Quark number Susceptibility and Phase Transition in hQCD Models

TL;DR

This paper investigates quark number susceptibility in holographic QCD models, revealing a common jump at the phase transition and comparing diffusion constants between models.

Contribution

It demonstrates the equivalence of susceptibilities in hard wall and soft wall models and analyzes differences in diffusion constants.

Findings

Susceptibility jumps at deconfinement transition in both models

Diffusion constant is higher in the soft wall model

Susceptibility behavior indicates phase transition point

Abstract

We study the quark number susceptibility, an indicator of QCD phase transition, in the hard wall and soft wall models of hQCD. We find that the susceptibilities in both models are the same, jumping up at the deconfinement phase transition temperature. We also find that the diffusion constant in the soft wall model is enhanced compared to the one in the hard wall model.