The infrared behavior of the gluon and ghost propagators in SU(2) Yang-Mills theory in the maximal Abelian gauge

Brazilian Journal of Physics

Volumn 37, Issue 2 B, 2007, Pages 591-596

  Capria, M A L ^a   Dudal, D ^b   Gracey, J A ^c   Lemes, V E R ^c   Sobreiro, R F ^a   Sorella, S P ^a   Thibes, R ^a   Verschelde, H ^a  

^a STATE UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b GHENT UNIVERSITY   (Belgium)

^c UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

Condensates; Faddeev Popov operator; Gribov Zwanziger scenario; Maximal Abelian gauge; Propagators; Yang Mills gauge theory

Indexed keywords

EID: 34548274905     PISSN: 01039733     EISSN: None     Source Type: Journal    
DOI: 10.1590/s0103-97332007000400019     Document Type: Conference Paper

References (32)

1. D. J. Gross and F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973).
2. H. D. Politzer, Phys. Rev. Lett. 30, 1346 (1973).
3. V. N. Gribov, Nucl. Phys. B 139, 1 (1978).
4. M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B 147, 519 (1979).
5. F. V. Gubarev, L. Stodolsky, and V. I. Zakharov, Phys. Rev. Lett. 86, 2220 (2001).
6. D. Dudal, H. Verschelde, J. A. Gracey, V. E. R. Lemes, M. S. Sarandy, R. F. Sobreiro, and S. P. Sorella, JHEP 0401, 044 (2004).
7. T. Schafer and E. V. Shuryak, Rev. Mod. Phys. 70, 323 (1998).
8. A. Maas, hep-th/0511307.
9. G. 't Hooft, High Energy Physics EPS Int. Conference, Palermo 1975, ed. A. Zichichi.
10. Y. Nambu, Phys. Rev. D 10, 4262 (1974).
11. S. Mandelstam, Phys. Rept. 23, 245 (1976).
12. G. 't Hooft, Nucl. Phys. B 190, 455 (1981).
13. A. S. Kronfeld, M. L. Laursen, G. Schierholz, and U. J. Wiese, Phys. Lett. B 198, 516 (1987).
14. A. S. Kronfeld, G. Schierholz, and U. J. Wiese, Nucl. Phys. B 293, 461 (1987).
15. K. Amemiya and H. Suganuma, Phys. Rev. D 60, 114509 (1999).
16. V. G. Bornyakov, M. N. Chernodub, F. V. Gubarev, S. M. Morozov, and M. I. Polikarpov, Phys. Lett. B 559, 214 (2003).
17. H. Min, T. Lee, and P. Y. Pac, Phys. Rev. D 32, 440 (1985).
18. A. R. Fazio, V. E. R. Lemes, M. S. Sarandy, and S. P. Sorella, Phys. Rev. D 64, 085003 (2001).
19. D. Dudal, J. A. Gracey, V. E. R. Lemes, M. S. Sarandy, R. F. Sobreiro, S. P. Sorella, and H. Verschelde, Phys. Rev. D 70, 114038 (2004).
20. Z. F. Ezawa and A. Iwazaki, Phys. Rev. D 25, 2681 (1982).
21. T. Suzuki and I. Yotsuyanagi, Phys. Rev. D 42, 4257 (1990).
22. S. Hioki, S. Kitahara, S. Kiura, Y. Matsubara, O. Miyamura, S. Ohno, and T. Suzuki, Phys. Lett. B 272, 326 (1991) [Erratum-ibid. B 281, 416 (1992)].
23. O. Piguet and S. P. Sorella, Lect. Notes Phys. M28, 1 (1995).
24. C. Lerche and L. von Smekal, Phys. Rev. D 65, 125006 (2002).
25. J. C. R. Bloch, A. Cucchieri, K. Langfeld, and T. Mendes, Nucl. Phys. B 687, 76 (2004).
26. C. S. Fischer and D. Zwanziger, Phys. Rev. D 72, 054005 (2005).
27. J. A. Gracey, JHEP 0504, 012 (2005).
28. M. A. L. Capri, V. E. R. Lemes, R. F. Sobreiro, S. P. Sorella, and R. Thibes, Phys. Rev. D 72, 085021 (2005).
29. M. Quandt and H. Reinhardt, Int. J. Mod. Phys. A 13, 4049 (1998).
30. F. Bruckmann, T. Heinzl, A. Wipf, and T. Tok, Nucl. Phys. B 584, 589 (2000).
31. R. F. Sobreiro, S. P. Sorella, D. Dudal, and H. Verschelde, Phys. Lett. B 590, 265 (2004).
32. a has to used. At the end, one can consider the limit α → 0. We refer to [19] for more details.