Finite density and temperature in hybrid bag models

TL;DR

This paper introduces a method to incorporate chemical potential into a two-flavored massless fermion system within a chiral bag model, analyzing the fermionic mean number through boundary conditions and Green functions, with analytical and numerical results.

Contribution

It presents a novel approach to include chemical potential in chiral bag models using boundary conditions and Green functions, with analytical and numerical analysis.

Findings

Analytical expression for fermionic mean number with chemical potential

Numerical evaluation of fermionic number in the model

Boundary conditions effectively incorporate chemical potential

Abstract

We introduce the chemical potential in a system of two-flavored massless fermions in a chiral bag by imposing boundary conditions in the Euclidean time direction. We express the fermionic mean number in terms of a functional trace involving the Green function of the boundary value problem, which is studied analytically. Numerical evaluations for the fermionic number are presented.