Top Cited Articles of All Time (2000 edition) in math-ph

Top Cited Articles of All Time (2000 edition) in math-ph

The 50 most highly cited papers of All Time (2000 edition) 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 Mon 19-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. 21
    Microlocal analysis and interacting quantum field theories: Renormalization on physical backgrounds
    By Romeo Brunetti, Klaus Fredenhagen (Hamburg U.).
    Published in:Commun.Math.Phys.208:623-661,2000 [arXiv: math-ph/9903028]
    [76 Total citations in HEP]
  2. 11
    Geometric modular action and space-time symmetry groups
    By Detlev Buchholz (Gottingen U.), Olaf Dreyer (Penn State U.), Martin Florig, Stephen J. Summers (Florida U.).
    Published in:Rev.Math.Phys.12:475-560,2000 [arXiv: math-ph/9805026]
    [29 Total citations in HEP]
  3. 10
    Supersymmetric quantum theory and noncommutative geometry
    By J. Frohlich (Zurich, ETH), O. Grandjean (Harvard U.), A. Recknagel (IHES, Bures-sur-Yvette).
    Published in:Commun.Math.Phys.203:119-184,1999 [arXiv: math-ph/9807006]
    [19 Total citations in HEP]
  4. 8
    On a multisymplectic formulation of the classical BRST symmetry for first order field theories. Part 1. Algebraic structures
    By S.P. Hrabak (King's Coll. London).
    HEP Record [arXiv: math-ph/9901012]
    [16 Total citations in HEP]
  5. 7
    Passivity and microlocal spectrum condition
    By Hanno Sahlmann, Rainer Verch (Gottingen U.).
    Published in:Commun.Math.Phys.214:705-731,2000 [arXiv: math-ph/0002021]
    [19 Total citations in HEP]
  6. 7
    On a multisymplectic formulation of the classical BRST symmetry for first order field theories. Part 2. Geometric structures
    By S.P. Hrabak (King's Coll. London).
    HEP Record [arXiv: math-ph/9901013]
    [15 Total citations in HEP]
  7. 6
    Field dependent symmetries of a nonrelativistic fluid model
    By M. Hassaine, P.A. Horvathy (Tours U.).
    Published in:Annals Phys.282:218-246,2000 [arXiv: math-ph/9904022]
    [30 Total citations in HEP]
  8. 6
    Homogeneous HKT and QKT manifolds
    By A. Opfermann, G. Papadopoulos (Cambridge U., DAMTP).
    HEP Record [arXiv: math-ph/9807026]
    [13 Total citations in HEP]
  9. 6
    Modular theory and geometry
    By B. Schroer, H.W. Wiesbrock (Freie U., Berlin).
    Published in:Rev.Math.Phys.12:139-158,2000 [arXiv: math-ph/9809003]
    [19 Total citations in HEP]
  10. 6
    On the multimomentum bundles and the Legendre maps in field theories
    By A. Echeverria-Enriquez, M.C. Munoz-Lecanda, N. Roman-Roy (Barcelona, Polytechnic U.).
    Published in:Rept.Math.Phys.45:85-105,2000 [arXiv: math-ph/9904007]
    [9 Total citations in HEP]
  11. 5
    Noncommutative geometry and fundamental interactions
    By Thomas Krajewski (Provence U.).
    HEP Record [arXiv: math-ph/9903047]
    [10 Total citations in HEP]
  12. 5
    Wavefront sets in algebraic quantum field theory
    By Rainer Verch (Gottingen U.).
    Published in:Commun.Math.Phys.205:337-367,1999 [arXiv: math-ph/9807022]
    [9 Total citations in HEP]
  13. 5
    Stratification of the generalized gauge orbit space
    By Christian Fleischhack (Leipzig U., Math. Inst. & Leipzig U. & Leipzig, Max Planck Inst.).
    HEP Record [arXiv: math-ph/0001008]
    [11 Total citations in HEP]
  14. 4
    Singularity structure of the two point function of the free Dirac field on a globally hyperbolic space-time
    By Kai Kratzert (DESY).
