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arXiv · 0911.4601

Hard-thermal-loop QED thermodynamics

Nan Su·Jens O. Andersen·Michael Strickland
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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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Nan Su, Jens O. Andersen, Michael Strickland. 2009-11-24. Hard-thermal-loop QED thermodynamics. https://doi.org/10.1088/1674-1137/34/9/091

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