John A. Gracey

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http://www.maths.liv.ac.uk/TheorPhys/people/staff/jgracey/

Articles in Scholarly Journals [Incomplete List]

  1. One loop renormalization of the non-local gauge invariant operator min{U}?d4x(AµaU)2 in QCD
    Physics Letters B, vol. 651, no. 2-3, pp. 253–256, 2007
  2. UV finiteness of 3D Yang-Mills theories with a regulating mass in the Landau gauge
    Physical Review D, vol. 75, no. 6, 2007
  3. Combined study of the gluon and ghost condensates ⟨A_{μ}^{2}⟩ and ⟨ε^{abc}c[over ¯]^{b}c^{c}⟩ in Euclidean SU(2) Yang-Mills theory in the Landau gauge
    Physical Review D, vol. 73, no. 1, 2006
  4. Quantum properties of a non-Abelian gauge invariant action with a mass parameter
    Physical Review D, vol. 74, no. 4, 2006
  5. Renormalization group aspects of the local composite operator method
    Journal of Physics A: Mathematical and General, vol. 39, no. 25, pp. 7889–7899, 2006
  6. Three loop anomalous dimensions of higher moments of the non-singlet twist-2 Wilson and transversity operators in the bar Mbar S and RI' schemes
    Journal of High Energy Physics, vol. 2006, no. 10, pp. 040–040, 2006
  7. Two loop correction to the Gribov mass gap equation in Landau gauge QCD
    Physics Letters B, vol. 632, no. 2-3, pp. 282–286, 2006
  8. Loop calculations with the Gribov-Zwanziger Lagrangian
    Nuclear Physics B - Proceedings Supplements, vol. 160, pp. 122–125, 2006
  9. Three loop MS¯ transversity operator anomalous dimensions for fixed moment n?8n?8
    Physics Letters B, vol. 643, no. 6, pp. 374–378, 2006
  10. Three loop renormalization of QCD in various nonlinear gauges
    Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol. 559, no. 1, pp. 298–300, 2006
  11. Renormalization properties of the mass operator in three-dimensional Yang-Mills theories in the Landau gauge
    Annals of Physics, vol. 317, no. 1, pp. 203–219, 2005
  12. Three loop bar Mbar S renormalization of QCD in the maximal abelian gauge
    Journal of High Energy Physics, vol. 2005, no. 04, pp. 012–012, 2005
  13. Study of the gauge invariant, nonlocal mass operator Tr∫d^{4}xF_{μν}(D^{2})^{-1}F_{μν} in Yang-Mills theories
    Physical Review D, vol. 72, no. 10, 2005
  14. Two loop $\overline{{\rm MS}}$ gluon pole mass from the LCO formalism
    The European Physical Journal C, vol. 39, no. 1, pp. 61–69, 2005
  15. Remarks on a class of renormalizable interpolating gauges
    Journal of High Energy Physics, vol. 2005, no. 07, pp. 059–059, 2005
  16. Erratum: Chiral exponents in O(N)×O(m) spin models at O(1/N^{2})[Phys. Rev. B 66, 134402 (2002)]
    Physical Review B, vol. 70, no. 5, 2004
  17. Analytic study of the off-diagonal mass generation for Yang-Mills theories in the maximal Abelian gauge
    Physical Review D, vol. 70, no. 11, 2004
  18. One loop gluon pole mass from the local composite operator formalism
    Physics Letters B, vol. 597, no. 3-4, pp. 368–373, 2004
  19. Erratum to: “Classification and one loop renormalization of dimension six and eight operators in quantum gluodynamics” [Nucl. Phys. B 634 (2002) 192]
    Nuclear Physics B, vol. 696, no. 1-2, pp. 295–297, 2004
  20. Recent three loop calculations in perturbative QCD
    Nuclear Physics B - Proceedings Supplements, vol. 133, pp. 166–169, 2004
  21. The anomalous dimension of the gluon-ghost mass operator in Yang–Mills theory
    Physics Letters B, vol. 569, no. 1-2, pp. 57–66, 2003
  22. Renormalizability of the local composite operator Aµ2 in linear covariant gauges
    Physics Letters B, vol. 574, no. 3-4, pp. 325–331, 2003
  23. Three loop ? renormalization of the Curci–Ferrari model and the dimension two BRST invariant composite operator in QCD
    Physics Letters B, vol. 552, no. 1-2, pp. 101–110, 2003
  24. Three loop anomalous dimension of non-singlet quark currents in the RI' scheme
    Nuclear Physics B, vol. 662, no. 1-2, pp. 247–278, 2003
  25. Three loop anomalous dimension of the second moment of the transversity operator in the ? and RI' schemes
    Nuclear Physics B, vol. 667, no. 1-2, pp. 242–260, 2003
  26. More on ghost condensation in Yang-Mills theory: BCS versus Overhauser effect and the breakdown of the Nakanishi-Ojima annex SL(2,Bbb R) symmetry
    Journal of High Energy Physics, vol. 2003, no. 06, pp. 003–003, 2003
  27. A determination of ? and the non-perturbative vacuum energy of Yang–Mills theory in the Landau gauge
    Physics Letters B, vol. 562, no. 1-2, pp. 87–96, 2003
  28. Crossover exponent in O(N) f^{4} theory at O(1/N^{2})
    Physical Review E, vol. 66, no. 2, 2002
  29. Classification and one loop renormalization of dimension six and eight operators in quantum gluodynamics
    Nuclear Physics B, vol. 634, no. 1-2, pp. 192–208, 2002
  30. Critical exponents from the large N expansion for the three-dimensional O(3)   model
    Journal of Physics A: Mathematical and General, vol. 35, no. 45, pp. 9701–9701, 2002
  31. Critical exponent ? at O(1/N) in O(N)×O(m) spin models
    Nuclear Physics B, vol. 644, no. 3, pp. 433–450, 2002
  32. Two loop ? renormalization of the Curci–Ferrari model
    Physics Letters B, vol. 525, no. 1-2, pp. 89–94, 2002
  33. Chiral exponents in O(N)×O(m) spin models at O(1/N^{2})
    Physical Review B, vol. 66, no. 13, 2002
  34. Corrigendum to: “Three loop gauge ß-function for the most general single gauge-coupling theory” [Phys. Lett. B 510 (2001) 347–354]
