Gauge-invariant quantities characterizing gauge fields in chromodynamics

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 77, Issue 4, 2008, Pages

  Nayak, Gouranga C ^a,b   Shrock, Robert ^a  

^a STONY BROOK UNIVERSITY   (United States)

^b UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 41049095126     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.77.045008     Document Type: Article

References (88)

1. J.S. Schwinger, Phys. Rev. 82, 664 (1951). PHRVAO 0031-899X 10.1103/PhysRev.82.664
2. W. Heisenberg and H. Euler, Z. Phys. ZEPYAA 0044-3328 98, 714 (1936). 10.1007/BF01343663
3. A. Casher, H. Neuberger, and S. Nussinov, Phys. Rev. D 20, 179 (1979). PRVDAQ 0556-2821 10.1103/PhysRevD.20.179
4. A. Yildiz and P.H. Cox, Phys. Rev. D 21, 1095 (1980); PRVDAQ 0556-2821 10.1103/PhysRevD.21.1095
5. M. Claudson, A. Yildiz, and P.H. Cox, Phys. Rev. D 22, 2022 (1980). PRVDAQ 0556-2821 10.1103/PhysRevD.22.2022
6. N.K. Glendenning and T. Matsui, Phys. Rev. D 28, 2890 (1983). PRVDAQ 0556-2821 10.1103/PhysRevD.28.2890
7. B. Andersson, The Lund Model (Cambridge University Press, Cambridge, England, 1998).
8. An example is PYTHIA: http://www.thep.lu.se/(tilde)torbjorn/pythia.html.
9. G. Baym, Phys. Lett. B 138, 18 (1984); PYLBAJ 0370-2693 10.1016/0370-2693(84)91863-X
10. A. Bialas and W. Czyz, Phys. Rev. D 30, 2371 (1984); PRVDAQ 0556-2821 10.1103/PhysRevD.30.2371
11. K. Kajantie and T. Matsui, Phys. Lett. B 164, 373 (1985); PYLBAJ 0370-2693 10.1016/0370-2693(85)90343-0
12. G. Gatoff, A.K. Kerman, and T. Matsui, Phys. Rev. D 36, 114 (1987); PRVDAQ 0556-2821 10.1103/PhysRevD.36.114
13. A. Bialas, W. Czyz, A. Dyrek, and W. Florkowski, Nucl. Phys. NUPBBO 0550-3213 B296, 611 (1988); 10.1016/0550-3213(88)90035-1
14. G.C. Nayak, Phys. Lett. B 442, 427 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(98)01262-3
15. G.C. Nayak J. High Energy Phys. JHEPFG 1029-8479 02 (1998) 005; 10.1088/1126-6708/1998/02/005
16. X.N. Wang, Phys. Rep. 280, 287 (1997); PRPLCM 0370-1573 10.1016/S0370-1573(96)00022-1
17. G.C. Nayak and V. Ravishankar, Phys. Rev. D 55, 6877 (1997); PRVDAQ 0556-2821 10.1103/PhysRevD.55.6877
18. G.C. Nayak V. Ravishankar Phys. Rev. C 58, 356 (1998); PRVCAN 0556-2813 10.1103/PhysRevC.58.356
19. R.S. Bhalerao and G.C. Nayak, Phys. Rev. C 61, 054907 (2000); PRVCAN 0556-2813 10.1103/PhysRevC.61.054907
20. G.C. Nayak and W. Greiner, arXiv:hep-th/0001009;
21. G.C. Nayak, A. Dumitru, L. McLerran, and W. Greiner, Nucl. Phys. NUPABL 0375-9474 A687, 457 (2001); 10.1016/S0375-9474(00)00577-7
22. D.D. Dietrich, G.C. Nayak, and W.Greiner, Phys. Rev. D 64, 074006 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.64.074006
23. D.D. Dietrich G.C. Nayak W.Greiner arXiv:hep-ph/0009178;
24. D.D. Dietrich G.C. Nayak W.Greiner J. Phys. G JPGPED 0954-3899 28, 2001 (2002); 10.1088/0954-3899/28/7/361
25. C-W. Kao, G.C. Nayak, and W. Greiner, Phys. Rev. D 66, 034017 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.66.034017
26. F. Cooper, C-W. Kao, and G.C. Nayak, Phys. Rev. D 66, 114016 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.66.114016
27. F. Cooper, E. Mottola, and G.C. Nayak, Phys. Lett. B 555, 181 (2003). PYLBAJ 0370-2693 10.1016/S0370-2693(03)00080-7
