QED in strong, finite-flux magnetic fields

TL;DR

This paper establishes lower bounds on fermionic determinants in Euclidean QED with finite-flux magnetic fields, advancing understanding of quantum effects in magnetic backgrounds.

Contribution

It provides new lower bounds for fermionic determinants in Euclidean QED with smooth, finite-flux magnetic fields, extending previous theoretical results.

Findings

Lower bounds derived for fermionic determinants in 2D and 4D Euclidean QED.

Results applicable to magnetic fields with arbitrary flux and smoothness.

Enhances theoretical understanding of quantum electrodynamics in magnetic backgrounds.

Abstract

Lower bounds are placed on the fermionic determinants of Euclidean quantum electrodynamics in two and four dimensions in the presence of a smooth, finite-flux, static, unidirectional magnetic field $B(r) =(0,0,B(r))$, where $B(r) \geq 0$ or $B(r) \leq 0$, and $r$ is a point in the xy-plane.