    Physics Letters B, vol. 535, no. 1-4, p. 377, 2002
  35. The Curci?Ferrari model with massive quarks at two loops
    Physics Letters B, vol. 540, no. 1-2, pp. 68–74, 2002
  36. Dynamical mass generation by source inversion: Calculating the mass gap of the chiral Gross-Neveu model
    Physical Review D, vol. 66, no. 2, 2002
  37. Three loop gauge ß-function for the most general single gauge-coupling theory
    Physics Letters B, vol. 510, no. 1-4, pp. 347–354, 2001
  38. Three loop gauge ß-function for the most general single gauge-coupling theory
    Physics Letters B, vol. 512, no. 1-2, pp. 230–238, 2001
  39. Anomalous dimension of non-singlet quark currents at O(1/Nf2) in QCD
    Physics Letters B, vol. 518, no. 1-2, pp. 188–194, 2001
  40. Four loop wave function renormalization in the non-abelian Thirring model
    Nuclear Physics B, vol. 605, no. 1-3, pp. 337–364, 2001
  41. Computation of quark mass anomalous dimension at O(1/Nf2) in quantum chromodynamics
    Nuclear Physics B, vol. 579, no. 1-2, pp. 56–100, 2000
  42. Three loop ? tensor current anomalous dimension in QCD
    Physics Letters B, vol. 488, no. 2, pp. 175–181, 2000
  43. The n?0 limit of ?gg(a) in QCD
    Physics Letters B, vol. 488, no. 3-4, pp. 269–273, 2000
  44. Quark mass anomalous dimension at O(1/Nf2) in QCD
    Physics Letters B, vol. 458, no. 1, pp. 117–126, 1999
  45. Three-loop renormalization of the SU(Nc) non-abelian Thirring model
    Nuclear Physics B, vol. 563, no. 1-2, pp. 390–436, 1999
  46. Journal of Physics A: Mathematical and General, vol. 23, no. 9, pp. L467–L471, 1999
  47. Journal of Physics G: Nuclear and Particle Physics, vol. 25, no. 7, pp. 1547–1548, 1999
  48. Non-zeta knots in the renormalization of the Wess-Zumino model?
    Physics Letters B, vol. 424, no. 1-2, pp. 85–92, 1998
  49. Determination of the anomalous dimension of gluonic operators in deep inelastic scattering at O(1/Nf)
    Nuclear Physics B, vol. 517, no. 1-3, pp. 241–268, 1998
  50. The ß-function of the Wess-Zumino model at O(1/N2)
    Nuclear Physics B, vol. 525, no. 1-2, pp. 435–456, 1998
  51. Anomalous dimension of gluonic operator in polarized deep inelastic scattering at ?
    Physics Letters B, vol. 432, no. 1-2, pp. 209–214, 1998
  52. Computation of perturbative renormalization group functions — the large Nƒ algorithm
    Computer Physics Communications, vol. 115, no. 2-3, pp. 113–123, 1998
  53. Beyond the triangle and uniqueness relations: non-zeta counterterms at large $N$ from positive knots
    Zeitschrift f�r Physik C Particles and Fields, vol. 75, no. 3, pp. 559–574, 1997
  54. Progress with large Nf ß-functions
    Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol. 389, no. 1-2, pp. 361–364, 1997
  55. Anomalous dimensions of operators in polarized deep inelastic scattering at O(1/Nƒ)
    Nuclear Physics B, vol. 480, no. 1-2, pp. 73–98, 1996
  56. QCD and QED renormalization group functions — a large Nf approach
    Nuclear Physics B - Proceedings Supplements, vol. 51, no. 3, pp. 24–29, 1996
  57. The QCD ß-function at O(1/Nf)
    Physics Letters B, vol. 373, no. 1-3, pp. 178–184, 1996
  58. O(1/N3) conformal bootstrap solution of the SU(2) $times; SU(2) Nambu-Jona-Lasinio model
    Physics Letters B, vol. 342, no. 1-4, pp. 297–302, 1995
