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arXiv · 0906.2936

Three-loop HTL Free Energy for QED

Jens O. Andersen·Michael Strickland·Nan Su
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Abstract

We calculate the free energy of a hot gas of electrons and photons to three loops using the hard-thermal-loop perturbation theory reorganization of finite-temperature perturbation theory. We calculate the free energy through three loops by expanding in a power series in m_D/T, m_f/T, and e^2, where m_D and m_f are thermal masses and e is the coupling constant. We demonstrate 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 cancellation among various contributions, we obtain a completely analytic result for the resummed thermodynamic potential at three loops. Finally, we compare our result with similar calculations that use the Phi-derivable approach.

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Jens O. Andersen, Michael Strickland, Nan Su. 2009-10-14. Three-loop HTL Free Energy for QED. https://doi.org/10.1103/physrevd.80.085015

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