The relevance of the three dimensional Thirring coupling at finite temperature and density

TL;DR

This paper investigates the three-dimensional Thirring model at finite temperature and density, revealing a crossover from three-dimensional to two-dimensional free fermion gas behavior as density varies.

Contribution

It provides a detailed analysis of the model's behavior at different densities and temperatures, highlighting the dimensional crossover phenomenon.

Findings

Number density varies with temperature and density.

Smooth crossover from 3D to 2D fermion gas behavior.

Behavior depends on zero-temperature density parameter.

Abstract

We studied the three dimensional Thirring model in the limit of infinite number of flavors at finite temperature and density. We calculated the number density as a function of temperature and the density at zero temperature serves as a relevant parameter. A three dimensional free fermion gas behavior as the density at zero temperature approaches zero smoothly crosses over to a two dimensional free fermion gas behavior as the density at zero temperature approaches infinity.