QCD effective charges from lattice data

Journal of High Energy Physics

Volumn 2010, Issue 7, 2010, Pages

  Aguilar, A C ^a   Binosi, D ^b   Papavassiliou, J ^c  

^a UNIVERSIDADE FEDERAL DO ABC   (Brazil)

^b ECT   (Italy)

^c UNIVERSITY OF VALENCIA   (Spain)

Author keywords

Nonperturbative Effects; QCD

Indexed keywords

EID: 77955005088     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP07(2010)002     Document Type: Article

References (88)

1. A. Cucchieri and T. Mendes, What's up with IR gluon and ghost propagators in Landau gauge? A puzzling answer from huge lattices, PoS (LATTICE 2007) 297 [arXiv:0710.0412]
2. A. Cucchieri and T. Mendes, Landau-gauge propagators in Yang-Mills theories at β = 0: massive solution versus conformal scaling, Phys. Rev. D 81 (2010) 016005 [arXiv:0904.4033]
3. I. L. Bogolubsky, E. M. Ilgenfritz, M. Muller-Preussker and A. Sternbeck, The Landau gauge gluon and ghost propagators in 4D SU (3) gluodynamics in large lattice volumes, PoS (LATTICE 2007) 290 [arXiv:0710.1968]
4. I. L. Bogolubsky, E. M. Ilgenfritz, M. Muller-Preussker and A. Sternbeck, Lattice gluodynamics computation of Landau gauge Green's functions in the deep infrared, Phys. Lett. B 676 (2009) 69 [arXiv:0901.0736]
5. O. Oliveira and P. J. Silva, The lattice infrared Landau gauge gluon propagator: the infinite volume limit, arXiv:0910.2897
6. O. Oliveira and P. J. Silva, The lattice infrared Landau gauge gluon propagator: from finite volume to the infinite volume, arXiv:0911.1643
7. J. M. Cornwall, Dynamical Mass Generation in Continuum QCD, Phys. Rev. D 26 (1982) 1453
8. J. M. Cornwall and J. Papavassiliou, Gauge Invariant Three Gluon Vertex in QCD, Phys. Rev. D 40 (1989) 3474
9. D. Binosi and J. Papavassiliou, Pinch Technique: Theory and Applications, Phys. Rept. 479 (2009) 1 [arXiv:0909.2536]
10. N. J. Watson, The gauge-independent QCD effective charge, Nucl. Phys. B 494 (1997) 388 [hep-ph/9606381]
11. D. Binosi and J. Papavassiliou, The QCD effective charge to all orders, Nucl. Phys. Proc. Suppl. 121 (2003) 281 [hep-ph/0209016]
12. A. Pilaftsis, Generalized pinch technique and the background field method in general gauges, Nucl. Phys. B 487 (1997) 467 [hep-ph/9607451]
13. A. Denner, G. Weiglein and S. Dittmaier, Gauge invariance of green functions: Background field method versus pinch technique, Phys. Lett. B 333 (1994) 420 [hep-ph/9406204]
14. S. Hashimoto, J. Kodaira, Y. Yasui and K. Sasaki, The Background field method: Alternative way of deriving the pinch technique's results, Phys. Rev. D 50 (1994) 7066 [hep-ph/9406271]
15. J. Papavassiliou, On the connection between the pinch technique and the background field method, Phys. Rev. D 51 (1995) 856 [hep-ph/9410385]
16. D. Binosi and J. Papavassiliou, The pinch technique to all orders, Phys. Rev. D 66 (2002) 111901 [hep-ph/0208189]
17. D. Binosi and J. Papavassiliou, Pinch technique self-energies and vertices to all orders in perturbation theory, J. Phys. G 30 (2004) 203 [hep-ph/0301096]
18. L. F. Abbott, The Background Field Method Beyond One Loop, Nucl. Phys. B 185 (1981) 189
