Higher Order Corrections to the Equation of State of QED at High Temperature

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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(SPhT/94-086) (ANL-HEP-PR-94-32), 33 pages in latex, 5 figures attached as postscript files

Scientific paper

10.1016/0550-3213(94)00484-V

We elaborate on the computation of the pressure of thermal quantum electrodynamics, with massless electrons, to the fifth ($e^5$) order. The calculation is performed within the Feynman gauge and the imaginary-time formalism is employed. For the $e^4$ calculation, the method of Sudakov decomposition is used to evaluate some ultraviolet finite integrals which have a collinear singularity. For the $e^5$ contribution, we give an alternative derivation and extend the discussion to massive electrons and nonzero chemical potential. Comments are made on expected similarities and differences for prospective three-loop calculations in QCD.

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