Distributing the chiral and flavour components of Dirac-Kahler fermions across multiple lattices

TL;DR

This paper presents a novel approach to discretize Dirac-Kahler fermions by distributing their chiral and flavour components across multiple lattices using discrete differential geometry, enabling clearer separation of these components.

Contribution

The work introduces a new lattice formulation that separates chiral and flavour components of Dirac-Kahler fermions using multiple lattices and discrete differential geometry.

Findings

Separate chiral and flavour components on different lattices

Defined a non-compact Abelian gauge theory within this framework

Enhanced understanding of fermion component distribution on lattices

Abstract

We use a specific implementation of discrete differential geometry to describe Dirac-Kahler fermions in such a way that we can separate their chiral and flavour components. The formulation introduces additional lattices so that on each lattice there is a single field of definate chirality. Within this framework, we define an non-compact Abelian gauge theory.