Resolution of Gauss' law in Yang-Mills theory by gauge-invariant projection: Topology and magnetic monopoles

Nuclear Physics B

Volumn 503, Issue 1-2, 1997, Pages 505-529

  Reinhardt, H ^a  

^a UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031566632     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00489-6     Document Type: Article

References (54)

1. [1] G.C. Rossi and M. Testa, Nucl. phys. B 163 (1980) 109.
2. [2] H. Reinhardt, Mod. Phys. Lett. A 11 (1996) 2451.
3. [3] M.B. Halpern, Phys. Rev. D 16 (1977) 3515; K. Johnson, The Yang-Mills Ground State in QCD - 20 years later, eds. P.M. Zerwas and H.A. Kastrup, p. 795; D.Z. Freedman, P.E. Haagensen, K. Johnson and J.-I. Latorre, hep-th/9309045; M. Bauer, D.Z. Freedman and P.E. Haagensen, Nucl. Phys. B 428 (1994) 147; P.E. Haagensen and K. Johnson, Nucl. Phys. B 439 (1995) 597; O. Ganor and J. Sonnenschein, The "dual" variables of Yang-Mills theory and local gauge invariant variables, hep-th/9507036; H. Reinhardt, Dual description of QCD, talk given at the Conference "Quark Confinement and the Hadron spectrum II" at Villa Olmo, Como, Italy, June 26-29, 1996, hep-th/9608191.
4. [3] M.B. Halpern, Phys. Rev. D 16 (1977) 3515; K. Johnson, The Yang-Mills Ground State in QCD - 20 years later, eds. P.M. Zerwas and H.A. Kastrup, p. 795; D.Z. Freedman, P.E. Haagensen, K. Johnson and J.-I. Latorre, hep-th/9309045; M. Bauer, D.Z. Freedman and P.E. Haagensen, Nucl. Phys. B 428 (1994) 147; P.E. Haagensen and K. Johnson, Nucl. Phys. B 439 (1995) 597; O. Ganor and J. Sonnenschein, The "dual" variables of Yang-Mills theory and local gauge invariant variables, hep-th/9507036; H. Reinhardt, Dual description of QCD, talk given at the Conference "Quark Confinement and the Hadron spectrum II" at Villa Olmo, Como, Italy, June 26-29, 1996, hep-th/9608191.
5. [3] M.B. Halpern, Phys. Rev. D 16 (1977) 3515; K. Johnson, The Yang-Mills Ground State in QCD - 20 years later, eds. P.M. Zerwas and H.A. Kastrup, p. 795; D.Z. Freedman, P.E. Haagensen, K. Johnson and J.-I. Latorre, hep-th/9309045; M. Bauer, D.Z. Freedman and P.E. Haagensen, Nucl. Phys. B 428 (1994) 147; P.E. Haagensen and K. Johnson, Nucl. Phys. B 439 (1995) 597; O. Ganor and J. Sonnenschein, The "dual" variables of Yang-Mills theory and local gauge invariant variables, hep-th/9507036; H. Reinhardt, Dual description of QCD, talk given at the Conference "Quark Confinement and the Hadron spectrum II" at Villa Olmo, Como, Italy, June 26-29, 1996, hep-th/9608191.
6. [3] M.B. Halpern, Phys. Rev. D 16 (1977) 3515; K. Johnson, The Yang-Mills Ground State in QCD - 20 years later, eds. P.M. Zerwas and H.A. Kastrup, p. 795; D.Z. Freedman, P.E. Haagensen, K. Johnson and J.-I. Latorre, hep-th/9309045; M. Bauer, D.Z. Freedman and P.E. Haagensen, Nucl. Phys. B 428 (1994) 147; P.E. Haagensen and K. Johnson, Nucl. Phys. B 439 (1995) 597; O. Ganor and J. Sonnenschein, The "dual" variables of Yang-Mills theory and local gauge invariant variables, hep-th/9507036; H. Reinhardt, Dual description of QCD, talk given at the Conference "Quark Confinement and the Hadron spectrum II" at Villa Olmo, Como, Italy, June 26-29, 1996, hep-th/9608191.
7. [3] M.B. Halpern, Phys. Rev. D 16 (1977) 3515; K. Johnson, The Yang-Mills Ground State in QCD - 20 years later, eds. P.M. Zerwas and H.A. Kastrup, p. 795; D.Z. Freedman, P.E. Haagensen, K. Johnson and J.-I. Latorre, hep-th/9309045; M. Bauer, D.Z. Freedman and P.E. Haagensen, Nucl. Phys. B 428 (1994) 147; P.E. Haagensen and K. Johnson, Nucl. Phys. B 439 (1995) 597; O. Ganor and J. Sonnenschein, The "dual" variables of Yang-Mills theory and local gauge invariant variables, hep-th/9507036; H. Reinhardt, Dual description of QCD, talk given at the Conference "Quark Confinement and the Hadron spectrum II" at Villa Olmo, Como, Italy, June 26-29, 1996, hep-th/9608191.
