Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-06-16
Phys.Rev.D80:085015,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages, 10 figures; v3 - typos corrected, additional discussions of systematics added; corresponds with published version
Scientific paper
10.1103/PhysRevD.80.085015
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.
Andersen Jens O.
Strickland Michael
Su Nan
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