Hydrodynamics and transport coefficients in an infrared-deformed soft-wall AdS/QCD model at finite temperature

TL;DR

This paper extends a soft-wall AdS/QCD model to finite temperature to analyze hydrodynamics, calculating transport coefficients like shear viscosity and diffusion constant using linear response theory.

Contribution

It introduces a temperature-dependent infrared scale in the model, enabling hydrodynamic analysis at finite temperature, which is a novel extension.

Findings

Computed shear viscosity and diffusion constant at finite temperature

Established the temperature dependence of the infrared scale

Demonstrated the model's applicability to hydrodynamic phenomena

Abstract

We extend an infrared-deformed soft-wall anti de-Sitter/QCD model at zero temperature to a model at finite temperature and perform hydrodynamics. To have the infalling boundary condition to make the hydrodynamic analysis possible, we treat the infrared energy scale factor in our metric as a temperature-depending parameter. Then, by carrying out the hydrodynamic analysis, we compute the transport coefficients, the diffusion constant, and the shear viscosity, through the linear response theory.