Three-loop HTL gluon thermodynamics at intermediate coupling

Journal of High Energy Physics

Volumn 2010, Issue 8, 2010, Pages

  Andersen, Jens O ^a   Strickland, Michael ^b,c   Su, Nan ^c  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b GETTYSBURG COLLEGE   (United States)

^c FRANKFURT INSTITUTE FOR ADVANCED STUDIES   (Germany)

Author keywords

NLO Computations; Thermal Field Theory

Indexed keywords

EID: 84892708772     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP08(2010)113     Document Type: Article

References (72)

1. BRAHMS collaboration, I. Arsene et al., Quark gluon plasma an color glass condensate at RHIC? The perspective from the BRAHMS experiment, Nucl. Phys. A 757 (2005) 1 [nucl-ex/0410020].
2. B.B. Back et al., The PHOBOS perspective on discoveries at RHIC, Nucl. Phys. A 757 (2005) 28 [nucl-ex/0410022].
3. STAR collaboration, J. Adams et al., Experimental and theoretical challenges in the search for the quark gluon plasma: The STAR collaboration's critical assessment of the evidence from RHIC collisions, Nucl. Phys. A 757 (2005) 102 [nucl-ex/0501009]
4. PHENIX collaboration, K. Adcox et al., Formation of dense partonic matter in relativistic nucleus nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration, Nucl. Phys. A 757 (2005) 184 [nucl-ex/0410003].
5. M. Gyulassy and L. McLerran, New forms of QCD matter discovered at RHIC, Nucl. Phys. A 750 (2005) 30 [nucl-th/0405013].
6. G.-Y. Qin et al., Radiative and collisional jet energy loss in the quark-gluon plasma at RHIC, Phys. Rev. Lett. 100 (2008) 072301 [arXiv:0710.0605].
7. G.-Y. Qin and A. Majumder, A pQCD-based description of heavy and light flavor jet quenching, [arXiv: 0910. 3016].
8. Z. Xu, C. Greiner and H. Stocker, PQCD calculations of elliptic flow and shear viscosity at RHIC, Phys. Rev. Lett. 100 (2008) 172301 [arXiv:0711.0961].
9. E.V. Shuryak, Theory of hadronic plasma, Sov. Phys. JETP 47 (1978) 212
10. [Zh. Eksp. Teor. Fiz. 74 (1978) 408].
11. T. Toimela, Perturbative QED and QCD at finite temperatures and densities, Int. J. Theor. Phys. 24 (1985) 901
12. [Erratum ibid. 26 (1987) 1021].
13. P.B. Arnold and C.-X. Zhai, The three loop free energy for pure gauge QCD, Phys. Rev. D 50 (1994) 7603 [hep-ph/9408276].
14. P.B. Arnold and C.-x. Zhai, The three loop free energy for high temperature QED and QCD with fermions, Phys. Rev. D 51 (1995) 1906 [hep-ph/9410360].
15. R.R. Parwani, The free energy of hot QED at fifth order, Phys. Lett. B 334 (1994) 420
16. [Erratum ibid. B 342 (1995) 454] [hep-ph/9406318].
17. R.R. Parwani and C. Coriano, Higher order corrections to the equation of state of QED at high temperature, Nucl. Phys. B 434 (1995) 56 [hep-ph/9409269].
18. 5, Phys. Rev. D 51 (1995) 4518 [hep-th/9411065].
19. E. Braaten and A. Nieto, Effective field theory approach to high temperature thermodynamics, Phys. Rev. D 51 (1995) 6990 [hep-ph/9501375].
20. E. Braaten and A. Nieto, On the convergence of perturbative QCD at high temperature, Phys. Rev. Lett. 76 (1996) 1417 [hep-ph/9508406].
21. E. Braaten and A. Nieto, Free energy of QCD at high temperature, Phys. Rev. D 53 (1996) 3421 [hep-ph/9510408].
