The Free Energy of High Temperature QED to Order $e^5$ From Effective Field Theory

Abstract

Massless quantum electrodynamics is studied at high temperature and zero chemical potential. We compute the Debye screening mass to order $e^4$ and the free energy to order $e^5$} by an effective field theory approach, recently developed by Braaten and Nieto. Our results are in agreement with calculations done in resummed perturbation theory. This method makes it possible to separate contributions to the free energy from different momentum scales (order $T$ and $eT$) and provides an economical alternative to computations in the full theory which involves the dressing of internal propagators.

10 pages Latex, 6 figures

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• Solution to the 3-loop $\Phi$-derivable Approximation for Scalar Thermodynamics
• Perturbative Finite-Temperature Results and Pad'e Approximants
• The on-shell effective field theory: a systematic tool to compute power corrections to the hard thermal loops
• A brief overview of hard-thermal-loop perturbation theory
• Three-loop Phi-derivable Approximation in QED
• Quantum Corrections to the QED Vacuum Energy
• Three-loop HTL Free Energy for QED
• Electric current generation in distorted graphene
• The Free Energy Of Hot Gauge Theories
• The 3d Effective Field Theory for Finite Temperature Scalar Electrodynamics
• The Screening Mass Squared in Hot Scalar Theory to Order $g^5$ Using Effective Field Theory
• Thermal Effects in Low-Temperature QED
• Hard-thermal-loop QED thermodynamics
• Born-Infeld Black-Body Radiation