28. Y. Kluger, J.M. Eisenberg, B. Svetitsky, F. Cooper, and E. Mottola, Phys. Rev. Lett. 67, 2427 (1991); PRLTAO 0031-9007 10.1103/PhysRevLett.67.2427
29. Y. Kluger J.M. Eisenberg B. Svetitsky F. Cooper E. Mottola Phys. Rev. D 45, 4659 (1992); PRVDAQ 0556-2821 10.1103/PhysRevD.45.4659
30. F. Cooper and E. Mottola, Phys. Rev. D 40, 456 (1989); PRVDAQ 0556-2821 10.1103/PhysRevD.40.456
31. F. Cooper, J.M. Eisenberg, Y. Kluger, E. Mottola, and B. Svetitsky, Phys. Rev. D 48, 190 (1993); PRVDAQ 0556-2821 10.1103/PhysRevD.48.190
32. F. Cooper, J. Dawson, Y. Kluger, and H. Shepard, Nucl. Phys. NUPABL 0375-9474 A566, 395c (1994); 10.1016/0375-9474(94)90653-X
33. K.J. Eskola and M. Gyulassy, Phys. Rev. C 47, 2329 (1993). PRVCAN 0556-2813 10.1103/PhysRevC.47.2329
34. L. McLerran and R. Venugopalan, Phys. Rev. D 49, 2233 (1994); PRVDAQ 0556-2821 10.1103/PhysRevD.49.2233
35. L. McLerran R. Venugopalan Phys. Rev. D 49, 3352 (1994); PRVDAQ 0556-2821 10.1103/PhysRevD.49.3352
36. D. Kharzeev and H. Satz, Phys. Lett. B 334, 155 (1994); PYLBAJ 0370-2693 10.1016/0370-2693(94)90604-1
37. A. Kovner, L. McLerran, and H. Weigert, Phys. Rev. D 52, 6231 (1995); PRVDAQ 0556-2821 10.1103/PhysRevD.52.6231
38. Y.V. Kovchegov, Phys. Rev. D 54, 5463 (1996); PRVDAQ 0556-2821 10.1103/PhysRevD.54.5463
39. Y.V. Kovchegov and D.H. Rischke, Phys. Rev. C 56, 1084 (1997); PRVCAN 0556-2813 10.1103/PhysRevC.56.1084
40. Y.V. Kovchegov and A.H. Mueller, Nucl. Phys. NUPBBO 0550-3213 B529, 451 (1998); 10.1016/S0550-3213(98)00384-8
41. W. Pöschl and B. Müller, Phys. Rev. D 60, 114505 (1999); PRVDAQ 0556-2821 10.1103/PhysRevD.60.114505
42. R.D. Pisarski, Phys. Rev. D 62, 111501(R) (2000); PRVDAQ 0556-2821 10.1103/PhysRevD.62.111501
43. A. Krasnitz and R. Venugopalan, Phys. Rev. Lett. 84, 4309 (2000); PRLTAO 0031-9007 10.1103/PhysRevLett.84.4309
44. A. Krasnitz R. Venugopalan Phys. Rev. Lett. 86, 1717 (2001); PRLTAO 0031-9007 10.1103/PhysRevLett.86.1717
45. A.H. Mueller, Nucl. Phys. NUPBBO 0550-3213 B643, 501 (2002); 10.1016/S0550-3213(02)00745-9
46. D. Kharzeev, arXiv:hep-ph/0204014;
47. E. Iancu and A.H. Mueller, Nucl. Phys. NUPABL 0375-9474 A730, 460 (2004); 10.1016/j.nuclphysa.2003.10.017
48. D. Kharzeev, E. Levin, and M. Nardi, Phys. Rev. C 71, 054903 (2005); PRVCAN 0556-2813 10.1103/PhysRevC.71.054903
49. T. Lappi and L. McLerran, Nucl. Phys. NUPABL 0375-9474 A772, 200 (2006); 10.1016/j.nuclphysa.2006.04.001
50. D. Kharzeev, E. Levin, and K. Tuchin, Phys. Rev. C 75, 044903 (2007). PRVCAN 0556-2813 10.1103/PhysRevC.75.044903
51. E.V. Shuryak, Nucl. Phys. NUPABL 0375-9474 A717, 291 (2003); 10.1016/S0375-9474(03)00639-0
52. E.V. Shuryak Prog. Part. Nucl. Phys. 53, 273 (2004); PPNPDB 0146-6410 10.1016/j.ppnp.2004.02.025
53. B.A. Gelman, E.V. Shuryak, and I. Zahed, Phys. Rev. C 74, 044908 (2006); PRVCAN 0556-2813 10.1103/PhysRevC.74.044908
54. B.A. Gelman E.V. Shuryak I. Zahed Phys. Rev. C 74, 044909 (2006). PRVCAN 0556-2813 10.1103/PhysRevC.74.044909
55. G.C. Nayak and P. van Nieuwenhuizen, Phys. Rev. D 71, 125001 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.71.125001
56. F. Cooper and G.C. Nayak, Phys. Rev. D 73, 065005 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.065005
57. G.C. Nayak, Phys. Rev. D 72, 125010 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.125010