22. J.O. Andersen, The free energy of high temperature QED to order e 5 from effective field theory, Phys. Rev. D 53 (1996) 7286 [hep-ph/9509409]
23. 5, Phys. Rev. D 52 (1995) 7232 [hep-ph/9507380].
24. 6ln(1/g), Phys. Rev. D 67 (2003) 105008 [hep-ph/0211321].
25. A. Gynther, M. Laine, Y. Schroder, C. Torrero and A. Vuorinen, Four-loop pressure of massless O(N) scalar field theory, JHEP 04 (2007) 094 [hep-ph/0703307].
26. 4 theory at weak coupling, JHEP 08 (2009) 066 [arXiv:0903.4596].
27. E. Braaten and R.D. Pisarski, Soft amplitudes in hot gauge theories: A general analysis, Nucl. Phys. B 337 (1990) 569.
28. J.-P. Blaizot, E. Iancu and A. Rebhan, Thermodynamics of the high-temperature quark gluon plasma, hep-ph/0303185.
29. U. Kraemmer and A. Rebhan, Advances in perturbative thermal field theory, Rept. Prog. Phys. 67 (2004) 351 [hep-ph/0310337].
30. J.O. Andersen and M. Strickland, Resummation in hot field theories, Ann. Phys. 317 (2005) 281 [hep-ph/0404164].
31. J.O. Andersen, E. Braaten and M. Strickland, Hard-thermal-loop resummation of the free energy of a hot gluon plasma, Phys. Rev. Lett. 83 (1999) 2139 [hep-ph/9902327].
32. J.O. Andersen, E. Braaten and M. Strickland, Hard-thermal-loop resummation of the thermodynamics of a hot gluon plasma, Phys. Rev. D 61 (2000) 014017 [hep-ph/9905337].
33. J.O. Andersen, E. Braaten and M. Strickland, Hard-thermal-loop resummation of the free energy of a hot quark-gluon plasma, Phys. Rev. D 61 (2000) 074016 [hep-ph/9908323].
34. J.O. Andersen, E. Braaten, E. Petitgirard and M. Strickland, HTL perturbation theory to two loops, Phys. Rev. D 66 (2002) 085016 [hep-ph/0205085].
35. J.O. Andersen, E. Petitgirard and M. Strickland, Two-loop HTL thermodynamics with quarks, Phys. Rev. D 70 (2004) 045001 [hep-ph/0302069].
36. J.O. Andersen, M. Strickland and N. Su, Three-loop HTL free energy for QED, Phys. Rev. D 80 (2009) 085015 [arXiv:0906.2936].
37. M. Strickland, N. Su and J.O. Andersen, QED thermodynamics at intermediate coupling, Acta Phys. Polon. Supp. 3 (2010) 727 [arXiv:0910.3860].
38. N. Su, J.O. Andersen and M. Strickland, Hard-thermal-loop QED thermodynamics, Chin. Phys. C 34 (2010) 1527 [arXiv:0911.4601].
39. J.O. Andersen, M. Strickland and N. Su, Gluon thermodynamics at intermediate coupling, Phys. Rev. Lett. 104 (2010) 122003 [arXiv:0911.0676].
40. V.I. Yukalov, Remarks on quasiaverages, Teor. Mat. Fiz. 26 (1976) 403.
41. V.I. Yukalov, Model of a hybrid crystal, Teor. Mat. Fiz. 28 (1976) 92.
42. P.M. Stevenson, Optimized perturbation theory, Phys. Rev. D 23 (1981) 2916.
43. A. Duncan and M. Moshe, Nonperturbative physics from interpolating actions, Phys. Lett. B 215 (1988) 352.
44. A. Duncan and H.F. Jones, Convergence proof for optimized expansion: The Anharmonic oscillator, Phys. Rev. D 47 (1993) 2560.
45. H. Kleinert, Path integrals in quantum mechanics, statistics, and Polymer physics, 2nd edition, World Scientific Publishing Co., Singapore (1995).
46. A.N. Sisakian, I.L. Solovtsov and O. Shevchenko, Variational perturbation theory, Int. J. Mod. Phys. A 9 (1994) 1929.
47. W. Janke and H. Kleinert, Convergent strong-coupling expansions from divergent weak-coupling perturbation theory, Phys. Rev. Lett. 75 (1995) 2787.
