2d Model Field Theories at Finite Temperature and Density

TL;DR

This paper explores 1+1 dimensional field theories at finite temperature and density, demonstrating analytic insights into quark to baryonic matter transitions using large N models that mirror QCD features.

Contribution

It provides a detailed analytic study of phase transitions, symmetry breaking, and confinement in simplified 1+1D models, connecting microscopic quark behavior to macroscopic matter properties.

Findings

Analytic solutions for phase diagrams at finite temperature and density.

Insights into spontaneous symmetry breaking mechanisms.

Understanding of confinement in simplified models.

Abstract

In certain 1+1 dimensional field theoretic toy models, one can go all the way from microscopic quarks via the hadron spectrum to the properties of hot and dense baryonic matter in an essentially analytic way. This "miracle" is illustrated through case studies of two popular large N models, the Gross-Neveu and the 't Hooft model - caricatures of the Nambu-Jona-Lasinio model and real QCD, respectively. The main emphasis will be on aspects related to spontaneous symmetry breaking (discrete or continuous chiral symmetry, translational invariance) and confinement.