19. J. C. Taylor, Ward Identities and Charge Renormalization of the Yang-Mills Field, Nucl. Phys. B 33 (1971) 436
20. W. J. Marciano and H. Pagels, Quantum Chromodynamics: A Review, Phys. Rept. 36 (1978) 137
21. R. Alkofer, C. S. Fischer and F. J. Llanes-Estrada, Vertex functions and infrared fixed point in Landau gauge SU (N) Yang-Mills theory, Phys. Lett. B 611 (2005) 279
22. [Erratum ibid. 670 (2009) 460] [hep-th/0412330]
23. P. A. Grassi, T. Hurth and M. Steinhauser, Practical algebraic renormalization, Annals Phys. 288 (2001) 197 [hep-ph/9907426]
24. D. Binosi and J. Papavassiliou, Pinch technique and the Batalin-Vilkovisky formalism, Phys. Rev. D 66 (2002) 025024 [hep-ph/0204128]
25. D. Binosi and J. Papavassiliou, Gauge-invariant truncation scheme for the Schwinger-Dyson equations of QCD, Phys. Rev. D 77 (2008) 061702 [arXiv:0712.2707]
26. D. Binosi and J. Papavassiliou, New Schwinger-Dyson equations for non-Abelian gauge theories, JHEP 11 (2008) 063 [arXiv:0805.3994]
27. T. Kugo and I. Ojima, Local Covariant Operator Formalism of Nonabelian Gauge Theories and Quark Confinement Problem, Prog. Theor. Phys. Suppl. 66 (1979) 1
28. A. C. Aguilar, D. Binosi, J. Papavassiliou and J. Rodriguez-Quintero, Non-perturbative comparison of QCD effective charges, Phys. Rev. D 80 (2009) 085018 [arXiv:0906.2633]
29. A. C. Mattingly and P. M. Stevenson, Optimization of R (e+ e-) and 'freezing' of the QCD couplant at low-energies, Phys. Rev. D 49 (1994) 437 [hep-ph/9307266]
30. Y. L. Dokshitzer, G. Marchesini and B. R. Webber, Dispersive Approach to Power-Behaved Contributions in QCD Hard Processes, Nucl. Phys. B 469 (1996) 93 [hep-ph/9512336]
31. L. von Smekal, R. Alkofer and A. Hauck, The infrared behavior of gluon and ghost propagators in Landau gauge QCD, Phys. Rev. Lett. 79 (1997) 3591 [hep-ph/9705242]
32. s (1 GeV) from the charmonium fine structure, Phys. Rev. D 60 (1999) 116008 [hep-ph/9901430]
33. A. C. Aguilar, A. A. Natale and P. S. Rodrigues da Silva, Relating a gluon mass scale to an infrared fixed point in pure gauge QCD, Phys. Rev. Lett. 90 (2003) 152001 [hep-ph/0212105]
34. τ (s) at Low Scales, Phys. Rev. D 67 (2003) 055008 [hep-ph/0212078]
35. S. J. Brodsky, New perspectives for QCD: The novel effects of final-state interactions and near-conformal effective couplings, Fizika B 13 (2004) 91 [hep-ph/0310289]
36. M. Baldicchi and G. M. Prosperi, Infrared behavior of the running coupling constant and bound states in QCD, Phys. Rev. D 66 (2002) 074008 [hep-ph/0202172]
37. G. Grunberg, Renormalization Scheme Independent QCD and QED: The Method of Effective Charges, Phys. Rev. D 29 (1984) 2315
38. G. Grunberg, Evidence for infrared finite coupling in Sudakov resummation, Phys. Rev. D 73 (2006) 091901 [hep-ph/0603135]
39. H. Gies, Running coupling in Yang-Mills theory: A flow equation study, Phys. Rev. D 66 (2002) 025006 [hep-th/0202207]
40. s (0) value, Phys. Rev. Lett. 79 (1997) 1209 [hep-ph/9704333]
41. s in the Gribov-Zwanziger QCD Lagrangian, JHEP 05 (2006) 052
