Model studies of the chiral and deconfinement transitions in QCD

TL;DR

This thesis investigates the chiral and deconfinement transitions in QCD using the quark meson and NJL models, applying thermal field theory and functional renormalization group methods to analyze phase transitions.

Contribution

It introduces a comprehensive analysis of QCD phase transitions employing the quark meson and NJL models with advanced FRG techniques, providing new insights into their thermal behavior.

Findings

Demonstrates the effectiveness of FRG in studying QCD phase transitions

Provides detailed modeling of chiral and deconfinement phenomena

Offers numerical solutions to FRG equations for the QM model

Abstract

The Doctoral thesis of William Naylor. Gives the background of the three papers included, specifically introducing both the quark meson model and the NJL model, the basic formalism of thermal field theory, and functional renormalization group (including some details on numerically solving the FRG equation for the QM model).