QED$_3$ with Dynamical Fermions in an External Magnetic Field

TL;DR

This paper uses lattice simulations to study how an external magnetic field influences chiral symmetry breaking and fermion mass generation in two-flavor QED3, providing insights into non-perturbative effects.

Contribution

It demonstrates chiral symmetry breaking in QED3 with dynamical fermions and analyzes the magnetic field's impact on fermion mass, advancing understanding of non-perturbative phenomena.

Findings

Chiral symmetry is spontaneously broken in the continuum limit.

External magnetic field affects the fermion condensate and mass.

Dynamical fermions show different behavior compared to quenched approximation.

Abstract

In this paper, we present results of numerical lattice simulations of two-flavor QED in three space-time dimensions. First, we provide evidence that chiral symmetry is spontaneously broken in the chiral and continuum limit. Next we discuss the role of an external magnetic field $B$ on the dynamically generated fermion mass. We investigate the $B$-dependence of the condensate through calculations with dynamical fermions using the non-compact formulation of the gauge field, and compare the results with those of a comparable study using the quenched approximation.