Universal attractor in a highly occupied non-Abelian plasma

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 89, Issue 11, 2014, Pages

  Berges, J ^a,b   Boguslavski, K ^a   Schlichting, S ^a,c   Venugopalan, R ^c  

^a INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

^b GSI HELMHOLTZZENTRUM FÜR SCHWERIONENFORSCHUNG GMBH   (Germany)

^c BROOKHAVEN NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84902956437     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.89.114007     Document Type: Article

References (113)

1. J. Berges, J.-P. Blaizot, and F. Gelis, J. Phys. G 39, 085115 (2012) JPGPED 0954-3899 10.1088/0954-3899/39/8/085115
2. P.M. Chesler and L.G. Yaffe, Phys. Rev. Lett. 102, 211601 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.211601
3. P.M. Chesler and L.G. Yaffe, Phys. Rev. D 82, 026006 (2010). PRVDAQ 1550-7998 10.1103/PhysRevD.82.026006
4. P.M. Chesler and L.G. Yaffe, Phys. Rev. Lett. 106, 021601 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.021601
5. D. Grumiller and P. Romatschke, J. High Energy Phys. 08 (2008) 027. JHEPFG 1029-8479 10.1088/1126-6708/2008/08/027
6. V. Balasubramanian, A. Bernamonti, J. de Boer, N. Copland, B. Craps, E. Keski-Vakkuri, B. Muller, A. Schafer, M. Shigemori, and W. Staessens, Phys. Rev. Lett. 106, 191601 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.191601
7. V. Balasubramanian, A. Bernamonti, J. de Boer, N. Copland, B. Craps, E. Keski-Vakkuri, B. Muller, A. Schafer, M. Shigemori, and W. Staessens, Phys. Rev. D 84, 026010 (2011). PRVDAQ 1550-7998 10.1103/PhysRevD.84.026010
8. M.P. Heller, R.A. Janik, and P. Witaszczyk, Phys. Rev. Lett. 108, 201602 (2012) PRLTAO 0031-9007 10.1103/PhysRevLett.108.201602
9. M.P. Heller, R.A. Janik, and P. Witaszczyk, Phys. Rev. D 85, 126002 (2012). PRVDAQ 1550-7998 10.1103/PhysRevD.85.126002
10. E. Iancu, A. Leonidov, and L. McLerran, arXiv:hep-ph/0202270.
11. E. Iancu and R. Venugopalan, arXiv:hep-ph/0303204.
12. F. Gelis, T. Lappi, and R. Venugopalan, Int. J. Mod. Phys. E 16, 2595 (2007). IMPEER 0218-3013 10.1142/S0218301307008331
13. F. Gelis, E. Iancu, J. Jalilian-Marian, and R. Venugopalan, Annu. Rev. Nucl. Part. Sci. 60, 463 (2010). ARPSDF 0163-8998 10.1146/annurev.nucl.010909. 083629
14. B. Schenke, P. Tribedy, and R. Venugopalan, Phys. Rev. Lett. 108, 252301 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.252301
15. B. Schenke, P. Tribedy, and R. Venugopalan, Phys. Rev. C 86, 034908 (2012). PRVCAN 0556-2813 10.1103/PhysRevC.86.034908
16. C. Gale, S. Jeon, B. Schenke, P. Tribedy, and R. Venugopalan, Phys. Rev. Lett. 110, 012302 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.012302
