A dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations

Journal of High Energy Physics

Volumn 8, Issue 8, 2004, Pages 1529-1547

  Aguilar, Arlene Cristina ^a   Natale, Adriano Antonio ^a  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

Author keywords

Nonperturbative Effects; QCD

Indexed keywords

EID: 22144486952     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/08/057     Document Type: Review

References (43)

1. P. Marenzoni, G. Martinelli, N. Stella and M. Testa, High statistics study of the gluon propagator in the Landau gauge at β= 6.0, Phys. Lett. B 318 (1993) 511;
2. C. Alexandrou, P. de Forcrand and E. Follana, The gluon propagator without lattice gribov copies on a finer lattice, Phys. Rev. D 65 (2002) 114508 [hep-lat/0112043];
3. c), Phys. Rev. D 65 (2002) 117502 [hep-lat/0203006];
4. F.D.R. Bonnet, P.O. Bowman, D.B. Leinweber, A.G. Williams and J.M. Zanotti, Infinite volume and continuum limits of the Landau-gauge gluon propagator, Phys. Rev. D 64 (2001) 034501 [hep-lat/0101013];
5. F.D.R. Bonnet, P.O. Bowman, D.B. Leinweber and A.G. Williams, Infrared behavior of the gluon propagator on a large volume lattice, Phys. Rev. D 62 (2000) 051501 [hep-lat/0002020];
6. UKQCD collaboration, D.B. Leinweber, J.I. Skullerud, A.G. Williams and C. Parrinello, Gluon propagator in the infrared region, Phys. Rev. D 58 (1998) 031501 [hep-lat/9803015];
7. C.W. Bernard, C. Parrinello and A. Soni, A lattice study of the gluon propagator in momentum space, Phys. Rev. D 49 (1994) 1585 [hep-lat/9307001];
8. P.O. Bowman, U.M. Heller, D.B. Leinweber, M.B. Parappilly and A.G. Williams, Unquenched gluon propagator in Landau gauge, Phys. Rev. D 70 (2004) 034509 [hep-lat/0402032], and the references therein.
9. A recent study about the freezing of the coupling constant in a SU(2) gauge theory with references to QCD simulations can be found in J.C.R. Bloch, A. Cucchieri, K. Langfeld and T. Mendes, Propagators and running coupling from SU(2) lattice gauge theory, Nucl. Phys. B 687 (2004) 76 [hep-lat/0312036];
10. J.C.R. Bloch, A. Cucchieri, K. Langfeld and T. Mendes, Running coupling constant and propagators in SU(2) Landau gauge, Nucl. Phys. 119 (Proc. Suppl.) (2003) 736 [hep-lat/0209040].
11. J.M. Cornwall, Dynamical mass generation in continuum QCD, Phys. Rev. D 26 (1982) 1453;
12. J.M. Cornwall and J. Papavassiliou, Gauge invariant three gluon vertex in QCD, Phys. Rev. D 40 (1989) 3474;
13. J. Papavassiliou and J.M. Cornwall, Coupled fermion gap and vertex equations for chiral symmetry breakdown in QCD, Phys. Rev. D 44 (1991) 1285.
14. R. Alkofer and L. von Smekal, The infrared behavior of QCD green's functions: confinement, dynamical symmetry breaking and hadrons as relativistic bound states, Phys. Rept. 353 (2001) 281 [hep-ph/0007355];
15. L. von Smekal, A. Hauck and R. Alkofer, A solution to coupled Dyson-Schwinger equations for gluons and ghosts in Landau gauge, Ann. Phys. (NY) 267 (1998) 1 [hep-ph/9707327], erratum ibid. 269 (1998) 182;
16. A. Hauck, L. von Smekal and R. Alkofer, Solving a coupled set of truncated QCD Dyson-Schwinger equations, Comput. Phys. Commun. 112 (1998) 166;
17. 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].
18. K.-I. Kondo, Implications of analyticity to mass gap, color confinement and infrared fixed point in Yang-Mills theory, hep-th/0303251.
19. s(0) value, Phys. Rev. Lett. 79 (1997) 1209 [hep-ph/9704333];
20. D.V. Shirkov, Analytic perturbation theory in analyzing some QCD observables, Eur. Phys. J. C 22 (2001) 331 [hep-ph/0107282];
21. On the QCD coupling behavior in the infrared region, Theor. Math. Phys. 132 (2002) 1309 [hep-ph/0208082];
22. V.N. Gribov, Quantization of non-abelian gauge theories, Nucl. Phys. B 139 (1978) 1;
23. See also the interesting review by Y.L. Dokshitzer and D.E. Kharzeev, The gribov conception of quantum chromodynamics, hep-ph/0404216, where the Gribov's results about infrared finite gluon propagator and coupling constant are revisited.
24. 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].
25. F. Halzen, G.I. Krein and A.A. Natale, Relating the QCD pomeron to an effective gluon mass, Phys. Rev. D 47 (1993) 295;
26. M.B. Gay Ducati, F. Halzen and A.A. Natale, Diffraction and the gluon mass, Phys. Rev. D 48 (1993) 2324 [hep-ph/9304276];
27. A. Mihara and A.A. Natale, Dynamical gluon mass corrections in heavy quarkonia decays, Phys. Lett. B 482 (2000) 378 [hep-ph/0004236];
28. A.C. Aguilar, A. Mihara and A.A. Natale, Phenomenological tests for the freezing of the QCD running coupling constant, Int. J. Mod. Phys. 19 (2004) 249.
29. -) 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. s), hep-ph/9812252;
32. S.J. Brodsky, New perspectives for QCD: the novel effects of final-state interactions and near-conformal effective couplings, hep-ph/0310289;
33. 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].
34. D.C. Curtis and M.R. Pennington, Truncating the Schwinger-Dyson equations: how multiplicative renormalizability and the ward identity restrict the three point vertex in QED, Phys. Rev. D 42 (1990) 4165.
35. See J.C.R. Bloch, Two loop improved truncation of the ghost gluon Dyson-Schwinger equations: multiplicatively renormalizable propagators and nonperturbative running coupling, Few. Body Syst. 33 (2003) 111 [hep-ph/0303125], and references therein.
36. A.C. Aguilar and A.A. Natale, A dynamical gluon mass solution in mandelstam's approximation, hep-ph/0405024.
37. S. Mandelstam, Approximation scheme for QCD, Phys. Rev. D 20 (1979) 3223;
38. N. Brown and M.R. Pennington, Studies of confinement: how quarks and gluons propagate, Phys. Rev. D 38 (1988) 2266;
39. Studies of confinement: how the gluon propagates, Phys. Rev. D 39 (1989) 2723.
40. D. Atkinson and J. C. R. Bloch, QCD in the infrared with exact angular integrations, Mod. Phys. Lett. A 13 (1998) 1055 [hep-ph/9802239].
41. J.C. Taylor, Ward identities and charge renormalization of the yang- mills field, Nucl. Phys. B 33 (1971) 436.
42. s in momentum scheme, J. High Energy Phys. 10 (1998) 17;
43. s from green functions: progress report, Nucl. Phys. 106 (Proc. Suppl.) (2002) 266 [hep-ph/0110171].