One-loop calculations in Lorentz-breaking theories and proper-time method

Abstract

We discuss applications of the proper-time method in various minimal Lorentz violating modifications of QED and present new results obtained with its use. Explicitly. we calculate the complete one-loop Heisenberg-Euler effective action involving all orders in Fmn, for two of the most studied minimal Lorentz-violating extensions of QED, the one characterized by the axial vector bm and the one involving the second-rank constant tensor cmn.

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