42. [Erratum ibid. 1002 (2010) 078] [hep-ph/0605077]
43. G. M. Prosperi, M. Raciti and C. Simolo, On the running coupling constant in QCD, Prog. Part. Nucl. Phys. 58 (2007) 387 [hep-ph/0607209]
44. S. J. Brodsky and G. F. de Teramond, Light-front hadron dynamics and AdS/CFT correspondence, Phys. Lett. B 582 (2004) 211 [hep-th/0310227]
45. S. J. Brodsky, G. F. de Teramond and A. Deur, Nonperturbative QCD Coupling and its β function from Light-Front Holography, Phys. Rev. D 81 (2010) 096010 [arXiv: 1002. 3948]
46. A. C. Aguilar, D. Binosi and J. Papavassiliou, Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations, Phys. Rev. D 78 (2008) 025010 [arXiv:0802.1870]
47. 2, Phys. Rev. Lett. 86 (2001) 2220 [hep-ph/0010057]
48. 2 > condensate, Phys. Rev. D 63 (2001) 114003 [hep-ph/0101302]
49. min >, Phys. Lett. B 501 (2001) 28 [hep-ph/0010096]
50. 2 in QCD, Phys. Lett. B 651 (2007) 253 [arXiv:0706.1440]
51. M. Lavelle, Gauge invariant effective gluon mass from the operator product expansion, Phys. Rev. D 44 (1991) 26
52. A. C. Aguilar and J. Papavassiliou, Power-law running of the effective gluon mass, Eur. Phys. J. A 35 (2008) 189 [arXiv:0708.4320]
53. D. Dudal, J. A. Gracey, S. P. Sorella, N. Vandersickel and H. Verschelde, A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results, Phys. Rev. D 78 (2008) 065047 [arXiv: 0806.4348]
54. C. W. Bernard, Monte Carlo Evaluation of the Effective Gluon Mass, Phys. Lett. B 108 (1982) 431
55. C. W. Bernard, Adjoint Wilson lines and the effective gluon mass, Nucl. Phys. B 219 (1983) 341
56. T. Iritani, H. Suganuma and H. Iida, Gluon-propagator functional form in the Landau gauge in SU (3) lattice QCD: Yukawa-type gluon propagator and anomalous gluon spectral function, Phys. Rev. D 80 (2009) 114505 [arXiv:0908.1311]
57. G. Parisi and R. Petronzio, On Low-Energy Tests of QCD, Phys. Lett. B 94 (1980) 51
58. F. Halzen, G. I. Krein and A. A. Natale, Relating the QCD Pomeron to an effective gluon mass, Phys. Rev. D 47 (1993) 295
59. F. J. Yndurain, Limits on the mass of the gluon, Phys. Lett. B 345 (1995) 524
60. A. Szczepaniak, E. S. Swanson, C.-R. Ji and S. R. Cotanch, Glueball Spectroscopy in a Relativistic Many-Body Approach to Hadron Structure, Phys. Rev. Lett. 76 (1996) 2011 [hep-ph/9511422]
61. J. H. Field, A phenomenological analysis of gluon mass effects in inclusive radiative decays of the J/ψ and Upsilon, Phys. Rev. D 66 (2002) 013013 [hep-ph/0101158]
62. A. C. Aguilar, A. Mihara and A. A. Natale, Freezing of the QCD coupling constant and solutions of Schwinger-Dyson equations, Phys. Rev. D 65 (2002) 054011 [hep-ph/0109223]
63. E. G. S. Luna, A. F. Martini, M. J. Menon, A. Mihara and A. A. Natale, Influence of a dynamical gluon mass in the p p and p̄p forward scattering, Phys. Rev. D72 (2005) 034019 [hep-ph/0507057]
64. E. G. S. Luna, Survival probability of large rapidity gaps in a QCD model with a dynamical infrared mass scale, Phys. Lett. B 641 (2006) 171 [hep-ph/0608091]
65. O. Oliveira and P. Bicudo, Running Gluon Mass from Landau Gauge Lattice QCD Propagator, arXiv: 1002.4151
