rev.Mod.Phys.20:367-387,1948
    [560 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
    [874 Total citations in HEP]
  45. 1
    On gauge invariance and vacuum polarization
    By Julian S. Schwinger (Harvard U.).
    Published in:Phys.Rev.82:664-679,1951
    [2343 Total citations in HEP]
  46. 1
    Solutions of four-dimensional field theories via M theory
    By Edward Witten (Princeton, Inst. Advanced Study).
    Published in:Nucl.Phys.B500:3-42,1997 [arXiv: hep-th/9703166]
    [516 Total citations in HEP]
  47. 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]
  48. 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]
  49. 1
    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]
  50. 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]
  51. 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
    [1098 Total citations in HEP]
  52. 1
    Soliton Operators for the Quantized Sine-Gordon Equation
    By S. Mandelstam (UC, Berkeley).
    Published in:Phys.Rev.D11:3026,1975
    [723 Total citations in HEP]
  53. 1
    Nonabelian Bosonization in Two-Dimensions
    By Edward Witten (Princeton U.).
    Published in:Commun.Math.Phys.92:455-472,1984
    [1504 Total citations in HEP]
  54. 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]
  55. 1
    Ordering, metastability and phase transitions in two-dimensional systems
    By J.M. Kosterlitz, D.J. Thouless (Birmingham U.).
    Published in:J.Phys.C6:1181-1203,1973
    [623 Total citations in HEP]
  56. 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]
  57. 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
    [719 Total citations in HEP]
  58. 1
    Topology of the Gauge Condition and New Confinement Phases in Nonabelian Gauge Theories
    By Gerard 't Hooft (Caltech).
    Published in:Nucl.Phys.B190:455,1981
    [1008 Total citations in HEP]
  59. 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
    [679 Total citations in HEP]
  60. 1
    Field Theories with Superconductor Solutions
    By J. Goldstone (CERN).
    Published in:Nuovo Cim.19:154-164,1961
    [703 Total citations in HEP]