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

TL;DR

This paper investigates how Lorentz-violating background fields affect the Schwinger effect using the proper-time method, focusing on the one-loop effective Lagrangian and its imaginary part for electric fields.

Contribution

It introduces a calculation of the Schwinger effect considering Lorentz-violating time-like vector and pseudoscalar backgrounds, extending previous models.

Findings

Derived the one-loop effective Lagrangian with Lorentz violation.

Computed the imaginary part to analyze pair production rates.

Discussed potential phenomenological implications.

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.