Lattice gauge fields topology uncovered by quaternionic σ-model embedding

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 72, Issue 7, 2005, Pages

  Gubarev, F V ^a   Morozov, S M ^a  

^a INSTITUTE FOR THEORETICAL AND EXPERIMENTAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 29744443943     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.72.076008     Document Type: Article

References (79)

1. A.A. Belavin, A.M. Polyakov, A.S. Shvarts, and Y.S. Tyupkin, Phys. Lett. B PYLBAJ 0370-2693 59, 85 (1975); 10.1016/0370-2693(75)90163-X
2. A.M. Polyakov, Nucl. Phys. NUPBBO 0550-3213 B120, 429 (1977). 10.1016/0550-3213(77)90086-4
3. C.G. Callan, R.F. Dashen, and D.J. Gross, Phys. Lett. 66B, 375 (1977); PYLBAJ 0370-2693 10.1016/0370-2693(77)90019-3
4. C.G. Callan R.F. Dashen D.J. Gross Phys. Rev. D 17, 2717 (1978); PRVDAQ 0556-2821 10.1103/PhysRevD.17.2717
5. C.G. Callan R.F. Dashen D.J. Gross Phys. Rev. D 19, 1826 (1979). PRVDAQ 0556-2821 10.1103/PhysRevD.19.1826
6. T. Schafer and E.V. Shuryak, Rev. Mod. Phys. 70, 323 (1998). RMPHAT 0034-6861 10.1103/RevModPhys.70.323
7. E. Witten, Nucl. Phys. NUPBBO 0550-3213 B149, 285 (1979). 10.1016/0550-3213(79)90243-8
8. P. Di Vecchia, K. Fabricius, G.C. Rossi, and G. Veneziano, Nucl. Phys. NUPBBO 0550-3213 B192, 392 (1981); 10.1016/0550-3213(81)90432-6
9. P. Di Vecchia K. Fabricius G.C. Rossi G. Veneziano Phys. Lett. 108B, 323 (1982). PYLBAJ 0370-2693 10.1016/0370-2693(82)91203-5
10. M. Luscher, Commun. Math. Phys. 85, 39 (1982). CMPHAY 0010-3616 10.1007/BF02029132
11. A. Phillips and D. Stone, Commun. Math. Phys. 103, 599 (1986). CMPHAY 0010-3616 10.1007/BF01211167
12. D.J.R. Pugh and M. Teper, Phys. Lett. B 218, 326 (1989); PYLBAJ 0370-2693 10.1016/0370-2693(89)91590-6
13. D.J.R. Pugh M. Teper Phys. Lett. B 224, 159 (1989). PYLBAJ 0370-2693 10.1016/0370-2693(89)91067-8
14. H. Neuberger, Phys. Lett. B 417, 141 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(97)01368-3
15. H. Neuberger Phys. Lett. B 427, 353 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00355-4
16. R. Narayanan and H. Neuberger, Nucl. Phys. NUPBBO 0550-3213 B443, 305 (1995); 10.1016/0550-3213(95)00111-5
17. P. Hasenfratz, V. Laliena, and F. Niedermayer, Phys. Lett. B 427, 125 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(98)00315-3
18. D.H. Adams, Ann. Phys. (N.Y.) APNYA6 0003-4916 296, 131 (2002); 10.1006/aphy.2001.6209
19. R. Narayanan and P.M. Vranas, Nucl. Phys. NUPBBO 0550-3213 B506, 373 (1997). 10.1016/S0550-3213(97)00544-0
20. F. Gursey and C.H. Tze, Ann. Phys. (N.Y.) APNYA6 0003-4916 128, 29 (1980). 10.1016/0003-4916(80)90056-1
21. J. Lukierski, CERN-TH-2678;
22. Y.N. Kafiev, Phys. Lett. 87B, 219 (1979); PYLBAJ 0370-2693 10.1016/0370-2693(79)90968-7
23. Y.N. Kafiev Phys. Lett. 96B, 337 (1980); PYLBAJ 0370-2693 10.1016/0370-2693(80)90781-9
24. Y.N. Kafiev Nucl. Phys. NUPBBO 0550-3213 B178, 177 (1981); 10.1016/0550-3213(81)90502-2
25. M.A. Jafarizadeh, M. Snyder, and C.H. Tze, Nucl. Phys. NUPBBO 0550-3213 B176, 221 (1980); 10.1016/0550-3213(80)90074-7
