One-loop Schwinger effect in the presence of Lorentz-violating background fields

Abstract

In this work we make use of proper-time method to evaluate Schwinger effect in the presence of Lorentz-violating background fields. Specifically, we evaluate the one-loop effective Lagrangian in the presence of Lorentz-violating time-like vector background $b_{\mu }$ and pseud-scalar $m_5$ for the pure electric case. The imaginary part of the effective Lagrangian is computed in order to calculate the Schwinger effect. Comments on phenomenology are also performed.

9 pages, no figures, final version accepted for publication in the EPJC

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