Massless fermions in a bag at finite density and temperature

TL;DR

This paper investigates massless fermions confined in a bag at finite density and temperature by incorporating chemical potential through boundary conditions, analyzing the fermionic mean number both analytically and numerically, with applications to hadron models.

Contribution

It introduces a novel method to include chemical potential in fermionic bag models via boundary conditions and provides analytical and numerical analysis of the resulting system.

Findings

Analytical expression for fermionic mean number derived

Numerical evaluations demonstrate the method's effectiveness

Application to a simple hadron model discussed

Abstract

We introduce the chemical potential in a system of massless fermions in a bag by impossing boundary conditions in the Euclidean time direction. We express the fermionic mean number in terms of a functional trace involving the Green's function of the boundary value problem, which we study analytically. Numerical evaluations are made, and an application to a simple hadron model is discussed.