Three-loop Phi-derivable approximation in QED

J.O. Andersen, M. Strickland

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    Abstract

    In this paper we examine 9Φ-derivable approximations in QED, General theorems tell us that the gauge dependence of the n-loop Φ-derivable approximation shows up at order g2n where g is the coupling constant. We consider the gauge dependence of the two-loop Φ-derivable approximation to the Debye mass and show that it is of order e4 as expected. We solve the three-loop Φ-derivable approximation in QED by expanding sum-integrals in powers of e2 and m/T, where m is the Debye mass which satisfies a variational gap equation. The results for the pressure and the Debye mass are accurate to order e5. © 2005 The American Physical Society.
    Original languageEnglish
    JournalPhysical Review D
    Volume71
    Issue number2
    DOIs
    Publication statusPublished - 2005

    Bibliographical note

    Times Cited: 8

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