The Soft Quark Dispersion Relations at Next-to-Leading Order in Hot QCD

Abstract

We give a compact analytic expression for the fully-dressed next-to-leading order contribution to the retarded quark self-energy in the context of hard-thermal-loop summed perturbation of massless QCD at high temperature. We also give the analytic expressions of the hard thermal loop vertex functions. The calculation is done using the real-time formalism.

Keywords

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(IJCESEN)

Öz

Kaynakça

1. E Witten, Phys. Rev. D30, 272 (1984); D.N.
2. Schramrn, Nucl. Phys. 8252, 53 (1985).
3. E.V. Shuryak, Phys. Rep. 61, 71 (1980).
4. See "Status of perturbative thermal QCD", Physica A.158 (1989).
5. K. Kajantie and J. Kapusta, Ann. Phys. 160,477 (1985).
6. U. Heinz, K. Kajantie, and T. Toimela, Phys. Lett. B 183, 96 (1987).
7. U. Heinz, K. Kajantie, and T. Toirnela, Ann. Phys. L76,218 (19S7). T.H. Hansson and I. Zahed, Phys. Rev. Lett. 58,2397 (1987).
8. H.-Th . Elze, U. Heinz, K. Kajantie, and T. Toimela, Z. Phys. C 37 ,305 (1988).

9. E. Braaten and R.D. Pisarski, Nucl. Phys. B337 (1990) 569.
10. M. Le Bellac, Thermal Field Theory, Cambridge University Press, 1996.
11. E. Braaten and R.D. Pisarski, Phys. Rev. D42 (1990) R2156.
12. Abada, O. Azi and K. Benchallal, Phys. Lett. B425 (1998) 158.
13. A. Abada, O. Azi, Phys. Lett. B463 (1999) 117.
14. A. Abada, K. Bouakaz and O. Azi, Phys. Scr. 74 (2006) 77.
15. A. Abada, K. Bouakaz and N. Daira-Aifa, Eur. Phys. J. C18 (2001) 765
16. A. Abada, N. Daira Aifa and K. Bouakaz, Int.J.Mod.Phys.A21(2006) 5317.
17. K. Bouakaz, A. Abada AIP Conf.Proc.1006:150- 153,2008.
18. A. Abada, K. Bouakaz and D. Deghiche, Mod.Phys.Lett.A22 (2007)903-914.
19. A. Abada and K. Bouakaz, JHEP01 (2006) 161.
20. Y. Fueki, H. Nakkagawa, H. Yokota and K. Yoshida, Prog.Theor.Phys.107:759-784,2002.
21. M. E. Carrington, T. Fugleberg, D. S. Irvine, D. Pickering, Eur.Phys.J.C50:711-727,2007.
22. M. E. Carrington, Phys.Rev.D75:045019,2007.
23. K. Bouakaz and A. Abada, AIP Conf. Proc. 1444 (2012) 167-170.