Phase structure and chiral limit of compact lattice QED with Wilson fermions

TL;DR

This paper investigates the phase structure and chiral limit of 4D compact lattice QED with Wilson fermions, analyzing how lattice artifacts affect eigenvalue distributions and proposing methods to locate the chiral limit.

Contribution

It compares standard and modified Wilson actions in lattice QED, showing how lattice artifacts influence eigenvalue distributions and providing techniques to identify the chiral limit.

Findings

Lattice artifacts significantly affect eigenvalue distributions for small eigenvalues.

The chiral limit can be effectively located using multiple techniques.

Modified actions help suppress lattice artifacts in the analysis.

Abstract

We study the phase structure and chiral limit of $4d$ compact lattice QED with Wilson fermions (both dynamical and quenched). We use the standard Wilson action (WA) and also the modified action (MA) with some lattice artifacts suppressed. We show that lattice artifacts influence the distributions of eigenvalues $~\lambda_i~$ of the fermionic matrix especially for small values of $~\lambda_i~$. Our main conclusion is that the chiral limit of compact QED can be efficiently located using different techniques. Sorry, figures are not included and can be sent by ordinary mail or Fax.