26. B. Felsager and J.M. Leinaas, Ann. Phys. (N.Y.) APNYA6 0003-4916 130, 461 (1980); 10.1016/0003-4916(80)90346-2
27. D. Maison, MPI-PAE/PTh 52/79;
28. C.N. Yang, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 19, 320 (1978); 10.1063/1.523506
29. V.G. Drinfeld and Y.I. Manin, Commun. Math. Phys. 63, 177 (1978); CMPHAY 0010-3616 10.1007/BF01220851
30. J.E. Avron, L. Sadun, J. Segert, and B. Simon, Commun. Math. Phys. CMPHAY 0010-3616 124, 595 (1989); 10.1007/BF01218452
31. M.T. Johnsson and I.J.R. Aitchison, J. Phys. A JPHAC5 0305-4470 30, 2085 (1997); 10.1088/0305-4470/30/6/029
32. E. Demler and S.C. Zhang, Ann. Phys. (N.Y.) APNYA6 0003-4916 271, 83 (1999). 10.1006/aphy.1998.5866
33. B.A. Dubrovin, A.T. Fomenko, and S.P. Novikov, Modern Geometry: Methods and Applications (Springer-Verlag, New York, 1992);
34. B.A. Dubrovin, A.T. Fomenko, and S.P. Novikov, Modern Geometry: Introduction to Homology Theory (Springer-Verlag, New York, 1992).
35. C. Gattringer, M. Gockeler, P.E.L. Rakow, S. Schaefer, and A. Schafer, Nucl. Phys. NUPBBO 0550-3213 B617, 101 (2001); 10.1016/S0550-3213(01)00478-3
36. C. Gattringer M. Gockeler P.E.L. Rakow S. Schaefer A. Schafer Nucl. Phys. NUPBBO 0550-3213 B618, 205 (2001). 10.1016/S0550-3213(01)00509-0
37. T. DeGrand and A. Hasenfratz, Phys. Rev. D 64, 034512 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.64.034512
38. T. DeGrand A. Hasenfratz Phys. Rev. D 65, 014503 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.65.014503
39. I. Hip, T. Lippert, H. Neff, K. Schilling, and W. Schroers, Phys. Rev. D 65, 014506 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.65.014506
40. R.G. Edwards and U.M. Heller, Phys. Rev. D 65, 014505 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.65.014505
41. T. Blum, Phys. Rev. D 65, 014504 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.65.014504
42. I. Horvath, Phys. Rev. D 66, 034501 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.034501
43. I. Horvath, Phys. Lett. B 612, 21 (2005); PYLBAJ 0370-2693 10.1016/j.physletb.2005.03.004
44. I. Horvath Phys. Rev. D 68, 114505 (2003); PRVDAQ 0556-2821 10.1103/PhysRevD.68.114505
45. I. Horvath Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 129, 677 (2004); 10.1016/S0920-5632(03)02678-1
46. A. Alexandru, I. Horvath, and J.b. Zhang, Phys. Rev. D 72, 034506 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.034506
47. M.S. Narasimhan and S. Ramanan, Am. J. Math. AJMAAN 0002-9327 85, 223 (1963).
48. M.F. Atiyah, N.J. Hitchin, V.G. Drinfeld, and Y.I. Manin, Phys. Lett. 65A, 185 (1978). PYLAAG 0375-9601 10.1016/0375-9601(78)90141-X
49. M. Dubois-Violette and Y. Georgelin, Phys. Lett. 82B, 251 (1979). PYLBAJ 0370-2693 10.1016/0370-2693(79)90748-2
50. E. Seiler and I.O. Stamatescu, Phys. Rev. D 25, 2177 (1982); PRVDAQ 0556-2821 10.1103/PhysRevD.25.2177
51. E. Seiler I.O. Stamatescu Phys. Rev. D 26, 534(E) (1982). PRVDAQ 0556-2821 10.1103/PhysRevD.26.534