    Published in:Annalen Phys.9:475-498,2000 [arXiv: math-ph/0003015]
    [10 Total citations in HEP]
  15. 4
    Noncommutative geometry and a class of completely integrable models
    By A. Dimakis (Aegean U.), Folkert Mueller-Hoissen (Gottingen, Max Planck Inst.).
    Published in:Czech.J.Phys.48:1319-1324,1998 [arXiv: math-ph/9809023]
    [5 Total citations in HEP]
  16. 4
    Reduced phase space: quotienting procedure for gauge theories
    By J.M. Pons (Barcelona U.), D.C. Salisbury (Austin Coll.), L.C. Shepley (Texas U.).
    Published in:J.Phys.A32:419-430,1999 [arXiv: math-ph/9811029]
    [8 Total citations in HEP]
  17. 4
    Gauge invariance of the Chern-Simons action in noncommutative geometry
    By Thomas Krajewski (Marseille, CPT & Provence U. & Ecole Normale Superieure).
    HEP Record [arXiv: math-ph/9810015]
    [14 Total citations in HEP]
  18. 4
    Charged sectors, spin and statistics in quantum field theory on curved space-times
    By D. Guido (Basilicata U., Potenza), R. Longo, J.E. Roberts (Rome U.,Tor Vergata), R. Verch (Gottingen U.).
    Published in:Rev.Math.Phys.13:125-198,2001 [arXiv: math-ph/9906019]
    [22 Total citations in HEP]
  19. 4
    Deformations of extended objects with edges
    By Riccardo Capovilla (CINVESTAV, IPN), Jemal Guven (Dublin Inst.).
    Published in:Phys.Rev.D57:5158-5165,1998 [arXiv: math-ph/9804002]
    [9 Total citations in HEP]
  20. 4
    Local quantum constraints
    By Hendrik Grundling (New South Wales U.), Fernando Lledo (Potsdam U.).
    Published in:Rev.Math.Phys.12:1159-1218,2000 [arXiv: math-ph/9812022]
    [9 Total citations in HEP]
  21. 4
    Extended objects with edges
    By Riccardo Capovilla (CINVESTAV, IPN), Jemal Guven (Mexico U., ICN).
    Published in:Phys.Rev.D55:2388-2393,1997 [arXiv: math-ph/9804001]
    [5 Total citations in HEP]
  22. 4
    Multivector field formulation of Hamiltonian field theories: Equations and symmetries
    By A. Echeverria-Enriquez, M.C. Munoz-Lecanda, N. Roman-Roy (Barcelona, Polytechnic U.).
    Published in:J.Phys.A32:8461-8484,1999 [arXiv: math-ph/9907007]
    [13 Total citations in HEP]
  23. 4
    Hyphs and the Ashtekar-Lewandowski measure
    By Christian Fleischhack (Leipzig U. & Leipzig, Max Planck Inst.).
    HEP Record [arXiv: math-ph/0001007]
    [11 Total citations in HEP]
  24. 4
    A Vertical exterior derivative in multisymplectic geometry and a graded Poisson bracket for nontrivial geometries
    By Cornelius Paufler (Freiburg U.).
    HEP Record [arXiv: math-ph/0002032]
    [9 Total citations in HEP]
  25. 4
    Quantum groups and von Neumann theorem
    By Alfredo Iorio, Giuseppe Vitiello (Salerno U. & INFN, Naples).
    Published in:Mod.Phys.Lett.B8:269,1994 [arXiv: math-ph/0009035]
    [11 Total citations in HEP]
  26. 4
    Mathematical foundations of geometric quantization
    By Arturo Echeverria-Enriquez, Miguel C. Munoz-Lecanda, Narcisco Roman-Roy, Carles Victoria-Monge (Barcelona U.).
    Published in:Extracta Math.13:135-238,1998 [arXiv: math-ph/9904008]
    [13 Total citations in HEP]
  27. 3
    Critical phenomena in nonlinear sigma models
    By Steven L. Liebling, Eric W. Hirschmann (Long Island U., Southampton), James Isenberg (Oregon U.).
    Published in:J.Math.Phys.41:5691-5700,2000 [arXiv: math-ph/9911020]
    [12 Total citations in HEP]
  28. 3
    Action of a finite quantum group on the algebra of complex N x N matrices
    By Robert Coquereaux, G.E. Schieber (Marseille, CPT).
