Derivative Expansion of the One-Loop Effective Action in QED

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, 2 postscript figures, uses icmp.sty (included). The presentation at the Conference "Trends in Mathematical Physics",

Scientific paper

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.

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