Derivative Expansion of the Effective Action for QED in 2+1 and 3+1 dimensions

Details Derivative Expansion of the Effective Action for QED in 2+1 and 3+1 dimensions Derivative Expansion of the Effective Action for QED in 2+1 and 3+1 dimensions

1998-04-21

arxiv.org/abs/hep-th/9804143v4

J.Math.Phys. 40 (1999) 5406-5439

Physics

High Energy Physics

High Energy Physics - Theory

30 papes, 3 figures, REVTeX. The final version accepted for publication in Journal of Mathematical Physics

Scientific paper

10.1063/1.533037

The derivative expansion of the one-loop effective action in QED$_3$ and QED$_4$ 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 $F_{\mu\nu}$, but exact in the magnitude of the field strength, is obtained. The general results for fermion and scalar electrodynamics are presented. The cases of pure electric and pure magnetic external fields are considered in details. The Feynman rules for the perturbative expansion of the one-loop effective action in the number of derivatives is developed.

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