Rotational Symmetry and A Light Mode in Two-Dimensional Staggered Fermions

TL;DR

This paper introduces new local operators for two-dimensional staggered fermions that preserve rotational symmetry and enable effective mass splitting, potentially isolating a single light mode.

Contribution

The work proposes four novel local operators maintaining rotational invariance and analyzes three mass splitting cases to identify a promising approach for single light mode realization.

Findings

One case effectively isolates a single light mode.

Heavy modes can be made infinitely massive on specific sites.

The proposed operators preserve rotational symmetry.

Abstract

To obtain a light mode in two-dimensional staggered fermions, we introduce four new local operators keeping the rotational invariance for a staggered Dirac operator. To split masses of tastes, three cases are considered. The mass matrix and the propagator for free theories are analyzed. We find that one of three cases is a good candidate for taking a single mode by the mass splitting. In the case, it is possible that a heavy mode obtains infinite mass on even sites or odd sites.