17. A. Bzdak, B. Schenke, P. Tribedy, and R. Venugopalan, Phys. Rev. C 87, 064906 (2013). PRVCAN 0556-2813 10.1103/PhysRevC.87.064906
18. A. Kovner, L.D. McLerran, and H. Weigert, Phys. Rev. D 52, 6231 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.52.6231
19. A. Kovner, L.D. McLerran, and H. Weigert, Phys. Rev. D 52, 3809 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.52.3809
20. A. Krasnitz and R. Venugopalan, Nucl. Phys. B557, 237 (1999). NUPBBO 0550-3213 10.1016/S0550-3213(99)00366-1
21. A. Krasnitz and R. Venugopalan, Phys. Rev. Lett. 84, 4309 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.4309
22. A. Krasnitz and R. Venugopalan, Phys. Rev. Lett. 86, 1717 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.1717 (Pubitemid 32252760)
23. A. Krasnitz, Y. Nara, and R. Venugopalan, Phys. Rev. Lett. 87, 192302 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.192302
24. A. Krasnitz, Y. Nara, and R. Venugopalan, Nucl. Phys. A717, 268 (2003). NUPABL 0375-9474 10.1016/S0375-9474(03)00636-5 (Pubitemid 36280295)
25. T. Lappi, Phys. Rev. C 67, 054903 (2003). PRVCAN 0556-2813 10.1103/PhysRevC.67.054903
26. T. Lappi, Phys. Lett. B 643, 11 (2006). PYLBAJ 0370-2693 10.1016/j.physletb.2006.10.017 (Pubitemid 44739172)
27. T. Lappi and L. McLerran, Nucl. Phys. A772, 200 (2006). NUPABL 0375-9474 10.1016/j.nuclphysa.2006.04.001 (Pubitemid 43811850)
28. T. Lappi, S. Srednyak, and R. Venugopalan, J. High Energy Phys. 01 (2010) 066. JHEPFG 1029-8479 10.1007/JHEP01(2010)066
29. T. Lappi, Phys. Lett. B 703, 325 (2011). PYLBAJ 0370-2693 10.1016/j.physletb.2011.08.011
30. J. Berges, S. Scheffler, and D. Sexty, Phys. Lett. B 681, 362 (2009). PYLBAJ 0370-2693 10.1016/j.physletb.2009.10.032
31. J. Berges, S. Schlichting, and D. Sexty, Phys. Rev. D 86, 074006 (2012). PRVDAQ 1550-7998 10.1103/PhysRevD.86.074006
32. S. Schlichting, Phys. Rev. D 86, 065008 (2012). PRVDAQ 1550-7998 10.1103/PhysRevD.86.065008
33. A. Kurkela and G.D. Moore, Phys. Rev. D 86, 056008 (2012). PRVDAQ 1550-7998 10.1103/PhysRevD.86.056008
34. K. Dusling, F. Gelis, and R. Venugopalan, Nucl. Phys. A872, 161 (2011). NUPABL 0375-9474 10.1016/j.nuclphysa.2011.09.012
35. T. Epelbaum and F. Gelis, Phys. Rev. D 88, 085015 (2013). PRVDAQ 1550-7998 10.1103/PhysRevD.88.085015
36. P. Romatschke and R. Venugopalan, Phys. Rev. Lett. 96, 062302 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.062302 (Pubitemid 43271073)
37. P. Romatschke and R. Venugopalan, Phys. Rev. D 74, 045011 (2006). PRVDAQ 1550-7998 10.1103/PhysRevD.74.045011 (Pubitemid 44232629)
38. P. Romatschke and R. Venugopalan, Eur. Phys. J. A 29, 71 (2006). EPJAFV 1434-6001 10.1140/epja/i2005-10304-y (Pubitemid 44371123)
