The transfer matrix with Kogut-Susskind fermions

TL;DR

This paper constructs a transfer matrix for lattice gauge theories using Kogut-Susskind fermions in the flavor basis and discusses challenges in the spin-diagonal basis.

Contribution

It introduces a transfer matrix formulation for Kogut-Susskind fermions in the flavor basis and highlights issues in the spin-diagonal basis.

Findings

Transfer matrix successfully constructed in flavor basis

Identifies difficulties in spin-diagonal basis

Provides insights into lattice gauge theory formulations

Abstract

A transfer matrix for gauge theories on a lattice with Kogut-Susskind fermions in the flavour basis is constructed and some difficulties in the spin-diagonal basis are pointed out.