52. P. de Forcrand, M. Garcia Perez, and I.O. Stamatescu, Nucl. Phys. NUPBBO 0550-3213 B499, 409 (1997); 10.1016/S0550-3213(97)00275-7
53. J.B. Zhang, S.O. Bilson-Thompson, F.D.R. Bonnet, D.B. Leinweber, A.G. Williams, and J.M. Zanotti, Phys. Rev. D 65, 074510 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.65.074510
54. L. Del Debbio and C. Pica, J. High Energy Phys. JHEPFG 1029-8479 02 (2004) 003. 10.1088/1126-6708/2004/02/003
55. B. Berg and M. Luscher, Nucl. Phys. NUPBBO 0550-3213 B190, 412 (1981); 10.1016/0550-3213(81)90568-X
56. B. Berg and C. Panagiotakopoulos, Nucl. Phys. NUPBBO 0550-3213 B251, 353 (1985). 10.1016/0550-3213(85)90266-4
57. M.L. Laursen, G. Schierholz, and U.J. Wiese, Commun. Math. Phys. 103, 693 (1986); CMPHAY 0010-3616 10.1007/BF01211170
58. M. Gockeler, M.L. Laursen, G. Schierholz, and U.J. Wiese, Commun. Math. Phys. 107, 467 (1986). CMPHAY 0010-3616 10.1007/BF01221000
59. S.L. Adler and J. Anandan, Found. Phys. 26, 1579 (1996); FNDPA4 0015-9018
60. S.L. Adler, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 37, 2352 (1996). 10.1063/1.531514
61. M. Garcia Perez, O. Philipsen, and I.O. Stamatescu, Nucl. Phys. NUPBBO 0550-3213 B551, 293 (1999). 10.1016/S0550-3213(99)00211-4
62. A.J. Schramm and B. Svetitsky, Phys. Rev. D 62, 114020 (2000); PRVDAQ 0556-2821 10.1103/PhysRevD.62.114020
63. J. Murakami and A. Ushijima, math.MG/0402087.
64. A.S. Kronfeld, M.L. Laursen, G. Schierholz, and U.J. Wiese, Nucl. Phys. NUPBBO 0550-3213 B292, 330 (1987). 10.1016/0550-3213(87)90648-1
65. I. Horvath, Phys. Rev. D 67, 011501 (2003); PRVDAQ 0556-2821 10.1103/PhysRevD.67.011501
66. I. Horvath Phys. Lett. B 617, 49 (2005). PYLBAJ 0370-2693 10.1016/j.physletb.2005.04.076
67. N. Cundy, M. Teper, and U. Wenger, Phys. Rev. D 66, 094505 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.094505
68. B. Lucini and M. Teper, J. High Energy Phys. JHEPFG 1029-8479 06 (2001) 050; 10.1088/1126-6708/2001/06/050
69. L. Del Debbio, H. Panagopoulos, and E. Vicari, J. High Energy Phys. JHEPFG 1029-8479 08 (2002) 044; 10.1088/1126-6708/2002/08/044
70. L. Del Debbio, L. Giusti, and C. Pica, Phys. Rev. Lett. 94, 032003 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.032003
71. D. Diakonov and V. Petrov, in Proceedings of the Workshop on Continuous Advances in QCD (World Scientific, Singapore, 1996);
72. D. Diakonov V. Petrov in Proceedings of the International Workshop on Nonperturbative Approaches to QCD, Trento, Italy, 1995 (unpublished).
73. E. Seiler, Phys. Lett. B 525, 355 (2002). PYLBAJ 0370-2693 10.1016/S0370-2693(01)01469-1
74. E. Vicari, Nucl. Phys. NUPBBO 0550-3213 B554, 301 (1999). 10.1016/S0550-3213(99)00297-7
75. V.I. Zakharov, hep-ph/0309178.
76. C. Aubin (MILC Collaboration), hep-lat/0410024;
77. T.G. Kovacs, Phys. Rev. D 67, 094501 (2003); PRVDAQ 0556-2821 10.1103/PhysRevD.67.094501
78. C. Gattringer and R. Pullirsch, Phys. Rev. D 69, 094510 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.094510
79. F.V. Gubarev, S.M. Morozov, M.I. Polikarpov, and V.I. Zakharov, hep-lat/0505016.