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.

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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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通讯作者: 陈斌, bchen63@163.com

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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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