8. [3] M.B. Halpern, Phys. Rev. D 16 (1977) 3515; K. Johnson, The Yang-Mills Ground State in QCD - 20 years later, eds. P.M. Zerwas and H.A. Kastrup, p. 795; D.Z. Freedman, P.E. Haagensen, K. Johnson and J.-I. Latorre, hep-th/9309045; M. Bauer, D.Z. Freedman and P.E. Haagensen, Nucl. Phys. B 428 (1994) 147; P.E. Haagensen and K. Johnson, Nucl. Phys. B 439 (1995) 597; O. Ganor and J. Sonnenschein, The "dual" variables of Yang-Mills theory and local gauge invariant variables, hep-th/9507036; H. Reinhardt, Dual description of QCD, talk given at the Conference "Quark Confinement and the Hadron spectrum II" at Villa Olmo, Como, Italy, June 26-29, 1996, hep-th/9608191.
9. [3] M.B. Halpern, Phys. Rev. D 16 (1977) 3515; K. Johnson, The Yang-Mills Ground State in QCD - 20 years later, eds. P.M. Zerwas and H.A. Kastrup, p. 795; D.Z. Freedman, P.E. Haagensen, K. Johnson and J.-I. Latorre, hep-th/9309045; M. Bauer, D.Z. Freedman and P.E. Haagensen, Nucl. Phys. B 428 (1994) 147; P.E. Haagensen and K. Johnson, Nucl. Phys. B 439 (1995) 597; O. Ganor and J. Sonnenschein, The "dual" variables of Yang-Mills theory and local gauge invariant variables, hep-th/9507036; H. Reinhardt, Dual description of QCD, talk given at the Conference "Quark Confinement and the Hadron spectrum II" at Villa Olmo, Como, Italy, June 26-29, 1996, hep-th/9608191.
10. [4] J. Goldstone and R. Jackiw, Phys. Lett. B 74 (1978) 81d; V. Baluni and B. Grossman, Phys. Lett. B 78 (1978) 226; A. Izergin et al., Teor. Mat. Fiz. 38 (1979) 3.
11. [4] J. Goldstone and R. Jackiw, Phys. Lett. B 74 (1978) 81d; V. Baluni and B. Grossman, Phys. Lett. B 78 (1978) 226; A. Izergin et al., Teor. Mat. Fiz. 38 (1979) 3.
12. [4] J. Goldstone and R. Jackiw, Phys. Lett. B 74 (1978) 81d; V. Baluni and B. Grossman, Phys. Lett. B 78 (1978) 226; A. Izergin et al., Teor. Mat. Fiz. 38 (1979) 3.
13. [5] F. Lenz, H.W.L. Naus and M. Thies, Ann. Phys. 233 (1994) 317; F. Lenz, E.J. Moniz and M. Thies, Ann. Phys. 242 (1995) 429.
14. [5] F. Lenz, H.W.L. Naus and M. Thies, Ann. Phys. 233 (1994) 317; F. Lenz, E.J. Moniz and M. Thies, Ann. Phys. 242 (1995) 429.
15. [6] H. Reinhardt, Phys. Rev. D 55 (1997) 2331.
16. [7] G. 't Hooft, Nucl. Phys. B 190 (1981) 455; Phys. Scr. 25 (1981) 133.
17. [7] G. 't Hooft, Nucl. Phys. B 190 (1981) 455; Phys. Scr. 25 (1981) 133.
18. [8] A.S. Kronfeld, G. Schierholz and U.-J. Wiese, Nucl. Phys. B 293 (1987) 461; A.S. Kronfeld, M.L. Laursen, G. Schierholz and U.-J. Wiese, Phys. Lett. B 198 (1987) 516.
19. [8] A.S. Kronfeld, G. Schierholz and U.-J. Wiese, Nucl. Phys. B 293 (1987) 461; A.S. Kronfeld, M.L. Laursen, G. Schierholz and U.-J. Wiese, Phys. Lett. B 198 (1987) 516.
20. [9] T. Suzuki and I. Yotsuyanagi, Phys. Rev. D 42 (1990) 4257; S. Hioki et al., Phys. Lett. B 272 (1991) 326; T. Suzuki, Proceedings Symposium Lattice 92, Nucl. Phys. B (Proc. Suppl.) 30 (1993) 176; J.D. Stack, S.D. Neimann and R.J. Wensley, Phys. Rev. D 50 (1994) 3399; M.N. Chernodub, M.I. Polikarpov and V.I. Veslov, Phys. Lett. B 342 (1995) 303; S. Bali, V. Bornyakov, M. Mueller-Preussker and K. Schilling, hep-lat/9603012; for a recent review see: M.I. Polikarpov, hep-lat/960902 and references therein.
