Nonlinear amplification of instabilities with longitudinal expansion

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 85, Issue 7, 2012, Pages

  Berges, Jürgen ^a,b   Boguslavski, Kirill ^c   Schlichting, Sören ^a,c  

^a INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

^b GSI HELMHOLTZZENTRUM FÜR SCHWERIONENFORSCHUNG GMBH   (Germany)

^c DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84860135243     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.85.076005     Document Type: Article

References (47)

1. A. Kurkela and G.D. Moore, J. High Energy Phys. JHEPFG 1029-8479 11 (2011) 120; 10.1007/JHEP11(2011)120
2. A. Kurkela G.D. Moore J. High Energy Phys. JHEPFG 1029-8479 12 (2011) 044. 10.1007/JHEP12(2011)044
3. P. Romatschke and R. Venugopalan, Phys. Rev. Lett. 96, 062302 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.96.062302 (Pubitemid 43271073)
4. P. Romatschke R. Venugopalan Phys. Rev. D PRVDAQ 1550-7998 74, 045011 (2006). 10.1103/PhysRevD.74.045011 (Pubitemid 44232629)
5. J. Berges, S. Scheffler, and D. Sexty, Phys. Rev. D PRVDAQ 1550-7998 77, 034504 (2008); 10.1103/PhysRevD.77.034504
6. J. Berges S. Scheffler D. Sexty Phys. Lett. B 681, 362 (2009); PYLBAJ 0370-2693 10.1016/j.physletb.2009.10.032
7. 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
8. T. Kunihiro, B. Muller, A. Ohnishi, A. Schafer, T.T. Takahashi, and A. Yamamoto, Phys. Rev. D PRVDAQ 1550-7998 82, 114015 (2010). 10.1103/PhysRevD.82. 114015
9. K. Fukushima and F. Gelis, Nucl. Phys. NUPABL 0375-9474 A874, 108 (2012). 10.1016/j.nuclphysa.2011.11.003
10. A. Rebhan, P. Romatschke, and M. Strickland, Phys. Rev. Lett. 94, 102303 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.94.102303 (Pubitemid 40618392)
11. P. Arnold, G.D. Moore, and L.G. Yaffe, Phys. Rev. D PRVDAQ 1550-7998 72, 054003 (2005); 10.1103/PhysRevD.72.054003 (Pubitemid 43036951)
12. A. Rebhan, P. Romatschke, and M. Strickland, J. High Energy Phys. JHEPFG 1029-8479 09 (2005) 041; 10.1088/1126-6708/2005/09/041
13. P. Romatschke and A. Rebhan, Phys. Rev. Lett. 97, 252301 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.97.252301 (Pubitemid 44956480)
14. P. Arnold and G.D. Moore, Phys. Rev. D PRVDAQ 1550-7998 73, 025006 (2006); 10.1103/PhysRevD.73.025006
15. P. Arnold G.D. Moore Phys. Rev. D PRVDAQ 1550-7998 73, 025013 (2006); 10.1103/PhysRevD.73.025013
16. D. Bödeker and K. Rummukainen, J. High Energy Phys. JHEPFG 1029-8479 07 (2007) 022; 10.1088/1126-6708/2007/07/022
17. A. Rebhan, M. Strickland, and M. Attems, Phys. Rev. D PRVDAQ 1550-7998 78, 045023 (2008); 10.1103/PhysRevD.78.045023
18. A. Rebhan and D. Steineder, Phys. Rev. D PRVDAQ 1550-7998 81, 085044 (2010); 10.1103/PhysRevD.81.085044
19. A. Ipp, A. Rebhan, and M. Strickland, Phys. Rev. D PRVDAQ 1550-7998 84, 056003 (2011). 10.1103/PhysRevD.84.056003
20. A. Dumitru, Y. Nara, and M. Strickland, Phys. Rev. D PRVDAQ 1550-7998 75, 025016 (2007); 10.1103/PhysRevD.75.025016
