Pseudoscalar correlators and the problem of the chiral limit in the compact lattice QED with Wilson fermions

TL;DR

This paper investigates the phase diagram of compact lattice QED with Wilson fermions and compares methods for calculating the pion mass near the chiral transition, addressing challenges in approaching the chiral limit.

Contribution

It provides an analysis of the phase diagram and evaluates different techniques for determining the pion mass close to the chiral transition in lattice QED.

Findings

Phase diagram of compact lattice QED with Wilson fermions presented

Comparison of methods for calculating the pion mass near the chiral transition

Insights into the behavior of the pion mass as the system approaches the chiral limit

Abstract

The phase diagram for the compact lattice QED with Wilson fermions is shown. We discuss different methods for the calculation of the 'pion' mass $m_{\pi}$ near the chiral transition point $\kappa_c(\beta )$.