Hard-thermal-loop QED thermodynamics

SU Nan; Jens O; Michael Strickland

doi:10.1088/1674-1137/34/9/091

Chinese Physics C> 2010, Vol. 34> Issue(9) : 1527-1529 DOI: 10.1088/1674-1137/34/9/091

Hard-thermal-loop QED thermodynamics

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Abstract：
The weak-coupling expansion for thermodynamic quantities in thermal field theories is poorly convergent unless the coupling constant is tiny. We discuss the calculation of the free energy for a hot gas of electrons and photons to three-loop order using hard-thermal-loop perturbation theory (HTLpt). We show that the hard-thermal-loop perturbation reorganization improves the convergence of the successive approximations to the QED free energy at large coupling, e~2. The reorganization is gauge invariant by construction, and due to the cancellations among various contributions, we obtain a completely analytic result for the resummed thermodynamic potential at three loops.

References

[1]

. Frenkel J, Saa A V, Taylor J C. Phys. Rev. D, 1992, 46:36702. Arnold P, Zhai C X. Phys. Rev. D, 1994, 50: 7603; Phys.Rev. D, 1995, 51: 19063. Parwani R R, Coriano C. Nucl. Phys. B, 1995, 434: 564. Parwani R, Singh H. Phys. Rev. D, 1995,51: 45185. Braaten E, Nieto A. Phys. Rev. D, 1995, 51: 69906. Parwani R R. Phys. Lett. B, 1994, 334: 420; [Erratum-ibid.B, 1995, 342: 454]7. Andersen J O. Phys. Rev. D, 1996, 53: 72868. ZHAI C X, Kastening B M. Phys. Rev. D, 1995, 52: 72329. raaten E , Nieto A. Phys. Rev. Lett., 1996, 76:1417; Phys.Rev. D, 1996, 53: 342110. Kajantie K, Laine M, Rummukainen K, Schroder Y. Phys.Rev. D, 2003, 67: 10500811. Gynther A, Laine M, Schroder Y, Torrero C, Vuorinen A.JHEP , 2007, 0704: 09412. Andersen J O, Kyllingstad L, Leganger L, E. JHEP, 2009,0908: 06613. Blaizot J P, Iancu E, Rebhan A. arXiv:hep-ph/030318514. Kraemmer U, Rebhan A. Rept. Prog. Phys., 2004, 67: 35115. Andersen J O, Strickland M. Annals Phys., 2005, 317: 28116. Andersen J O, Braaten E, trickland M. Phys. Rev. Lett.,1999, 83: 2139; Phys. Rev. D, 2000, 61: 014017; Phys.Rev. D, 2000, 61: 07401617. Andersen J O, Strickland M. Phys. Rev. D, 2001, 64:10501218. Andersen J O, E. Braaten, Petitgirard E, Strickland M.Phys. Rev. D, 2002, 66: 085016; Andersen J O, PetitgirardE, Strickland M. Phys. Rev. D, 2004, 70: 04500119. Yukalov V I, Moscow Univ. Phys. Bull., 1976, 31: 1020. Stevenson P M. Phys. Rev. D, 1981, 23: 291621. Kleinert H. Path Integrals in Quantum Mechanics, Statis-tics, and Polymer Physics. 2nd edition, World Scienti cPublishing Co., Singapore, (1995); Sisakian A N, SolovtsovI L, Shevchenko O, Int. J. Mod. Phys. A, 1994, 9: 1929 ;Janke W, Kleinert H. Phys. Rev. Lett., 1995, 75: 278722. Duncan A, Moshe M. Phys. Lett. B, 1988, 215: 352; Dun-can A. Phys. Rev. D, 1993, 47: 256023. Karsch F, Patkos A, Petreczky P. Phys. Lett. B,1997, 401:6924. Chiku S, Hatsuda T. Phys. Rev. D, 1998, 58: 07600125. Andersen J O, Braaten E, Strickland M. Phys. Rev. D,2001, 63: 10500826. Andersen J O, Kyllingstad L. Phys. Rev. D, 2008, 78:07600827. Andersen J O, Strickland M, SU N. Phys. Rev. D, 2009,80: 08501528. Blaizot J P, Iancu E, Parwani R R. Phys. Rev. D, 1995,52: 254329. Carrington M E, Gynther A, Pickering D. Phys. Rev. D,2008, 78: 04501830. Andersen J O, Strickland M. Phys. Rev. D, 2005, 71:02501131. Andersen J O, Strickland M, SU N. arXiv:0911.0676 [hep-ph]32. Boyd G, Engels J, Karsch F, Laermann E, Legeland C, Lut-gemeier M, Petersson M. Nucl. Phys. B, 1996, 469: 419

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SU Nan, Jens O and Michael Strickland. Hard-thermal-loop QED thermodynamics[J]. Chinese Physics C, 2010, 34(9): 1527-1529. doi: 10.1088/1674-1137/34/9/091

SU Nan, Jens O and Michael Strickland. Hard-thermal-loop QED thermodynamics[J]. Chinese Physics C, 2010, 34(9): 1527-1529. doi: 10.1088/1674-1137/34/9/091 shu

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Received: 2010-02-09
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沈阳化工大学材料科学与工程学院沈阳 110142

Hard-thermal-loop QED thermodynamics

Corresponding author: SU Nan,

Received Date: 2010-02-09

Accepted Date: 1900-01-01

Available Online: 2010-09-05

Abstract:

The weak-coupling expansion for thermodynamic quantities in thermal field theories is poorly convergent unless the coupling constant is tiny. We discuss the calculation of the free energy for a hot gas of electrons and photons to three-loop order using hard-thermal-loop perturbation theory (HTLpt). We show that the hard-thermal-loop perturbation reorganization improves the convergence of the successive approximations to the QED free energy at large coupling, e~2. The reorganization is gauge invariant by construction, and due to the cancellations among various contributions, we obtain a completely analytic result for the resummed thermodynamic potential at three loops.

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Hard-thermal-loop QED thermodynamics

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