One loop fermion contribution to the effective potential for constant SU(2) Yang-Mills fields

TL;DR

This paper derives a convergent series expansion for the one-loop fermion contribution to the effective potential in SU(2) Yang-Mills theory with massive fermions, analyzing conditions for fermion pair creation.

Contribution

It provides a new series expansion for the fermion contribution to the effective potential in SU(2) gauge theory, considering massive fermions and constant gauge fields.

Findings

Series converges for bounded electric fields

Spontaneous fermion pair creation may be absent under certain conditions

Effective potential analysis for constant SU(2) gauge fields

Abstract

We obtain a series expansion for the one loop fermion contribution to the effective potential for constant A^a_\mu fields in SU(2) theory with a massive fermionic doublet. The series converges for bounded electric fields in terms of the magnetic fields and the gauge potentials. One finds that spontaneous fermion pair creation may be absent for arbitrary strong pure electric fields, with an appropriate choice of the classical currents.