    Published in:AIP Conf.Proc.453:9-23,1998 [arXiv: math-ph/9807016]
    [5 Total citations in HEP]
  29. 3
    Constructive aspects of algebraic Euclidean field theory
    By Dirk Schlingemann (Schrodinger Inst., Vienna).
    HEP Record [arXiv: math-ph/9902022]
    [3 Total citations in HEP]
  30. 3
    The Difference between Abelian and nonAbelian models: Fact and fancy
    By A. Patrascioiu (Arizona U.), E. Seiler (Munich, Max Planck Inst.).
    HEP Record [arXiv: math-ph/9903038]
    [4 Total citations in HEP]
  31. 3
    Projective modules of finite type and monopoles over S**2
    By Giovanni Landi (Trieste U. & INFN, Naples).
    Published in:J.Geom.Phys.37:47-62,2001 [arXiv: math-ph/9905014]
    [22 Total citations in HEP]
  32. 3
    Michel theory of symmetry breaking and gauge theories
    By G. Gaeta (IHES, Bures-sur-Yvette), P. Morando (Turin Polytechnic).
    Published in:Annals Phys.260:149-170,1997 [arXiv: math-ph/0207002]
    [3 Total citations in HEP]
  33. 3
    An Introduction to Clifford supermodules
    By G. Roepstorff, C. Vehns (Aachen, Tech. Hochsch.).
    HEP Record [arXiv: math-ph/9908029]
    [4 Total citations in HEP]
  34. 3
    Obstructions to quantization
    By Mark J. Gotay (Hawaii U.).
    HEP Record [arXiv: math-ph/9809011]
    [6 Total citations in HEP]
  35. 3
    Models of local relativistic quantum fields with indefinite metric (in all dimensions)
    By S. Albeverio, H. Gottschalk, J. Wu (Ruhr U., Bochum & Bielefeld U. & CERFIM, Locarno & Beijing, Inst. Appl. Math.).
    Published in:Commun.Math.Phys.184:509-531,1997 [arXiv: math-ph/0409057]
    [9 Total citations in HEP]
  36. 3
    Modular groups of quantum fields in thermal states
    By H.J. Borchers (Gottingen U.), J. Yngvason (Vienna U.).
    Published in:J.Math.Phys.40:601-624,1999 [arXiv: math-ph/9805013]
    [7 Total citations in HEP]
  37. 3
    Gauge orbit types for generalized connections
    By Christian Fleischhack (Leipzig U., Math. Inst. & Leipzig U. & Leipzig, Max Planck Inst.).
    Published in:Commun.Math.Phys.214:607-649,2000 [arXiv: math-ph/0001006]
    [16 Total citations in HEP]
  38. 3
    Deconstructing monopoles and instantons
    By Giovanni Landi (Trieste U. & INFN, Naples).
    Published in:Rev.Math.Phys.12:1367-1390,2000 [arXiv: math-ph/9812004]
    [22 Total citations in HEP]
  39. 3
    sl(2, C) as a complex Lie algebra and the associated nonHermitian Hamiltonians with real eigenvalues
    By B. Bagchi (Calcutta U., Dept. Appl. Math.), C. Quesne (Brussels U., PNTPM).
    Published in:Phys.Lett.A273:285-292,2000 [arXiv: math-ph/0008020]
    [55 Total citations in HEP]
  40. 2
    Novel generalization of three-dimensional Yang-Mills theory
    By S.C. Anco (British Columbia U. & Maryland U.).
    Published in:J.Math.Phys.38:3399-3413,1997 [arXiv: math-ph/0209050]
    [6 Total citations in HEP]
  41. 2
    Geometry, stochastic calculus and quantum fields in a noncommutative space-time
    By R. Vilela Mendes (Lisbon, IFM).
    Published in:J.Math.Phys.41:156-186,2000 [arXiv: math-ph/9907001]
    [11 Total citations in HEP]
  42. 2
    Thermodynamic Bethe ansatz equation for osp(1|2) integrable spin chain
    By Kazumitsu Sakai, Zengo Tsuboi (Tokyo U., Komaba).
