Introduction of the chemical potential in the overlap formalism

TL;DR

This paper explores how to incorporate chemical potential into the overlap formalism for lattice chiral fermions, addressing formalism development and divergence issues at zero temperature.

Contribution

It introduces a method to couple chemical potential solely to physical chiral fermions within the overlap formalism, extending the theoretical framework.

Findings

Formalism for coupling chemical potential to chiral fermions developed

Analysis of zero temperature divergences in the presence of chemical potential

Discussion of implications for lattice gauge theories

Abstract

We investigate the possibility of coupling a chemical potential only to the physical chiral fermions on the lattice starting from the many body state description of overlap fermions. After developing the formalism for a chiral gauge theory, we focus our attention on the case of free fermions coupled to a vector like chemical potential and discuss the issue of zero temperature divergences.