Crossover from a continuum study of chiral susceptibility

TL;DR

This paper derives a model-independent integral formula for chiral susceptibility and investigates its behavior using Dyson-Schwinger Equations, revealing a crossover at physical quark masses consistent with lattice results.

Contribution

It introduces a regularization method for chiral susceptibility and provides a continuum study of the crossover transition using Dyson-Schwinger Equations.

Findings

Demonstrates a second-order phase transition in the chiral limit.

Supports a crossover at physical quark masses.

Results align with recent lattice QCD studies.

Abstract

We derive a model-independent integral formula for chiral susceptibility and attempt to present a continuum model study of it within the framework of Dyson-Schwinger Equations. An appropriate regularization is implemented to remove the temperature-independent quadratic divergence inherent in this quantity. While it demonstrates a second-order phase transition characteristic in the chiral limit, the result obtained supports a crossover at physical current quark masses, which is in good agreement with recent lattice studies.