39. K. Fukushima and F. Gelis, Nucl. Phys. A874, 108 (2012). NUPABL 0375-9474 10.1016/j.nuclphysa.2011.11.003
40. J. Berges and S. Schlichting, Phys. Rev. D 87, 014026 (2013). PRVDAQ 1550-7998 10.1103/PhysRevD.87.014026
41. A.H. Mueller and D.T. Son, Phys. Lett. B 582, 279 (2004). PYLBAJ 0370-2693 10.1016/j.physletb.2003.12.047
42. S. Jeon, Phys. Rev. C 72, 014907 (2005). PRVCAN 0556-2813 10.1103/PhysRevC.72.014907 (Pubitemid 41481602)
43. F. Gelis and T. Epelbaum, Phys. Rev. Lett. 111, 232301 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.232301
44. D. Bodeker, J. High Energy Phys. 10 (2005) 092. JHEPFG 1029-8479 10.1088/1126-6708/2005/10/092
45. A.H. Mueller, A.I. Shoshi, and S.M.H. Wong, Phys. Lett. B 632, 257 (2006). PYLBAJ 0370-2693 10.1016/j.physletb.2005.10.047 (Pubitemid 41814496)
46. A. Kurkela and G.D. Moore, J. High Energy Phys. 12 (2011) 044. JHEPFG 1029-8479 10.1007/JHEP12(2011)044
47. A. Kurkela and G.D. Moore, J. High Energy Phys. 11 (2011) 120. JHEPFG 1029-8479 10.1007/JHEP11(2011)120
48. J.-P. Blaizot, F. Gelis, J.-F. Liao, L. McLerran, and R. Venugopalan, Nucl. Phys. A873, 68 (2012). NUPABL 0375-9474 10.1016/j.nuclphysa.2011.10.005
49. R. Baier, A.H. Mueller, D. Schiff, and D.T. Son, Phys. Lett. B 502, 51 (2001). PYLBAJ 0370-2693 10.1016/S0370-2693(01)00191-5 (Pubitemid 32242144)
50. J. Berges, AIP Conf. Proc. 739, 3 (2005). APCPCS 0094-243X 10.1063/1.1843591
51. J. Berges, K. Boguslavski, S. Schlichting, and R. Venugopalan, Phys. Rev. D 89, 074011 (2014). PRVDAQ 1550-7998 10.1103/PhysRevD.89.074011
52. R. Micha and I.I. Tkachev, Phys. Rev. D 70, 043538 (2004). PRVDAQ 1550-7998 10.1103/PhysRevD.70.043538
53. J. Berges, A. Rothkopf, and J. Schmidt, Phys. Rev. Lett. 101, 041603 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.041603
54. J. Berges and G. Hoffmeister, Nucl. Phys. B813, 383 (2009). NUPBBO 0550-3213 10.1016/j.nuclphysb.2008.12.017
55. J. Berges and D. Sexty, Phys. Rev. D 83, 085004 (2011). PRVDAQ 1550-7998 10.1103/PhysRevD.83.085004
56. J. Berges and D. Sexty, Phys. Rev. Lett. 108, 161601 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.161601
57. D.V. Semikoz and I.I. Tkachev, Phys. Rev. Lett. 74, 3093 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.74.3093
58. D.V. Semikoz and I.I. Tkachev, Phys. Rev. D 55, 489 (1997). PRVDAQ 0556-2821 10.1103/PhysRevD.55.489
59. C. Scheppach, J. Berges, and T. Gasenzer, Phys. Rev. A 81, 033611 (2010). PLRAAN 1050-2947 10.1103/PhysRevA.81.033611
60. B. Nowak, D. Sexty, and T. Gasenzer, Phys. Rev. B 84, 020506 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.020506
61. B. Nowak, J. Schole, D. Sexty, and T. Gasenzer, Phys. Rev. A 85, 043627 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.043627
