Symmetry properties of staggered fermions with taste splitting mass term

TL;DR

This paper investigates the symmetry properties of staggered fermions with taste splitting mass terms, revealing how different taste splittings affect lattice symmetries and lead to gluonic counterterms, supported by analytical and preliminary numerical results.

Contribution

It provides new analytical and numerical insights into the symmetry breaking patterns of staggered fermions with taste splitting masses, highlighting the emergence of gluonic counterterms.

Findings

Different taste splittings lead to various symmetry subgroups.

Rotational symmetry breaking results in gluonic counterterms.

Preliminary numerical results on small lattices support the analysis.

Abstract

We present analytical and numerical results on symmetry properties of staggered fermions with taste splitting mass terms. As staggered species split differently for different types of taste splitting masses, various lattice symmetry subgroups and symmetry properties emerge. From the breaking of rotational symmetry, gluonic counterterms emerge. Preliminary numerical results are given for lattice sizes up to $8^4$.