Derivative Expansion of the One-Loop Effective Action in QED

Igor A. Shovkovy

Derivative Expansion of the One-Loop Effective Action in QED

High Energy Physics - Theory 2011-04-15 v1

Authors: Igor A. Shovkovy

Abstract

The one-loop effective action in QED at zero and finite temperature is obtained by using the worldline approach. The Feynman rules for the perturbative expansion of the action in the number of derivatives are derived. The general structure of the temperature dependent part of the effective action in an arbitrary external inhomogeneous magnetic field is established. The two-derivative term in the effective action for spinor and scalar QED in a static magnetic background at $T\neq 0$ is calculated.

Keywords

one-loop effective action qed worldline approach derivative expansion finite temperature inhomogeneous magnetic field

Cite

@article{arxiv.hep-th/9902019,
  title  = {Derivative Expansion of the One-Loop Effective Action in QED},
  author = {Igor A. Shovkovy},
  journal= {arXiv preprint arXiv:hep-th/9902019},
  year   = {2011}
}

Comments

8 pages, 2 postscript figures, uses icmp.sty (included). The presentation at the Conference "Trends in Mathematical Physics", 14-17 October 1998, University of Tennessee, Knoxville

Derivative Expansion of the One-Loop Effective Action in QED

Abstract

Keywords

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