Dynamical Locking of the Chiral and the Deconfinement Phase Transition in QCD

TL;DR

This paper investigates how the chiral and deconfinement phase transitions in two-flavor QCD are dynamically linked through the fixed-point structure of four-fermion interactions, revealing a mechanism that aligns these transitions.

Contribution

It introduces a mechanism showing the dynamic locking of chiral and deconfinement phase transitions in QCD via fixed-point analysis of four-fermion interactions.

Findings

The chiral and deconfinement transitions can occur close together due to a locking mechanism.

A window of physical observable values where the two transitions are near each other is identified.

The fixed-point structure of four-fermion interactions is key to understanding the phase transition relationship.

Abstract

We study the fixed-point structure of four-fermion interactions in two-flavor QCD with Nc colors close to the finite-temperature phase boundary. In particular, we analyze how the fixed-point structure of four-fermion interactions is related to the confining dynamics in the gauge sector. We show that there exists indeed a mechanism which dynamically locks the chiral phase transition to the deconfinement phase transition. This mechanism allows us to determine a window for the values of physical observables in which the two phase transitions lie close to each other.