The BF formalism for QCD and quark confinement

Nuclear Physics B

Volumn 496, Issue 1-2, 1997, Pages 259-284

  Fucito, Francesco ^a   Martellini, Maurizio ^b,c,d   Zeni, Mauro ^d  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

^c INFN SEZIONE DI ROMA   (Italy)

^d UNIVERSITY OF MILAN   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031558121     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00216-2     Document Type: Article

References (57)

1. [1] A.A. Abrikosov, Soviet Phys. JEPT 5 (1957) 1174; H.B. Nielsen and P. Olesen, Nucl. Phys. B 61 (1973) 45.
2. [1] A.A. Abrikosov, Soviet Phys. JEPT 5 (1957) 1174; H.B. Nielsen and P. Olesen, Nucl. Phys. B 61 (1973) 45.
3. [2] S. Mandelstam, Phys.Rep. C 23 (1976) 245.
4. [3] G. 't Hooft, in High Energy Physics, EPS Int. Conf., Palermo, 1975, ed. A.Zichichi, Physica Scripta 25 (1982) 133.
5. [4] A.M. Polyakov, Gauge Fields and Strings (Harwood, Chur, 1978).
6. [5] G. 't Hooft, Nucl. Phys. B 138 (1978) 1; B 153 (1979) 141.
7. [5] G. 't Hooft, Nucl. Phys. B 138 (1978) 1; B 153 (1979) 141.
8. [6] G. 't Hooft, Nucl. Phys. B 190[FS3] (1981) 455.
9. [7] A.S. Cattaneo, P. Cotta-Ramusino, A. Gamba and M. Martellini, Phys. Lett. B 355 (1995) 245; A.S. Cattaneo, P. Cotta-Ramusino, J. Fröhlich and M. Martellini, J. Math. Phys. 36 (1995) 6137.
10. [7] A.S. Cattaneo, P. Cotta-Ramusino, A. Gamba and M. Martellini, Phys. Lett. B 355 (1995) 245; A.S. Cattaneo, P. Cotta-Ramusino, J. Fröhlich and M. Martellini, J. Math. Phys. 36 (1995) 6137.
11. [8] Z.F. Ezawa and A. Iwazaki, Phys.Rev. D 25 (1982) 2681; Phys.Rev. D 26 (1982) 631.
12. [8] Z.F. Ezawa and A. Iwazaki, Phys.Rev. D 25 (1982) 2681; Phys.Rev. D 26 (1982) 631.
13. [9] G. Horowitz, Commun. Math. Phys. 125 (1989) 417.
14. [10] M. Blau and G. Thompson, Ann. Phys. 205 (1991) 130; N. Maggiore and S.P. Sorella, Int. J. Mod. Phys. A 8 (1993) 929.
15. [10] M. Blau and G. Thompson, Ann. Phys. 205 (1991) 130; N. Maggiore and S.P. Sorella, Int. J. Mod. Phys. A 8 (1993) 929.
16. [11] See also D. Anselmi, Topological field theory and confinement, hep-th/9504049; On field theory quantization around instantons, hep-th/9507167 (HUTP-95/A026).
17. [11] See also D. Anselmi, Topological field theory and confinement, hep-th/9504049; On field theory quantization around instantons, hep-th/9507167 (HUTP-95/A026).
18. [12] M. Martellini and M. Zeni, Diagrammatic Feynman rules and β-function for the BF approach to QCD, in preparation.
19. [13] I.Ya Araf'eva, Theor. Math. Phys. 43 (1980) 353; N. Bralic, Phys. Rev. D 22 (1980) 3090; M.B. Halpern, Phys.Rev. D 16 (1977) 1798; D 19 (1979) 517.
20. [13] I.Ya Araf'eva, Theor. Math. Phys. 43 (1980) 353; N. Bralic, Phys. Rev. D 22 (1980) 3090; M.B. Halpern, Phys.Rev. D 16 (1977) 1798; D 19 (1979) 517.
21. [13] I.Ya Araf'eva, Theor. Math. Phys. 43 (1980) 353; N. Bralic, Phys. Rev. D 22 (1980) 3090; M.B. Halpern, Phys.Rev. D 16 (1977) 1798; D 19 (1979) 517.
22. [13] I.Ya Araf'eva, Theor. Math. Phys. 43 (1980) 353; N. Bralic, Phys. Rev. D 22 (1980) 3090; M.B. Halpern, Phys.Rev. D 16 (1977) 1798; D 19 (1979) 517.
23. [14] P.M. Fishbane, S. Gasiorowicz and P. Kaus, Phys. Rev. D 24 (1981) 2324.
24. [15] C. Hong-Mo, J. Faridani, J. Pfauder and T. Sheng Tsun, Rudiment of dual Feynman rules for Yang-Mills monopoles in loop space, hep-th/9603188.
25. [16] F. Fucito, M. Martellini, A. Tanzini and M. Zeni, The topological embedding of the BF Theory in Yang-Mills", in preparation.