66. 2 > in the Landau gauge, Phys. Rev. D 81 (2010) 074505 [arXiv: 1002.2374]
67. J. S. Ball and T.-W. Chiu, Analytic properties of the vertex function in gauge theories. 2, Phys. Rev. D 22 (1980) 2550
68. [Erratum ibid. D 23 (1981) 3085].
69. T. Kugo, The universal renormalization factors Z (1)/Z (3) and color confinement condition in non-Abelian gauge theory, hep-th/9511033
70. P. A. Grassi, T. Hurth and A. Quadri, On the Landau background gauge fixing and the IR properties of YM Green functions, Phys. Rev. D 70 (2004) 105014 [hep-th/0405104]
71. K.-I. Kondo, Kugo-Ojima color confinement criterion and Gribov-Zwanziger horizon condition, Phys. Lett. B 678 (2009) 322 [arXiv: 0904.4897]
72. H. Nakajima and S. Furui, Test of the Kugo-Ojima confinement criterion in the lattice Landau gauge, Nucl. Phys. Proc. Suppl. 83 (2000) 521 [hep-lat/9909008]
73. H. Nakajima and S. Furui, Numerical study of lattice Landau gauge QCD and the Gribov copy problem, Nucl. Phys. Proc. Suppl. 141 (2005) 34 [hep-lat/0408001]
74. S. Furui and H. Nakajima, Infrared features of unquenched finite temperature lattice Landau gauge QCD, Phys. Rev. D 76 (2007) 054509 [hep-lat/0612009]
75. A. Sternbeck, The infrared behavior of lattice QCD Green's functions, hep-lat/0609016
76. A. C. Aguilar, D. Binosi and J. Papavassiliou, Indirect determination of the Kugo-Ojima function from lattice data, JHEP 11 (2009) 066 [arXiv: 0907. 0153]
77. A. Cucchieri, T. Mendes and A. Mihara, Numerical study of the ghost-gluon vertex in Landau gauge, JHEP 12 (2004) 012 [hep-lat/0408034]
78. E. M. Ilgenfritz, M. Muller-Preussker, A. Sternbeck and A. Schiller, Gauge-variant propagators and the running coupling from lattice QCD, hep-lat/0601027
79. v, Phys. Rev. D 74 (2006) 034505 [hep-lat/0504017]
80. M̄s, Phys. Rev. D 79 (2009) 014508 [arXiv:0811.2059]
81. P. Boucaud et al., Gribov's horizon and the ghost dressing function, Phys. Rev. D 80 (2009) 094501 [arXiv:0909.2615]
82. J. M. Cornwall, Positivity issues for the pinch-technique gluon propagator and their resolution, Phys. Rev. D 80 (2009) 096001 [arXiv: 0904. 3758]
83. G. Weiglein, Gauge dependence of Green functions and algebraic calculation of general two loop selfenergies, Diploma Thesis, University of Würzburg (1994).
84. G. Degrassi and A. Sirlin, Gauge invariant selfenergies and vertex parts of the Standard Model in the pinch technique framework, Phys. Rev. D 46 (1992) 3104
85. J. Papavassiliou, Gauge independent transverse and longitudinal self energies and vertices via the pinch technique, Phys. Rev. D 50 (1994) 5958 [hep-ph/9406258]
86. A. Cucchieri, T. Mendes and E. M. S. Santos, Covariant gauge on the lattice: a new implementation, Phys. Rev. Lett. 103 (2009) 141602 [arXiv: 0907.4138]
87. R. F. Dashen and D. J. Gross, The Relationship Between Lattice and Continuum Definitions of the Gauge Theory Coupling, Phys. Rev. D 23 (1981) 2340
88. A. C. Aguilar and J. Papavassiliou, Infrared finite ghost propagator in the Feynman gauge, Phys. Rev. D 77 (2008) 125022 [arXiv:0712.0780]