Quark Number Susceptibility and QCD Phase Transition in the Predictive Soft-wall AdS/QCD Model with Finite Temperature

TL;DR

This paper extends the soft-wall AdS/QCD model to finite temperature to study quark number susceptibility, revealing a peak near the QCD critical temperature consistent with lattice QCD results.

Contribution

It introduces a finite-temperature extension of the infrared improved soft-wall AdS/QCD model to analyze quark number susceptibility and QCD phase transition.

Findings

Quark number susceptibility peaks around 170 MeV.

The model's critical temperature aligns with lattice QCD.

Susceptibility grows rapidly near the phase transition.

Abstract

Based on the infrared improved soft-wall AdS/QCD model which can lead to a consistent prediction for the mass spectra of light resonance mesons, we extend it to the finite temperature system and carry out the calculation for the quark number susceptibility with finite quark mass. As a consequence, we show that the quark number susceptibility grows rapidly with a continuous blow-up in a narrow temperature interval as the temperature increases, and there is a peak when the temperature is around $T \simeq 160 \sim 190$ MeV depending slightly on the models, the resulting critical temperature is about 170MeV, which agrees remarkably with the lattice QCD calculation.