26. [17] A. Liguori, M. Mintchev and M. Rossi, Phys. Lett. B 305 (1993) 52.
27. [18] L. Del Debbio, A. Di Giacomo, G. Paffuti and P. Pieri, Phys. Lett. B 355 (1995) 255.
28. [19] E. Guadagnini, M. Martellini and M. Mintchev, Nucl. Phys. B 336 (1990) 581.
29. [20] G. Calugareanu, Rev. Math. Pures et Appl. (Bucarest) 4 (1959) 5; W.F. Pohl, J. Math. Mech. 17 (1986) 975.
30. [20] G. Calugareanu, Rev. Math. Pures et Appl. (Bucarest) 4 (1959) 5; W.F. Pohl, J. Math. Mech. 17 (1986) 975.
31. [21] K. Huang, Quarks, Leptons and Gauge Fields (World Scientific, Singapore, 1992).
32. [22] G. 't Hooft, Nucl. Phys. B 35 (1971) 167.
33. [23] D.S. Freed and K.K. Uhlenbeck, Instantons and Four Manifolds (Springer, New York, 1984).
34. [24] G. 't Hooft, Nucl. Phys. B 72 (1974) 461.
35. [25] A.S. Kronfeld, G. Schierholz and U.J. Wiese, Nucl. Phys. B 293 (1987) 461.
36. [26] D. Anselmi and P. Fré, Phys. Lett. B 347 (1994) 247.
37. [27] E. Witten, Math. Res. Lett. 1 (1994) 769.
38. [28] E. Witten, Commun. Math. Phys. 117 (1988) 353; L. Baulieu and I.M. Singer, Nucl. Phys. B (Proc. Suppl.) 5B (1988) 12.
39. [28] E. Witten, Commun. Math. Phys. 117 (1988) 353; L. Baulieu and I.M. Singer, Nucl. Phys. B (Proc. Suppl.) 5B (1988) 12.
40. [29] E. Guadagnini, N. Maggiore and S.P. Sorella, Phys. Lett B 255 (1991) 65.
41. [30] M.N. Chernodub and M.I. Polikarpov, Aharonov-Bohm effect in the Abelian Higgs theory", hep-th/9510014, and references therein.
42. [31] K. Lee, Phys. Rev. D 48 (1993) 2493.
43. [32] M. Martellini. A. Sagnotti and M. Zeni, Shock waves and the vacuum structure of gauge theories, Proc. Quark Confinement and Hadron Spectrum, Como, 1994, ed. N. Brambilla and G.M. Prosperi (World Scientific, Singapore, 1995).
44. [33] P.G.O. Freund, Dirac monopoles and Witten's monopole equations, hep-th/9412208.
45. 4 kink solutions of the Seiberg-Witten equations, hep-th/9602088.
46. [35] S.K. Donaldson and P.B. Kronheimer, The Geometry of Four Manifolds (Oxford Press, Oxford, 1991).
47. [36] T.R. Morris, D.A. Ross and C.T. Sachrajda, Nucl. Phys. B 255 (1985) 115; H. Osborn, Ann. Phys. 135 (1981) 373.
48. [36] T.R. Morris, D.A. Ross and C.T. Sachrajda, Nucl. Phys. B 255 (1985) 115; H. Osborn, Ann. Phys. 135 (1981) 373.
49. [37] E. Corrigan, P. Goddard, H. Osborn and S. Templeton, Nucl. Phys. B 159 (1979) 469.
50. [38] J. Smit and A.J. van der Sijs, Nucl. Phys. B 355 (1991) 603; H. Shiba and T. Suzuki, Phys. Lett. B 333 (1994) 461.
51. [38] J. Smit and A.J. van der Sijs, Nucl. Phys. B 355 (1991) 603; H. Shiba and T. Suzuki, Phys. Lett. B 333 (1994) 461.
52. [39] P. Olesen, Nucl. Phys. B 184 (1981) 429.
53. [40] P. Cotta-Ramusino and M. Martellini, in Knots and Quantum Gravity, ed. J. Baez (Oxford University Press, Oxford, 1994); A.S. Cattaneo, Teorie topologiche di tipo BF ed invarianti dei nodi, Ph.D. Thesis, University of Milan, Italy, 1995.
54. [40] P. Cotta-Ramusino and M. Martellini, in Knots and Quantum Gravity, ed. J. Baez (Oxford University Press, Oxford, 1994); A.S. Cattaneo, Teorie topologiche di tipo BF ed invarianti dei nodi, Ph.D. Thesis, University of Milan, Italy, 1995.
55. [41] G.T. Horowitz and M. Siednicki, Comm. Math. Phys. 130 (1990) 83.
56. [42] Y.M. Makeenko and A.A. Migdal, Phys. Lett. B 97 (1980) 253.
57. [43] D. Amati, S. Elitzur and E. Rabinovici, Nucl. Phys. B 418 (1994) 45.