21. A. Dumitru Y. Nara M. Strickland Phys. Rev. D PRVDAQ 1550-7998 75, 025016 (2007); 10.1103/PhysRevD.75.025016
22. A. Dumitru and Y. Nara, Phys. Lett. B 621, 89 (2005). PYLBAJ 0370-2693 10.1016/j.physletb.2005.06.041 (Pubitemid 41022665)
23. J. Berges and J. Serreau, Phys. Rev. Lett. 91, 111601 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.111601
24. J. Berges, AIP Conf. Proc. 739, 3 (2004); APCPCS 0094-243X 10.1063/1.1843591
25. J. Berges arXiv:hep-ph/0409233.
26. H. Fujii, K. Itakura, and A. Iwazaki, Nucl. Phys. NUPABL 0375-9474 A828, 178 (2009). 10.1016/j.nuclphysa.2009.06.020
27. G. Baym, Phys. Rev. 127, 1391 (1962); PHRVAO 0031-899X 10.1103/PhysRev.127.1391
28. J.M. Cornwall, R. Jackiw, and E. Tomboulis, Phys. Rev. D PRVDAQ 0556-2821 10, 2428 (1974). 10.1103/PhysRevD.10.2428
29. J. Berges, Nucl. Phys. NUPABL 0375-9474 A699, 847 (2002); 10.1016/S0375-9474(01)01295-7
30. G. Aarts, D. Ahrensmeier, R. Baier, J. Berges, and J. Serreau, Phys. Rev. D PRVDAQ 0556-2821 66, 045008 (2002). 10.1103/PhysRevD.66.045008 (Pubitemid 44861190)
31. A. Tranberg, J. High Energy Phys. JHEPFG 1029-8479 11 (2008) 037. 10.1088/1126-6708/2008/11/037
32. J. Berges and S. Roth, Nucl. Phys. NUPBBO 0550-3213 B847, 197 (2011) 10.1016/j.nuclphysb.2011.01.024
33. Y. Hatta and A. Nishiyama, Nucl. Phys. NUPABL 0375-9474 A873, 47 (2012). 10.1016/j.nuclphysa.2011.10.007
34. G. Aarts and J. Berges, Phys. Rev. Lett. 88, 041603 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.041603
35. A. Arrizabalaga, J. Smit, and A. Tranberg, J. High Energy Phys. JHEPFG 1029-8479 10 (2004) 017. 10.1088/1126-6708/2004/10/017
36. J. Berges, A. Rothkopf, and J. Schmidt, Phys. Rev. Lett. 101, 041603 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.041603
37. K. Dusling, F. Gelis, and R. Venugopalan, Nucl. Phys. NUPABL 0375-9474 A872, 161 (2011). 10.1016/j.nuclphysa.2011.09.012
38. J.-P. Blaizot, F. Gelis, J. Liao, L. McLerran, and R. Venugopalan, Nucl. Phys. NUPABL 0375-9474 A873, 68 (2012). 10.1016/j.nuclphysa.2011.10.005
39. J. Berges and D. Sexty, arXiv:1201.0687.
40. K. Dusling, T. Epelbaum, F. Gelis, and R. Venugopalan, Nucl. Phys. NUPABL 0375-9474 A850, 69 (2011); 10.1016/j.nuclphysa.2010.11.009
41. T. Epelbaum and F. Gelis, Nucl. Phys. NUPABL 0375-9474 A872, 210 (2011). 10.1016/j.nuclphysa.2011.09.019
42. C. Scheppach, J. Berges, and T. Gasenzer, Phys. Rev. A 81, 033611 (2010); PLRAAN 1050-2947 10.1103/PhysRevA.81.033611
43. B. Nowak, D. Sexty, and T. Gasenzer, Phys. Rev. B PRBMDO 1098-0121 84, 020506 (2011); 10.1103/PhysRevB.84.020506
44. B. Nowak, J. Schole, D. Sexty, and T. Gasenzer, arXiv:1111.6127.
45. D. Boyanovski, H.J. Vega, R. Holman, and J.F.J. Salgado, arXiv:9608205v2.
46. M. Abramowitz, and I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, New York, 1965), p. 587.
47. E.L. Ince, Ordinary Differential Equations (Dover, New York, 1944).