Abelian projection on the torus for general gauge groups

Nuclear Physics B

Volumn 548, Issue 1-3, 1999, Pages 585-612

  Ford, C ^a   Tok, T ^a   Wipf, A ^a  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

Abelian projection; Gauge field theory at finite temperature; Gauge fixing; Instanton number; Magnetic monopoles

Indexed keywords

EID: 0033599933     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(99)00146-7     Document Type: Article

References (46)

1. G. 't Hooft, Nucl. Phys. B 153 (1979) 141; Acta Phys. Austria CA Suppl. XXII (1980) 1063; Phys. Scr. 24 (1981) 841.
2. G. 't Hooft, Nucl. Phys. B 153 (1979) 141; Acta Phys. Austria CA Suppl. XXII (1980) 1063; Phys. Scr. 24 (1981) 841.
3. G. 't Hooft, Nucl. Phys. B 153 (1979) 141; Acta Phys. Austria CA Suppl. XXII (1980) 1063; Phys. Scr. 24 (1981) 841.
4. M. Lüscher, Phys. Lett. B 118 (1982) 391.
5. K.G. Wilson, Phys. Rev. D 10 (1974) 2445.
6. A.M. Polyakov, Phys. Lett. B 72 (1978) 477; L. Susskind, Phys. Rev. D 20 (1979) 2610.
7. A.M. Polyakov, Phys. Lett. B 72 (1978) 477; L. Susskind, Phys. Rev. D 20 (1979) 2610.
8. C. Ford, U.G. Mitreuter, T. Tok, A. Wipf and J.M. Pawlowski, Ann. Phys. 269 (1998) 26.
9. U.G. Mitreuter, J.M. Pawlowski and A. Wipf, Nucl. Phys. B 514 (1998) 381.
10. G. 't Hooft, Nucl. Phys. B 190 (1981) 455.
11. A.S. Kronfeld, G. Schierholz and U.J. Wiese, Nucl. Phys. B 293 (1987) 461.
12. P.A.M. Dirac, Proc. Roy. Soc. A 133 (1931) 60.
13. N. Christ and R. Jackiw, Phys. Lett. B 91 (1980) 228.
14. D.J. Gross, R.D. Pisarski and L.G. Yaffe, Rev. Mod. Phys. 53 (1981) 43.
15. H. Reinhardt, Nucl. Phys. B 503 (1997) 505.
16. M.N. Chernodub and F.V. Gubarev, JETP Lett. 62 (1995) 100; H. Suganuma, A. Tanaka, S. Sasaki and O. Miyamura, Nucl. Phys. Proc. Suppl. 47 (1996) 302; A. Hart and M. Teper, Phys. Lett. B 371 (1996) 261; H. Suganuma, S. Umisedo, S. Sasaki, H. Toki and O. Miyamura, Aust. J. Phys. 50 (1997) 233; R.C. Brower, K.N. Orginos and Chung-I Tan, Phys. Rev. D 55 (1997) 6313.
17. M.N. Chernodub and F.V. Gubarev, JETP Lett. 62 (1995) 100; H. Suganuma, A. Tanaka, S. Sasaki and O. Miyamura, Nucl. Phys. Proc. Suppl. 47 (1996) 302; A. Hart and M. Teper, Phys. Lett. B 371 (1996) 261; H. Suganuma, S. Umisedo, S. Sasaki, H. Toki and O. Miyamura, Aust. J. Phys. 50 (1997) 233; R.C. Brower, K.N. Orginos and Chung-I Tan, Phys. Rev. D 55 (1997) 6313.
18. M.N. Chernodub and F.V. Gubarev, JETP Lett. 62 (1995) 100; H. Suganuma, A. Tanaka, S. Sasaki and O. Miyamura, Nucl. Phys. Proc. Suppl. 47 (1996) 302; A. Hart and M. Teper, Phys. Lett. B 371 (1996) 261; H. Suganuma, S. Umisedo, S. Sasaki, H. Toki and O. Miyamura, Aust. J. Phys. 50 (1997) 233; R.C. Brower, K.N. Orginos and Chung-I Tan, Phys. Rev. D 55 (1997) 6313.
19. M.N. Chernodub and F.V. Gubarev, JETP Lett. 62 (1995) 100; H. Suganuma, A. Tanaka, S. Sasaki and O. Miyamura, Nucl. Phys. Proc. Suppl. 47 (1996) 302; A. Hart and M. Teper, Phys. Lett. B 371 (1996) 261; H. Suganuma, S. Umisedo, S. Sasaki, H. Toki and O. Miyamura, Aust. J. Phys. 50 (1997) 233; R.C. Brower, K.N. Orginos and Chung-I Tan, Phys. Rev. D 55 (1997) 6313.
