Free fermionic propagators on a lattice

TL;DR

This paper introduces a lattice-based method for free fermionic propagators that maintains chiral symmetry and recovers continuum behavior, advancing the understanding of fermion fields on discrete spacetime.

Contribution

It develops a discrete formalism for free fermionic propagators on a lattice that preserves chiral symmetry and aligns with continuum physics in the appropriate limit.

Findings

Discrete propagators recover continuum forms in certain limits

Method preserves chiral symmetry on the lattice

Provides a formalism for classical fields with non-local actions

Abstract

A method used recently to obtain a formalism for classical fields with non-local actions preserving chiral symmetry and uniqueness of fermion fields yields a discrete version of Huygens' principle with free discrete propagators that recover their continuum forms in certain limit.