21. [9] T. Suzuki and I. Yotsuyanagi, Phys. Rev. D 42 (1990) 4257; S. Hioki et al., Phys. Lett. B 272 (1991) 326; T. Suzuki, Proceedings Symposium Lattice 92, Nucl. Phys. B (Proc. Suppl.) 30 (1993) 176; J.D. Stack, S.D. Neimann and R.J. Wensley, Phys. Rev. D 50 (1994) 3399; M.N. Chernodub, M.I. Polikarpov and V.I. Veslov, Phys. Lett. B 342 (1995) 303; S. Bali, V. Bornyakov, M. Mueller-Preussker and K. Schilling, hep-lat/9603012; for a recent review see: M.I. Polikarpov, hep-lat/960902 and references therein.
22. [9] T. Suzuki and I. Yotsuyanagi, Phys. Rev. D 42 (1990) 4257; S. Hioki et al., Phys. Lett. B 272 (1991) 326; T. Suzuki, Proceedings Symposium Lattice 92, Nucl. Phys. B (Proc. Suppl.) 30 (1993) 176; J.D. Stack, S.D. Neimann and R.J. Wensley, Phys. Rev. D 50 (1994) 3399; M.N. Chernodub, M.I. Polikarpov and V.I. Veslov, Phys. Lett. B 342 (1995) 303; S. Bali, V. Bornyakov, M. Mueller-Preussker and K. Schilling, hep-lat/9603012; for a recent review see: M.I. Polikarpov, hep-lat/960902 and references therein.
23. [9] T. Suzuki and I. Yotsuyanagi, Phys. Rev. D 42 (1990) 4257; S. Hioki et al., Phys. Lett. B 272 (1991) 326; T. Suzuki, Proceedings Symposium Lattice 92, Nucl. Phys. B (Proc. Suppl.) 30 (1993) 176; J.D. Stack, S.D. Neimann and R.J. Wensley, Phys. Rev. D 50 (1994) 3399; M.N. Chernodub, M.I. Polikarpov and V.I. Veslov, Phys. Lett. B 342 (1995) 303; S. Bali, V. Bornyakov, M. Mueller-Preussker and K. Schilling, hep-lat/9603012; for a recent review see: M.I. Polikarpov, hep-lat/960902 and references therein.
24. [9] T. Suzuki and I. Yotsuyanagi, Phys. Rev. D 42 (1990) 4257; S. Hioki et al., Phys. Lett. B 272 (1991) 326; T. Suzuki, Proceedings Symposium Lattice 92, Nucl. Phys. B (Proc. Suppl.) 30 (1993) 176; J.D. Stack, S.D. Neimann and R.J. Wensley, Phys. Rev. D 50 (1994) 3399; M.N. Chernodub, M.I. Polikarpov and V.I. Veslov, Phys. Lett. B 342 (1995) 303; S. Bali, V. Bornyakov, M. Mueller-Preussker and K. Schilling, hep-lat/9603012; for a recent review see: M.I. Polikarpov, hep-lat/960902 and references therein.
25. [9] T. Suzuki and I. Yotsuyanagi, Phys. Rev. D 42 (1990) 4257; S. Hioki et al., Phys. Lett. B 272 (1991) 326; T. Suzuki, Proceedings Symposium Lattice 92, Nucl. Phys. B (Proc. Suppl.) 30 (1993) 176; J.D. Stack, S.D. Neimann and R.J. Wensley, Phys. Rev. D 50 (1994) 3399; M.N. Chernodub, M.I. Polikarpov and V.I. Veslov, Phys. Lett. B 342 (1995) 303; S. Bali, V. Bornyakov, M. Mueller-Preussker and K. Schilling, hep-lat/9603012; for a recent review see: M.I. Polikarpov, hep-lat/960902 and references therein.
26. [9] T. Suzuki and I. Yotsuyanagi, Phys. Rev. D 42 (1990) 4257; S. Hioki et al., Phys. Lett. B 272 (1991) 326; T. Suzuki, Proceedings Symposium Lattice 92, Nucl. Phys. B (Proc. Suppl.) 30 (1993) 176; J.D. Stack, S.D. Neimann and R.J. Wensley, Phys. Rev. D 50 (1994) 3399; M.N. Chernodub, M.I. Polikarpov and V.I. Veslov, Phys. Lett. B 342 (1995) 303; S. Bali, V. Bornyakov, M. Mueller-Preussker and K. Schilling, hep-lat/9603012; for a recent review see: M.I. Polikarpov, hep-lat/960902 and references therein.