  59. On the N = 2 supersymmetric ? s model and Chern-Simons terms
    Nuclear Physics B, vol. 454, no. 1-2, pp. 103–126, 1995
  60. Anomalous dimension of non-singlet Wilson operators at O(1/Nf in deep inelastic scattering
    Physics Letters B, vol. 322, no. 1-2, pp. 141–146, 1994
  61. On theO(1/N 2)ß-function of the Nambu-Jona-Lasinio model with non-abelian chiral symmetry
    Zeitschrift für Physik C Particles and Fields, vol. 61, no. 1, pp. 115–124, 1994
  62. Computation of critical exponent ? at O(1/Nf2) in quantum electrodynamics in arbitrary dimensions
    Nuclear Physics B, vol. 414, no. 3, pp. 614–648, 1994
  63. The conformal bootstrap equations for the four fermi interaction in arbitrary dimensions
    Zeitschrift für Physik C Particles and Fields, vol. 59, no. 2, pp. 243–249, 1993
  64. Quark, gluon and ghost anomalous dimensions at O(1/Nƒ) in quantum chromodynamics
    Physics Letters B, vol. 318, no. 1, pp. 177–183, 1993
  65. The exact mass gap of the supersymmetric O(N) s model
    Physics Letters B, vol. 298, no. 1-2, pp. 116–119, 1993
  66. Electron mass anomalous dimension at O(1/N2tf) in quantum electrodynamics
    Physics Letters B, vol. 317, no. 3, pp. 415–420, 1993
  67. The Nambu-Jona-Lasinio model at O (1/N2)
    Physics Letters B, vol. 308, no. 1-2, pp. 65–69, 1993
  68. On the evaluation of massless Feynman diagrams by the method of uniqueness
    Physics Letters B, vol. 277, no. 4, pp. 469–473, 1992
  69. Anomalous mass dimension at O(1/N2) in the O(N) Gross-Neveu model
    Physics Letters B, vol. 297, no. 3-4, pp. 293–297, 1992
  70. Critical exponent ? at O (1/N3) for the supersymmetric O(N) s model
    Physics Letters B, vol. 262, no. 1, pp. 49–53, 1991
  71. Probing the supersymmetric O(N) a-model to O(1/N2): Critical exponent ?
    Nuclear Physics B, vol. 348, no. 3, pp. 737–756, 1991
  72. Probing the supersymmetric O(N) s model to O(1/N2): Critical exponent ?
    Nuclear Physics B, vol. 352, no. 1, pp. 183–213, 1991
  73. Computation of the three-loop ß-function of the O(N) Gross-Neveu model in minimal subtraction
    Nuclear Physics B, vol. 367, no. 3, pp. 657–674, 1991
  74. Three-loop calculations in the O(N) gross-neveu model
    Nuclear Physics B, vol. 341, no. 2, pp. 403–418, 1990
  75. On the ß-function for s models with N = 1 supersymmetry
    Physics Letters B, vol. 246, no. 1-2, pp. 114–118, 1990
  76. Modern Physics Letters A [Particles and Fields; Gravitation; Cosmology and Nuclear Physics], vol. 5, no. 4, p. 243, 1990
  77. Non-perturbative effects in the supersymmetric O(N + 1) sigma model
    Nuclear Physics B, vol. 319, no. 2, pp. 439–473, 1989
  78. Non-perturbative effects in supersymmetric sigma models
    Physics Letters B, vol. 201, no. 2, pp. 251–255, 1988
  79. Non-perturbative effects in the exact S-matrices of the O(N) gross-neveu and supersymmetric s models
    Physics Letters B, vol. 215, no. 3, pp. 505–510, 1988
  80. Anomalous current algebras in the Skyrme model or chiral G×G with Wess-Zumino term
    Physics Letters B, vol. 194, no. 3, pp. 415–419, 1987
  81. Exact supersymmetric S-matrices and central charges
    Nuclear Physics B, vol. 288, pp. 475–499, 1987
  82. On topological central charges and solitons
    Physics Letters B, vol. 185, no. 1-2, pp. 104–106, 1987