48. F. Karsch, A. Patkos and P. Petreczky, Screened perturbation theory, Phys. Lett. B 401 (1997) 69 [hep-ph/9702376].
49. S. Chiku and T. Hatsuda, Optimized perturbation theory at finite temperature, Phys. Rev. D 58 (1998) 076001 [hep-ph/9803226].
50. J.O. Andersen, E. Braaten and M. Strickland, Screened perturbation theory to three loops, Phys. Rev. D 63 (2001) 105008 [hep-ph/0007159].
51. J.O. Andersen and M. Strickland, Mass expansions of screened perturbation theory, Phys. Rev. D 64 (2001) 105012 [hep-ph/0105214].
52. J.O. Andersen and L. Kyllingstad, Four-loop screened perturbation theory, Phys. Rev. D 78 (2008) 076008 [arXiv:0805.4478].
53. E. Braaten and R.D. Pisarski, Simple effective Lagrangian for hard thermal loops, Phys. Rev. D 45 (1992) 1827.
54. W. Buchmüller and O. Philipsen, Phase structure and phase transition of the SU(2) Higgs model in three-dimensions, Nucl. Phys. B 443 (1995) 47 [hep-ph/9411334].
55. G. Alexanian and V.P. Nair, A selfconsistent inclusion of magnetic screening for the quark-gluon plasma, Phys. Lett. B 352 (1995) 435 [hep-ph/9504256].
56. G. Boyd et al., Thermodynamics of SU(3) lattice gauge theory, Nucl. Phys. B 469 (1996) 419 [hep-lat/9602007].
57. G. Endrodi, Z. Fodor, S.D. Katz and K.K. Szabo, The equation of state at high temperatures from lattice QCD, PoS(LATTICE 2007)228 [arXiv:0710.4197].
58. M. Panero, Thermodynamics of the QCD plasma and the large-N limit, Phys. Rev. Lett. 103 (2009) 232001 [arXiv:0907.3719].
59. c plasma, arXiv:1006.0938.
60. R.D. Pisarski, Quark-gluon plasma as a condensate of SU(3) Wilson lines, Phys. Rev. D 62 (2000) 111501 [hep-ph/0006205].
61. K.-I. Kondo, Vacuum condensate of mass dimension 2 as the origin of mass gap and quark confinement, Phys. Lett. B 514 (2001) 335 [hep-th/0105299].
62. R.D. Pisarski, Notes on the deconfining phase transition, hep-ph/0203271.
63. R.D. Pisarski, Fuzzy bags and Wilson lines, Prog. Theor. Phys. Suppl. 168 (2007) 276 [hep-ph/0612191].
64. S. Narison and V.I. Zakharov, Duality between QCD perturbative series and power corrections, Phys. Lett. B 679 (2009) 355 [arXiv:0906.4312].
65. E. Megias, E. Ruiz Arriola and L.L. Salcedo, Trace anomaly, thermal power corrections and dimension two condensates in the deconfined phase, Phys. Rev. D 80 (2009) 056005 [arXiv:0903.1060].
66. E. Megias, E.R. Arriola and L.L. Salcedo, Correlations between perturbation theory and power corrections in QCD at zero and finite temperature, Phys. Rev. D 81 (2010) 096009 [arXiv:0912.0499].
67. O. Andreev, Some thermodynamic aspects of pure glue, fuzzy bags and gauge/string duality, Phys. Rev. D 76 (2007) 087702 [arXiv:0706.3120].
68. S.S. Gubser and A. Nellore, Mimicking the QCD equation of state with a dual black hole, Phys. Rev. D 78 (2008) 086007 [arXiv:0804.0434].
69. S.S. Gubser, A. Nellore, S.S. Pufu and F.D. Rocha, Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics, Phys. Rev. Lett. 101 (2008) 131601 [arXiv:0804.1950].
70. c) gauge theories using the gauge-string duality, Phys. Rev. D 81 (2010) 045011 [arXiv: 0910.1261].
71. A.K. Rebhan, The NonAbelian Debye mass at next-to-leading order, Phys. Rev. D 48 (1993) 3967 [hep-ph/9308232].
72. S#INF#D#/INF# to four loops, Z. Phys. C 54 (1992) 599.