27. [10] L. Del Debbio, A. Di Giacomo, G. Pafitti and P. Pier, Phys. Lett. B 355 (1995) 255; S. Ejiri et al., Nucl. Phys. B (Proc. Suppl.) 47 (1996) 322; K. Bernstein, G. Di Cecio and R.W. Haymaker, hep-lat/9606018.
28. [10] L. Del Debbio, A. Di Giacomo, G. Pafitti and P. Pier, Phys. Lett. B 355 (1995) 255; S. Ejiri et al., Nucl. Phys. B (Proc. Suppl.) 47 (1996) 322; K. Bernstein, G. Di Cecio and R.W. Haymaker, hep-lat/9606018.
29. [10] L. Del Debbio, A. Di Giacomo, G. Pafitti and P. Pier, Phys. Lett. B 355 (1995) 255; S. Ejiri et al., Nucl. Phys. B (Proc. Suppl.) 47 (1996) 322; K. Bernstein, G. Di Cecio and R.W. Haymaker, hep-lat/9606018.
30. [11] L. Del Debbio, M. Faber, J. Greensite and S. Olejnik, hep-lat/9610005.
31. [12] V. Bornyakov, G. Schierholz, Phys. Lett. B 384 (1996) 190.
32. [13] A. Hart and M. Teper, Phys. Lett. B 371 (1996) 261; R.C. Brower, K.N. Orginos and C.-I. Tan, hep-th/9610101.
33. [13] A. Hart and M. Teper, Phys. Lett. B 371 (1996) 261; R.C. Brower, K.N. Orginos and C.-I. Tan, hep-th/9610101.
34. [14] M.N. Chernodub and F.V. Gubarev, JETP Lett. 62 (1995) 100.
35. [15] H. Suganuwa, K. Itakura and H. Toki, hep-ph/9512141.
36. [16] K. Langfeld, H. Reinhardt and M. Quandt, Monopoles and strings in Yang-Mills theory, hep-th/96102213.
37. [17] H. Suganuwa, A. Tanaka, S. Sasaki and O. Miyamura, hep-lat/9512024.
38. [18] M. Lüscher, R. Narayanan, P. Weisz and U. Wolff, Nucl. Phys. B 384 (1992) 168.
39. [19] K. Johnson, L. Lellouch and J. Polonyi, Nucl. Phys. B 367 (1991) 675.
40. [20] G.C. Rossi and M. Testa, Nucl. Phys. B 176 (1980) 477; B 237 (1984) 442.
41. [20] G.C. Rossi and M. Testa, Nucl. Phys. B 176 (1980) 477; B 237 (1984) 442.
42. [21] R. Jackiw, Rev. Mod. Phys. 52 (1980) 661; D. Gross, R. Pisarski and L. Yaffe, Rev. Mod. Phys. 53 (1981) 43.
43. [21] R. Jackiw, Rev. Mod. Phys. 52 (1980) 661; D. Gross, R. Pisarski and L. Yaffe, Rev. Mod. Phys. 53 (1981) 43.
44. [22] R.P. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).
45. [23] T. Bröcker and T. tom Dieck, Representations of Compact Lie Groups, Graduate Texts in Mathematics (Springer, New York, 1985).
46. [24] M. Blau and G. Thompson, Commun. Math. Phys. 171 (1995) 639.
47. [25] O. Babelon and C.M. Viallet, Phys. Lett. B 85 (1979) 296.
48. [26] O. Jahn, T. Kraus and M. Seeger, preprint hep-th/9610056; A. Schaefke, diploma thesis, Universität Tübingen (1997).
49. [26] O. Jahn, T. Kraus and M. Seeger, preprint hep-th/9610056; A. Schaefke, diploma thesis, Universität Tübingen (1997).
50. [27] E. Langmann, M. Salmhofer and A. Kovner, Mod. Phys. Lett. A 9 (1994) 2913; U.G. Mitreuter, J.M. Pawlowski and A. Wipf, prepint FSUJ-TPI-17/96, hep-th/9611105.
51. [27] E. Langmann, M. Salmhofer and A. Kovner, Mod. Phys. Lett. A 9 (1994) 2913; U.G. Mitreuter, J.M. Pawlowski and A. Wipf, prepint FSUJ-TPI-17/96, hep-th/9611105.
52. [28] H. Suganuma, S. Sasaki and H. Toki, Nucl. Phys. B 435 (1995) 207.
53. [29] N. Christ and R. Jackiw, Phys. Lett. B 91 (1980) 228.
54. [30] H. Griesshammer, preprint hep-ph/9608390.