Chiral and Deconfining Phase Transitions from Holographic QCD Study

TL;DR

This paper develops a holographic QCD model to study chiral and deconfining phase transitions, successfully reproducing lattice QCD results and providing insights into the crossover behavior of these transitions.

Contribution

It introduces a bottom-up holographic framework that models QCD phase transitions and fits lattice data, offering a new approach to understanding QCD thermodynamics.

Findings

The model reproduces lattice QCD equation of state.

Polyakov loop and chiral condensate show crossover transitions.

Transition temperatures are consistent with lattice results.

Abstract

A first attempt to accommodate the chiral and deconfining phase transitions of QCD in the bottom-up holographic framework is given. We constrain the relation between dilaton field $\phi$ and metric warp factor $A_e$ and get several reasonable models in the Einstein-Dilaton system. Using the potential reconstruction approach, we solve the corresponding gravity background. Then we fit the background-related parameters by comparing the equation of state with the two-flavor lattice QCD results. After that we study the temperature dependent behavior of Polyakov loop and chiral condensate under those background solutions. We find that the results are in good agreement with the two-flavor lattice results. All the studies about the equation of state, the Polyakov loop and the chiral condensate signal crossover behavior of the phase transitions, which is consistent with the current understanding on the QCD phase transitions with physical quark mass. Furthermore, the extracted transition temperatures are comparable with the two-flavor lattice QCD results.