Lattice simulation of SU(2) gauge theory with chirally symmetric fermions

TL;DR

This paper presents a lattice simulation study of SU(2) gauge theory with domain-wall fermions, analyzing meson spectra, residual mass, and chiral symmetry effects through eigenvalue comparisons and finite volume assessments.

Contribution

It introduces a comprehensive numerical analysis of chiral symmetry and eigenvalue behavior in SU(2) gauge theory with domain-wall fermions, including finite volume effects and overlap operator eigenvalues.

Findings

Finite volume effects influence meson spectra and residual mass.

Eigenvalues of overlap fermions align with random matrix theory predictions.

Correlation between domain-wall and overlap eigenvectors quantifies chiral symmetry violation.

Abstract

We numerically study the SU(2) gauge theory with two dynamical flavors of the domain-wall fermions in fundamental representation. The meson spectra and the residual mass are measured on three lattice volumes and at two values of gauge coupling so as to investigate the finite volume effect. On generated configurations, eigenvalues of the overlap fermion operator are determined and compared to the random matrix theory. To quantify the effect of violation of the exact chiral symmetry, we measure the correlation between the eigenvectors of the domain-wall and the overlap operators.