Effective action for Dirac spinors in the uniform electromagnetic background fields

Abstract

Some new expressions are found, concerning the effective action as a regularized path-integral for Dirac's spinors in {\it 3+1} dimensions, in the presence of general uniform (i.e., constant and homogeneous) electric and magnetic fields. The rate of $e^{+}{e}^{-}$ pairs production is computed and briefly discussed.

4 pages, LaTeX, no Figures, to appear in the Proceedings of the 6-th International Conference on Path-Integrals from peV to TeV, Firenze