Thermodynamics and energy loss in D dimensions from holographic QCD model

TL;DR

This paper explores thermodynamics, phase transitions, and energy loss mechanisms of black holes in holographic QCD models across various dimensions, revealing non-monotonic temperature dependence and dimensional effects on heavy quark energy loss.

Contribution

It provides a comprehensive analysis of black hole thermodynamics and heavy quark energy loss in D-dimensional holographic QCD models, highlighting new dimensional dependencies.

Findings

Energy loss of heavy quark peaks near phase transition temperature.

Heavy quark loses less energy in higher dimensions.

Diffusion coefficient increases with dimension.

Abstract

We consider the holographic QCD model with a planar horizon in the D dimensions with different consistent metric solutions. We investigate the black hole thermodynamics, phase diagram and equations of state (EoS) in different dimensions. The temperature and chemical potential dependence of the drag force and diffusion coefficient also have been studied. From the results, the energy loss of heavy quark shows an enhancement near the phase transition temperature in D dimensions. This finding illustrates that the energy loss of heavy quark has a nontrivial and non-monotonic dependence on temperature. Furthermore, we find the heavy quark may lose less energy in higher dimension. The diffusion coefficient is larger in higher dimension.