Determinant of a new fermionic action on a lattice - (II)

TL;DR

This paper explores a new fermionic lattice action with discrete chiral symmetry for SU(2) gauge groups, analyzing its fermion determinant and discussing numerical results for SU(3) fields.

Contribution

It introduces a novel fermionic action on a lattice that maintains discrete chiral symmetry and examines its fermion determinant properties.

Findings

The new action yields 2^D-component fermions.

Numerical results for SU(3) gauge fields are discussed.

The fermion determinant properties are characterized.

Abstract

We investigate the fermion determinant of a new action on a $(1+D)$-dimensional lattice for SU(2) gauge groups. This action possesses the discrete chiral symmetry and provides $2^D$-component fermions. We also comment on the numerical results on fermion determinants in the $(1+D)$-dimensional SU(3) gauge fields.