    Published in:Mod.Phys.Lett.A14:2427-2435,1999 [arXiv: math-ph/9911010]
    [5 Total citations in HEP]
  43. 2
    Convoluted generalized white noise, Schwinger functions and their analytic continuation to Wightman functions
    By S. Albeverio, H. Gottschalk, Jiang-Lun Wu (Ruhr U., Bochum & Bielefeld U. & CERFIM, Locarno & Beijing, Inst. Appl. Math.).
    Published in:Rev.Math.Phys.8:763-817,1996 [arXiv: math-ph/0409056]
    [5 Total citations in HEP]
  44. 2
    Heat kernel asymptotics of Gilkey-Smith boundary value problem
    By Ivan G. Avramidi (Iowa U.), Giampiero Esposito (INFN, Naples).
    Published in:AMS/IP Stud.Adv.Math.13:15-34,1999 [arXiv: math-ph/9812010]
    [9 Total citations in HEP]
  45. 2
    Lie symmetries of Yang-Mills equations
    By Louis Marchildon (Quebec U., Trois Rivieres).
    Published in:J.Group Theor.Phys.3:115-130,1995 [arXiv: math-ph/0307028]
    [2 Total citations in HEP]
  46. 2
    Bidifferential calculi and integrable models
    By Aristophanes Dimakis (Aegean U.), Folkert Mueller-Hoissen (Gottingen U.).
    HEP Record [arXiv: math-ph/9908015]
    [10 Total citations in HEP]
  47. 2
    Dirac gamma equation, classical gauge fields and Clifford algebra
    By N.G. Marchuk (Steklov Math. Inst., Moscow).
    Published in:Adv.Appl.Clifford Algebras 8:181-224,1998 [arXiv: math-ph/9811022]
    [3 Total citations in HEP]
  48. 2
    Complex eigenvalues of the parabolic potential barrier and Gel'fand triplet
    By Toshiki Shimbori (Tsukuba U.), Tsunehiro Kobayashi (Tsukuba Coll. Tech.).
    Published in:Nuovo Cim.B115:325-342,2000 [arXiv: math-ph/9910009]
    [5 Total citations in HEP]
  49. 2
    Loop groups, anyons and the Calogero-Sutherland model
    By Alan L. Carey (Adelaide U.), Edwin Langmann (Royal Inst. Tech., Stockholm).
    Published in:Commun.Math.Phys.201:1-34,1999 [arXiv: math-ph/9805010]
    [10 Total citations in HEP]
  50. 2
    On the Groenewold-Van Hove problem for R**2n
    By Mark J. Gotay (Hawaii U.).
    Published in:J.Math.Phys.40:2107-2116,1999 [arXiv: math-ph/9809015]
    [7 Total citations in HEP]
  51. 2
    The Reeh-Schlieder property for quantum fields on stationary space-times
    By Alexander Strohmaier (Leipzig U.).
    Published in:Commun.Math.Phys.215:105-118,2000 [arXiv: math-ph/0002054]
    [9 Total citations in HEP]
  52. 2
    Matrix integrals and the counting of tangles and links
    By Paul Zinn-Justin (Rutgers U., Piscataway), J.B. Zuber (Saclay).
    HEP Record [arXiv: math-ph/9904019]
    [6 Total citations in HEP]
  53. 2
    A Note on modified Veselov-Novikov hierarchy
    By Kengo Yamagishi.
    Published in:Phys.Lett.B454:31-37,1999 [arXiv: math-ph/9904017]
    [2 Total citations in HEP]
  54. 2
    Geometry of multisymplectic Hamiltonian first order field theories
    By Arturo Echeverria-Enriquez, Miguel C. Munoz-Lecanda, Narciso Roman-Roy (Barcelona U.).
    Published in:J.Math.Phys.41:7402-7444,2000 [arXiv: math-ph/0004005]
    [16 Total citations in HEP]
  55. 2
    Moduli space of selfdual gauge fields, holomorphic bundles and cohomology sets
    By Tatiana A. Ivanova (Dubna, JINR).
