Criticality of QCD in a holographic QCD model with critical end point

TL;DR

This paper investigates the critical behavior of strongly interacting matter near the QCD critical end point using a holographic model, extracting critical exponents consistent with mean-field theory and discussing extensions beyond mean-field approximation.

Contribution

It provides a numerical analysis of critical exponents in a holographic QCD model near the critical end point, aligning with 3D Ising mean-field values and exploring potential improvements.

Findings

Critical exponents match 3D Ising mean-field values.

Numerical extraction of exponents along different axes.

Discussion on including full back-reaction for beyond mean-field effects.

Abstract

Thermodynamics of strongly interacting matter near critical end point are investigated in a holographic QCD model, which could describe the QCD phase diagram in $T-\mu$ plane qualitatively. Critical exponents along different axis ($\alpha,\beta,\gamma,\delta$) are extracted numerically. It is given that $\alpha\approx 0, \beta\approx 0.54, \gamma \approx 1.04, \delta \approx 3.0$, the same as 3D Ising mean-field approximation and previous holographic QCD model calculations. We also discuss the possibilities to go beyond mean field approximation by including the full back-reaction of chiral dynamics in the holographic framework.