Genuine Symmetry of Staggered Fermion
Katsumi Itoh, Mitsuhiro Kato, Michika Murata, Hideyuki Sawanaka,, Hiroto So
TL;DR
This paper introduces a new formulation of staggered fermions on D-dimensional lattices using SO(2D) Clifford algebra, highlighting symmetry properties and identifying new meson operators.
Contribution
It presents a novel SO(2D) Clifford algebra-based formulation of staggered fermions with preserved symmetries and new meson operators.
Findings
Invariance under discrete rotations and SO(2D) chiral transformations
Identification of two new local meson operators
Enhanced understanding of fermion symmetry properties
Abstract
We present a new formulation of the staggered fermion on the D-dimensional lattice based on the SO(2D) Clifford algebra, which is naturally present in the action. The action of the massless staggered fermion is invariant under the discrete rotation and the SO(2D) chiral and other discrete transformations. From transformation properties of the fermion, we find two local meson operators (one scalar and one pseudoscalar) in addition to two standard meson operators.
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