Top Cited Articles of All Time (2002 edition) in math-ph

Top Cited Articles of All Time (2002 edition) in math-ph

The 50 most highly cited papers of All Time (2002 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 Fri 16-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. 80
    New features of FORM
    By J.A.M. Vermaseren (NIKHEF, Amsterdam).
    HEP Record [arXiv: math-ph/0010025]
    [354 Total citations in HEP]
  2. 44
    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]
    [75 Total citations in HEP]
  3. 32
    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]
    [54 Total citations in HEP]
  4. 18
    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]
  5. 15
    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]
  6. 14
    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]
  7. 14
    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]
  8. 14
    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]
  9. 14
    PseudoHermiticity versus PT symmetry 2. A Complete characterization of nonHermitian Hamiltonians with a real spectrum
    By Ali Mostafazadeh (Koc U.).
    Published in:J.Math.Phys.43:2814-2816,2002 [arXiv: math-ph/0110016]
    [60 Total citations in HEP]
  10. 13
    Conjecture on the interlacing of zeros in complex Sturm-Liouville problems
    By Carl M. Bender (Washington U., St. Louis), Stefan Boettcher (Emory U.), Van M. Savage (Washington U., St. Louis).
    Published in:J.Math.Phys.41:6381,2000 [arXiv: math-ph/0005012]
    [18 Total citations in HEP]
  11. 13
    Conservation of pseudo-norm in PT symmetric quantum mechanics
    By M. Znojil (Rez, Nucl. Phys. Inst.).
    HEP Record [arXiv: math-ph/0104012]
    [29 Total citations in HEP]
  12. 13
    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]
  13. 12
    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]
    [29 Total citations in HEP]
  14. 12
    PseudoHermiticity versus PT symmetry 3: Equivalence of pseudoHermiticity and the presence of antilinear symmetries
    By Ali Mostafazadeh (Koc U.).
    Published in:J.Math.Phys.43:3944-3951,2002 [arXiv: math-ph/0203005]
    [51 Total citations in HEP]
  15. 12
    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]
  16. 11
    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]
  17. 11
    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]
  18. 11
    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]
  19. 11
    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]
  20. 10
    Symbolic expansion of transcendental functions
    By Stefan Weinzierl (Parma U. & INFN, Parma).
    Published in:Comput.Phys.Commun.145:357-370,2002 [arXiv: math-ph/0201011]
    [39 Total citations in HEP]
  21. 10
    Negative moments of characteristic polynomials of random matrices: Ingham-Siegel integral as an alternative to Hubbard-Stratonovich transformation
    By Yan V. Fyodorov (Brunel U.).
    Published in:Nucl.Phys.B621:643-674,2002 [arXiv: math-ph/0106006]
    [21 Total citations in HEP]
  22. 10
    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]
  23. 10
    Homogeneous HKT and QKT manifolds
    By A. Opfermann, G. Papadopoulos (Cambridge U., DAMTP).
    HEP Record [arXiv: math-ph/9807026]
    [13 Total citations in HEP]
  24. 10
    Pseudosupersymmetric quantum mechanics and isospectral pseudoHermitian Hamiltonians
    By Ali Mostafazadeh (Koc U.).
    Published in:Nucl.Phys.B640:419-434,2002 [arXiv: math-ph/0203041]
    [47 Total citations in HEP]
  25. 9
    Invariance properties of induced Fock measures for U(1) holonomies
    By J.M. Velhinho (Beira Interior U., Covilha).
    Published in:Commun.Math.Phys.227:541-550,2002 [arXiv: math-ph/0107002]
    [13 Total citations in HEP]
  26. 9
    NonHermitian Hamiltonians with real and complex eigenvalues in a Lie algebraic framework
    By B. Bagchi (Calcutta U.), C. Quesne (Brussels U.).
    Published in:Phys.Lett.A300:18-26,2002 [arXiv: math-ph/0205002]
    [31 Total citations in HEP]
  27. 9
    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]
  28. 9
    Quantum geometry in action: Big bang and black holes
    By Abhay Ashtekar (Penn State U.).
    HEP Record [arXiv: math-ph/0202008]
    [20 Total citations in HEP]
  29. 9
    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]
  30. 8
    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]
  31. 8
    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]
  32. 8
    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]
  33. 8
    Noncommutative geometry and fundamental interactions
    By Thomas Krajewski (Provence U.).
    HEP Record [arXiv: math-ph/9903047]
    [10 Total citations in HEP]
  34. 8
    Pseudo-Hermiticity versus PT symmetry: The Structure responsible for the reality of the spectrum of a nonHermitian Hamiltonian
    By Ali Mostafazadeh (Koc U.).
    HEP Record [arXiv: math-ph/0107001]
    [19 Total citations in HEP]
  35. 8
    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]
  36. 8
    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]
  37. 8
    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]
  38. 8
    Algebraic quantum field theory: A Status report
    By Detlev Buchholz (Gottingen U.).
    HEP Record [arXiv: math-ph/0011044]
    [13 Total citations in HEP]
  39. 7
    Finite dimensional Hamiltonian formalism for gauge and field theories
    By Frederic Helein (Cachan, Ecole Normale Superieure), Joseph Kouneiher (Paris U., VI-VII & Saclay).
    Published in:J.Math.Phys.43:2306-2347,2002 [arXiv: math-ph/0010036]
    [15 Total citations in HEP]
  40. 7
    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]
  41. 7
    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]
  42. 7
    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]
  43. 7
    On blowup for Yang-Mills fields
    By P. Bizon (Potsdam, Max Planck Inst. & Jagiellonian U.), Z. Tabor (Jagiellonian U.).
    Published in:Phys.Rev.D64:121701,2001 [arXiv: math-ph/0105016]
    [12 Total citations in HEP]
  44. 7
    Heat asymptotics with spectral boundary conditions. 2.
    By Peter B. Gilkey (Oregon U.), K. Kirsten (Manchester U.).
    Published in:Proc.Roy.Soc.Edinburgh A133:333-361,2003 [arXiv: math-ph/0007015]
    [10 Total citations in HEP]
  45. 6
    SU(N) tensor product multiplicities and virtual Berenstein-Zelevinsky triangles
    By Jorgen Rasmussen, Mark A. Walton (Lethbridge U.).
    Published in:J.Phys.A34:11095-11105,2001 [arXiv: math-ph/0010051]
    [7 Total citations in HEP]
  46. 6
    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]
  47. 6
    An Exact formula for general spectral correlation function of random Hermitian matrices
    By Yan V Fyodorov, Eugene Strahov (Brunel U.).
    Published in:J.Phys.A36:3203-3214,2003 [arXiv: math-ph/0204051]
    [18 Total citations in HEP]
  48. 6
    A Poisson bracket on multisymplectic phase space
    By Michael Forger (Sao Paulo U.), Hartmann Romer (Freiburg U.).
    Published in:Rept.Math.Phys.48:211-218,2001 [arXiv: math-ph/0009037]
    [9 Total citations in HEP]
  49. 6
    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]
  50. 6
    On noncommutative and semiRiemannian geometry
    By Alexander Strohmaier (Leipzig U.).
    Published in:J.Geom.Phys.56:175-195,2006 [arXiv: math-ph/0110001]
    [14 Total citations in HEP]
  51. 6
    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]
  52. 6
    Fundamental automorphisms of Clifford algebras and an extension of Dabrowski pin groups
    By Vadim V. Varlamov (Siberia St. U. Industry).
    Published in:Hadronic J.22:497-533,1999 [arXiv: math-ph/9904038]
    [8 Total citations in HEP]