Derivative expansion of the effective action for quantum electrodynamics in 2+1 and 3+1 dimensions

V. P. Gusynin, I. A. Shovkovy

Research output: Contribution to journalArticle

60 Scopus citations

Abstract

The derivative expansion of the one-loop effective action in QED3 and QED4 (quantum electrodynamics) is considered. The first term in such an expansion is the effective action for a constant electromagnetic field. An explicit expression for the next term containing two derivatives of the field strength Fμv, but exact in the magnitude of the field strength, is obtained. The general results for both fermion and scalar electrodynamics are presented. The cases of pure electric and pure magnetic external fields are considered in detail. The Feynman technique for the perturbative expansion of the one-loop effective action in the number of derivatives is developed.

Original languageEnglish (US)
Pages (from-to)5406-5439
Number of pages34
JournalJournal of Mathematical Physics
Volume40
Issue number11
DOIs
StatePublished - Nov 1999
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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