Effective action for Dirac spinors in the presence of general uniform electromagnetic fields

TL;DR

This paper derives new formulas for the one-loop effective action of Dirac fermions in four-dimensional uniform electromagnetic fields, including cases with non-zero electric and magnetic field dot products, and discusses pair-production rates.

Contribution

It presents novel expressions for the effective action of Dirac fermions under complex uniform electromagnetic field configurations.

Findings

Derived new formulas for effective action in complex fields

Computed pair-production rates in these fields

Discussed implications for quantum field theory

Abstract

Some new expressions are found, concerning the one-loop effective action of four dimensional massive and massless Dirac fermions in the presence of general uniform electric and magnetic fields, with $\vec E\cdot \vec H\neq 0$ and $\vec E ^2\neq \vec H ^2$. The rate of pair-production is computed and briefly discussed.