    HEP Record [arXiv: math-ph/9902015]
    [2 Total citations in HEP]
  56. 2
    Anyons and the Bose-Fermi duality in the finite temperature Thirring model
    By N. Ilieva, Walter E. Thirring (Vienna U. & Schrodinger Inst., Vienna).
    Published in:Theor.Math.Phys.121:1294-1314,1999, Teor.Mat.Fiz.121:40-65,1999, Erratum-ibid.125:1742,2000 [arXiv: math-ph/9906020]
    [3 Total citations in HEP]
  57. 2
    An Algebraic characterization of vacuum states in Minkowski space. 2. Continuity aspects
    By Detlev Buchholz (Gottingen U.), Martin Florig, Stephen J. Summers (Florida U.).
    Published in:Lett.Math.Phys.49:337-350,1999 [arXiv: math-ph/9909003]
    [5 Total citations in HEP]
  58. 2
    Solution algorithm for the elliptic Calogero-Sutherland model
    By Edwin Langmann (Royal Inst. Tech., Stockholm).
    Published in:Lett.Math.Phys.54:279-289,2000 [arXiv: math-ph/0007036]
    [6 Total citations in HEP]
  59. 2
    Microlocal spectrum condition and Hadamard form for vector valued quantum fields in curved space-time
    By Hanno Sahlmann (Potsdam, Max Planck Inst.), Rainer Verch (Gottingen U.).
    Published in:Rev.Math.Phys.13:1203-1246,2001 [arXiv: math-ph/0008029]
    [17 Total citations in HEP]
  60. 2
    On the multisymplectic origin of the nonAbelian deformation algebra of pseudoholomorphic embeddings into strictly almost Kahler ambient manifolds, and the corresponding BRST algebra
    By S.P. Hrabak (King's Coll. London).
    HEP Record [arXiv: math-ph/9904026]
    [2 Total citations in HEP]
  61. 2
    Summing over the Weyl groups of E(7) and E(8)
    By H.R. Karadayi, M. Gungormez (Istanbul, Tech. U.).
    HEP Record [arXiv: math-ph/9812014]
    [4 Total citations in HEP]
  62. 2
    The Bargmann-Wigner formalism for spin-2
    By Valeri V. Dvoeglazov (Zacatecas U.).
    HEP Record [arXiv: math-ph/9805017]
    [2 Total citations in HEP]
  63. 2
    Fundamental weights, permutation weights and Weyl character formula
    By H.R. Karadayi, M. Gungormez (Istanbul, Tech. U.).
    Published in:J.Phys.A32:1701-1707,1999 [arXiv: math-ph/9806014]
    [4 Total citations in HEP]
  64. 2
    Invariant forms and automorphisms of a class of multisymplectic manifolds
    By L.A. Ibort (Carlos III U., Madrid), A. Echeverria-Enriquez, M.C. Munoz-Lecanda, N. Roman-Roy (Barcelona, Polytechnic U.).
    HEP Record [arXiv: math-ph/9805040]
    [2 Total citations in HEP]
  65. 2
    Quantum field theory for discrepancies
    By Andre van Hameren, Ronald Kleiss (Nijmegen U.).
    Published in:Nucl.Phys.B529:737-762,1998 [arXiv: math-ph/9805008]
    [3 Total citations in HEP]
  66. 2
    Quantum physics as the projective representation theory of Noether symmetries
    By T.A. Larsson.
    HEP Record [arXiv: math-ph/9908028]
    [4 Total citations in HEP]
  67. 2
    Power series everywhere convergent on R and all Q(p)
    By Branko G. Dragovich (Belgrade, Inst. Phys.).
    Published in:J.Math.Phys.34:1143,1993 [arXiv: math-ph/0402037]
    [2 Total citations in HEP]
  68. 2
    BRS cohomology and the Chern character in noncommutative geometry
    By Denis Perrot (Marseille, CPT).
    Published in:Lett.Math.Phys.50:135-144,1999 [arXiv: math-ph/9910044]
    [7 Total citations in HEP]
  69. 2
    A(n) multiplicity rules and Schur functions
    By Hasan R. Karadayi (Istanbul, Tech. U.).
    HEP Record [arXiv: math-ph/9805009]
    [2 Total citations in HEP]