58. A.A. Belavin, A.M. Polyakov, A.S. Schwartz, and Y.S. Tyupkin, Phys. Lett. B 59, 85 (1975). PYLBAJ 0370-2693 10.1016/0370-2693(75)90163-X
59. G. 't Hooft, Phys. Rev. Lett. 37, 8 (1976); PRLTAO 0031-9007 10.1103/PhysRevLett.37.8
60. G. 't Hooft Phys. Rev. D 14, 3432 (1976). PRVDAQ 0556-2821 10.1103/PhysRevD.14.3432
61. C.G. Callan, R. Dashen, and D.J. Gross, Phys. Lett. B 63, 334 (1976); PYLBAJ 0370-2693 10.1016/0370-2693(76)90277-X
62. C.G. Callan R. Dashen D.J. Gross Phys. Rev. D 17, 2717 (1978). PRVDAQ 0556-2821 10.1103/PhysRevD.17.2717
63. T. Shafer and E. Shuryak, Rev. Mod. Phys. 70, 323 (1998). RMPHAT 0034-6861 10.1103/RevModPhys.70.323
64. V.A. Kuzmin, V.A. Rubakov, and M.E. Shaposhnikov, Phys. Lett. B 155, 36 (1985). PYLBAJ 0370-2693 10.1016/0370-2693(85)91028-7
65. G. 't Hooft, Phys. Rep. 142, 357 (1986), and references therein. PRPLCM 0370-1573 10.1016/0370-1573(86)90117-1
66. T.T. Wu and C.N. Yang, Phys. Rev. D 12, 3843 (1975); PRVDAQ 0556-2821 10.1103/PhysRevD.12.3843
67. T.T. Wu C.N. Yang Phys. Rev. D 13, 3233 (1976). PRVDAQ 0556-2821 10.1103/PhysRevD.13.3233
68. R. Roskies, Phys. Rev. D 15, 1722 (1977); PRVDAQ 0556-2821 10.1103/PhysRevD.15.1722
69. R. Roskies Phys. Rev. D 15, 1731 (1977); PRVDAQ 0556-2821 10.1103/PhysRevD.15.1731
70. J. Anandan, and R. Roskies, Phys. Rev. D 18, 1152 (1978); PRVDAQ 0556-2821 10.1103/PhysRevD.18.1152
71. J. Anandan R. Roskies J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 19, 2614 (1978). 10.1063/1.523616
72. Some other early papers on classical Yang-Mills theories include J.E. Mandula, Phys. Rev. D 14, 3497 (1976); PRVDAQ 0556-2821 10.1103/PhysRevD.14.3497
73. L.L. Wang and C.N. Yang, Phys. Rev. D 17, 2687 (1978); PRVDAQ 0556-2821 10.1103/PhysRevD.17.2687
74. L.S. Brown and D.B. Creamer, Phys. Rev. D 18, 3695 (1978); PRVDAQ 0556-2821 10.1103/PhysRevD.18.3695
75. M. Carmeli and M. Fischler, Phys. Rev. D 19, 3653 (1979); PRVDAQ 0556-2821 10.1103/PhysRevD.19.3653
76. P. Sikivie and N. Weiss, Phys. Rev. D 18, 3809 (1978); PRVDAQ 0556-2821 10.1103/PhysRevD.18.3809
77. P. Sikivie N. Weiss Phys. Rev. D 20, 487 (1979); PRVDAQ 0556-2821 10.1103/PhysRevD.20.487
78. R. Jackiw, L. Jacobs, and C. Rebbi, Phys. Rev. D 20, 474 (1979); PRVDAQ 0556-2821 10.1103/PhysRevD.20.474
79. an early review is AA. Actor, Rev. Mod. Phys. 51, 461 (1979). RMPHAT 0034-6861 10.1103/RevModPhys.51.461
80. For the special case where Ba=0 a and Ea=Eaz, the results in Eqs.(6.11) reduce to those in Ref. if the following misprint in Eq.(3) of Ref. is corrected: on the left-hand side of that equation, cos 3θ should be replaced by cos (3θ).
81. E. Brézin and C. Itzykson, Phys. Rev. D 2, 1191 (1970). PRVDAQ 0556-2821 10.1103/PhysRevD.2.1191
82. H.M. Fried, Y. Gabellini, B.H.J. McKellar, and J. Avan, Phys. Rev. D 63, 125001 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.63.125001
83. G.V. Dunne, in Ian Kogan Memorial Vol., edited by, M. Shifman, A. Vainshtein, and, J. Wheater, (World Scientific, Singapore, 2005).
84. F. Cooper and G.C. Nayak, arXiv:hep-th/0609129;
85. F. Cooper G.C. Nayak arXiv:hep-th/0611125;
86. F. Cooper G.C. Nayak arXiv:hep-th/0612292;
87. G.C. Nayak, arXiv:0705.2770;
88. G.C. Nayak arXiv:0708.2430.