62. B. Nowak, S. Erne, M. Karl, J. Schole, D. Sexty, and T. Gasenzer, arXiv:1302.1448.
63. M. Karl, B. Nowak, and T. Gasenzer, Phys. Rev. A 88, 063615 (2013). PLRAAN 1050-2947 10.1103/PhysRevA.88.063615
64. F. Gelis and R. Venugopalan, Nucl. Phys. A776, 135 (2006). NUPABL 0375-9474 10.1016/j.nuclphysa.2006.07.020 (Pubitemid 44309362)
65. F. Gelis and R. Venugopalan, Nucl. Phys. A779, 177 (2006). NUPABL 0375-9474 10.1016/j.nuclphysa.2006.08.015 (Pubitemid 44597284)
66. F. Gelis, T. Lappi, and R. Venugopalan, Phys. Rev. D 78, 054019 (2008). PRVDAQ 1550-7998 10.1103/PhysRevD.78.054019
67. F. Gelis, T. Lappi, and R. Venugopalan, Phys. Rev. D 78, 054020 (2008). PRVDAQ 1550-7998 10.1103/PhysRevD.78.054020
68. F. Gelis, T. Lappi, and R. Venugopalan, Phys. Rev. D 79, 094017 (2009). PRVDAQ 1550-7998 10.1103/PhysRevD.79.094017
69. I. Balitsky, Nucl. Phys. B463, 99 (1996). NUPBBO 0550-3213 10.1016/0550-3213(95)00638-9 (Pubitemid 126169611)
70. J. Jalilian-Marian, A. Kovner, A. Leonidov, and H. Weigert, Phys. Rev. D 59, 014014 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.59.014014
71. J. Jalilian-Marian, A. Kovner, and H. Weigert, Phys. Rev. D 59, 014015 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.59.014015
72. E. Iancu, A. Leonidov, and L.D. McLerran, Nucl. Phys. A692, 583 (2001). NUPABL 0375-9474 10.1016/S0375-9474(01)00642-X (Pubitemid 33377998)
73. E. Ferreiro, E. Iancu, A. Leonidov, and L. McLerran, Nucl. Phys. A703, 489 (2002). NUPABL 0375-9474 10.1016/S0375-9474(01)01329-X
74. K. Dusling, T. Epelbaum, F. Gelis, and R. Venugopalan, Nucl. Phys. A850, 69 (2011). NUPABL 0375-9474 10.1016/j.nuclphysa.2010.11.009
75. T. Epelbaum and F. Gelis, Nucl. Phys. A872, 210 (2011). NUPABL 0375-9474 10.1016/j.nuclphysa.2011.09.019
76. K. Dusling, T. Epelbaum, F. Gelis, and R. Venugopalan, Phys. Rev. D 86, 085040 (2012). PRVDAQ 1550-7998 10.1103/PhysRevD.86.085040
77. S. Jeon, Ann. Phys. (Amsterdam) 340, 119 (2014). APNYA6 0003-4916 10.1016/j.aop.2013.09.019
78. A. Dumitru, F. Gelis, L. McLerran, and R. Venugopalan, Nucl. Phys. A810, 91 (2008). NUPABL 0375-9474 10.1016/j.nuclphysa.2008.06.012
79. K. Dusling, F. Gelis, T. Lappi, and R. Venugopalan, Nucl. Phys. A836, 159 (2010). NUPABL 0375-9474 10.1016/j.nuclphysa.2009.12.044
80. K. Fukushima, D.E. Kharzeev, and H.J. Warringa, Phys. Rev. D 78, 074033 (2008). PRVDAQ 1550-7998 10.1103/PhysRevD.78.074033
81. D.E. Kharzeev and H.J. Warringa, Phys. Rev. D 80, 034028 (2009). PRVDAQ 1550-7998 10.1103/PhysRevD.80.034028
82. D.E. Kharzeev and H.-U. Yee, Phys. Rev. D 83, 085007 (2011). PRVDAQ 1550-7998 10.1103/PhysRevD.83.085007
83. G. Basar, G.V. Dunne, and D.E. Kharzeev, Phys. Rev. Lett. 104, 232301 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.232301
84. G. Aarts and J. Berges, Phys. Rev. Lett. 88, 041603 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.041603
85. J. Berges and T. Gasenzer, Phys. Rev. A 76, 033604 (2007). PLRAAN 1050-2947 10.1103/PhysRevA.76.033604 (Pubitemid 47429373)
86. A. Arrizabalaga, J. Smit, and A. Tranberg, J. High Energy Phys. 10 (2004) 017. JHEPFG 1029-8479 10.1088/1126-6708/2004/10/017
87. J. Berges, D. Gelfand, and J. Pruschke, Phys. Rev. Lett. 107, 061301 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.061301
88. J. Berges, D. Gelfand, and D. Sexty, Phys. Rev. D 89, 025001 (2014). PRVDAQ 1550-7998 10.1103/PhysRevD.89.025001
89. J. Berges, D. Gelfand, S. Scheffler, and D. Sexty, Phys. Lett. B 677, 210 (2009). PYLBAJ 0370-2693 10.1016/j.physletb.2009.05.008
