Chiral crossover transition from the Dyson-Schwinger equations in a sphere

TL;DR

This study uses Dyson-Schwinger equations to analyze how finite spherical volume affects the chiral phase transition in QCD, revealing that smaller volumes suppress the transition and eventually eliminate it.

Contribution

It provides a novel analysis of finite volume effects on chiral crossover transition using Dyson-Schwinger equations with MIT boundary conditions.

Findings

Chiral condensate decreases with volume reduction.

Pseudotransition temperature drops as volume shrinks.

No chiral transition occurs below a radius of 1.5 fm.

Abstract

Within the framework of Dyson--Schwinger equations of QCD, we study the effect of finite volume on the chiral phase transition in a sphere with the MIT boundary condition. We find that the chiral quark condensate $\langle\bar{\psi} \psi\rangle$ and pseudotransition temperature $T_{pc}$ of the crossover decreases as the volume decreases, until there is no chiral crossover transition at last. We find that the system for $R = \infty $\ fm is indistinguishable from $R=10$ fm and there is a significant decrease in $T_{pc}$ with $R$ as $R<4$ fm. When $R<1.5$ fm, there is no chiral transition in the system.