20. M.N. Chernodub and F.V. Gubarev, JETP Lett. 62 (1995) 100; H. Suganuma, A. Tanaka, S. Sasaki and O. Miyamura, Nucl. Phys. Proc. Suppl. 47 (1996) 302; A. Hart and M. Teper, Phys. Lett. B 371 (1996) 261; H. Suganuma, S. Umisedo, S. Sasaki, H. Toki and O. Miyamura, Aust. J. Phys. 50 (1997) 233; R.C. Brower, K.N. Orginos and Chung-I Tan, Phys. Rev. D 55 (1997) 6313.
21. O. Jahn and F. Lenz, Phys. Rev. D 58 (1998) 085006.
22. A. Gonzalez-Arroyo, Yang-Mills Fields on the Four-dimensional Torus. Part I: Classical Theory, preprint FTUAM-97/18, hep-th/9807108.
23. J. Ambjorn and H. Flyvbjerg, Phys. Lett. B 97 (1980) 241.
24. P. van Baal, Comm. Math. Phys. 85 (1982) 529.
25. N. Weiss, Phys. Rev. D 24 (1981) 475.
26. E. Langmann, M. Salmhofer and A. Kovner, Mod. Phys. Lett. A 9 (1994) 2913.
27. F. Lenz, H.W.L. Naus and M. Thies, Ann. Phys. 233 (1994) 317.
28. C. Itzykson, Int. J. Mod. Phys. A 1 (1986) 65.
29. N. Bourbaki, Groupes et Algebres de Lie, Chapters 7 and 8, Hermann, Paris, 1968; LiE Software Package, CWI, Amsterdam, 1997.
30. H.W. Grießhammer, Magnetic Defects Signal Failure of Abelian Projection Gauges in QCD, preprint FAU-TP3-97/6, hep-ph/9709462.
31. G. 't Hooft, Nucl. Phys. B 79 (1974) 276; A.M. Polyakov, JETP Lett. 20 (1974) 194.
32. G. 't Hooft, Nucl. Phys. B 79 (1974) 276; A.M. Polyakov, JETP Lett. 20 (1974) 194.
33. C. Jayewardena, Helv. Phys. Acta 61 (1988) 636.
34. I. Sachs and A. Wipf, Helv. Phys. Acta 65 (1992) 653; Ann. Phys. 249 (1996) 380.
35. I. Sachs and A. Wipf, Helv. Phys. Acta 65 (1992) 653; Ann. Phys. 249 (1996) 380.
36. P. Goddard, J. Nuyts and D. Olive, Nucl. Phys. B 125 (1977) 1.
37. B.A. Dubrovin, A.T. Fomenko and S.P. Novikov, Modern Geometry - Methods and Applications (Springer, Berlin, 1992).
38. A.M. Polyakov, Phys. Lett. B 59 (1975) 82; T. Banks et al., Nucl. Phys. B 129 (1977) 493.
39. A.M. Polyakov, Phys. Lett. B 59 (1975) 82; T. Banks et al., Nucl. Phys. B 129 (1977) 493.
40. N. Seiberg and E. Witten, Nucl. Phys. B 341 (1994) 484.
41. T. Suzuki and I. Yotsuyanagi, Phys. Rev. D 42 (1990) 4257.
42. G.S. Bali, The Mechanism of Quark Confinement, preprint HUB-EP-98/57, hep-ph/9809351, and references therein.
43. K. Bernstein, G. Di Cecio and R.W. Haymaker, Phys. Rev. D 55 (1997) 6730.
44. M. Engelhardt and H. Reinhardt, Phys. Lett. B 430 (1998) 161; P. van Baal and J. Keller, Ann. Phys. 174 (1987) 299; Di Giacomo, Prog. Theor. Phys. Suppl. 131 (1998) 161, and references therein.
45. M. Engelhardt and H. Reinhardt, Phys. Lett. B 430 (1998) 161; P. van Baal and J. Keller, Ann. Phys. 174 (1987) 299; Di Giacomo, Prog. Theor. Phys. Suppl. 131 (1998) 161, and references therein.
46. M. Engelhardt and H. Reinhardt, Phys. Lett. B 430 (1998) 161; P. van Baal and J. Keller, Ann. Phys. 174 (1987) 299; Di Giacomo, Prog. Theor. Phys. Suppl. 131 (1998) 161, and references therein.