90. J. Berges, S. Scheffler, and D. Sexty, Phys. Rev. D 77, 034504 (2008). PRVDAQ 1550-7998 10.1103/PhysRevD.77.034504
91. A. Cucchieri and T. Mendes, Nucl. Phys. b471, 263 (1996). NUPBBO 0550-3213 10.1016/0550-3213(96)00177-0
92. M.E. Peskin and D.V. Schroeder, An Introduction to Quantum Field Theory (Addison-Wesley, Reading, MA, 1995).
93. P.B. Arnold, G.D. Moore, and L.G. Yaffe, J. High Energy Phys. 01 (2003) 030. JHEPFG 1029-8479 10.1088/1126-6708/2003/01/030
94. S.Y..Khlebnikov and I.I. Tkachev, Phys. Rev. Lett. 77, 219 (1996) [hep-ph/9603378]. PRLTAO 0031-9007 10.1103/PhysRevLett.77.219
95. U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, England, 1996).
96. V.E. Zakharov, V.S. Lvov, and G. Falkovich, Kolmogorov Spectra of Turbulence I: Wave Turbulence (Springer, New York, 1992).
97. P.B. Arnold and G.D. Moore, Phys. Rev. D 73, 025006 (2006). PRVDAQ 1550-7998 10.1103/PhysRevD.73.025006
98. P.B. Arnold and G.D. Moore, Phys. Rev. D 73, 025013 (2006). PRVDAQ 1550-7998 10.1103/PhysRevD.73.025013
99. A.H. Mueller, A.I. Shoshi, and S.M.H. Wong, Nucl. Phys. B760, 145 (2007). NUPBBO 0550-3213 10.1016/j.nuclphysb.2006.10.023 (Pubitemid 44817511)
100. G.D. Moore, J. High Energy Phys. 11 (2001) 021. JHEPFG 1029-8479 10.1088/1126-6708/2001/11/021
101. N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group, Frontiers in Physics (Westview Press, Boulder, CO, 1992), Vol. 85.
102. R. Baier, A.H. Mueller, D. Schiff, and D.T. Son, Phys. Lett. B 539, 46 (2002). PYLBAJ 0370-2693 10.1016/S0370-2693(02)02037-3
103. R. Baier, A.H. Mueller, D. Schiff, and D.T. Son, arXiv:1103.1259
104. B. Schenke, P. Tribedy, and R. Venugopalan (to be published).
105. W. Florkowski, M. Martinez, R. Ryblewski, and M. Strickland, Proc. Sci., ConfinementX (2012) 221. 1824-8039
106. W. Florkowski, R. Ryblewski, and M. Strickland, Nucl. Phys. A916, 249 (2013). NUPABL 0375-9474 10.1016/j.nuclphysa.2013.08.004
107. J.-P. Blaizot, J. Liao, and L. McLerran, Nucl. Phys. A920, 58 (2013). NUPABL 0375-9474 10.1016/j.nuclphysa.2013.10.010
108. X.-G. Huang and J. Liao, arXiv:1303.7214.
109. J.-P. Blaizot, E. Iancu, and Y. Mehtar-Tani, Phys. Rev. Lett. 111, 052001 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.052001
110. E. Iancu, arXiv:1305.7023.
111. A. Makhlin, arXiv:hep-ph/9608261.
112. A. Cucchieri, Nucl. Phys. B508, 353 (1997). NUPBBO 0550-3213 10.1016/S0550-3213(97)80016-8
113. A. Cucchieri, Nucl. Phys. B508, 353 (1997). NUPBBO 0550-3213 10.1016/S0550-3213(97)80016-8