RG flow of AC Conductivity in Soft Wall Model of QCD

TL;DR

This paper investigates how AC conductivity evolves with energy scale in a holographic QCD model using RG flow analysis, considering various parameters like chemical potential and Gauss-Bonnet couplings.

Contribution

It provides a detailed numerical analysis of AC conductivity RG flow in the soft wall holographic QCD model with charged black holes and higher curvature corrections.

Findings

AC conductivity flow depends on radial coordinate and frequency.

Conductivity varies with chemical potential and Gauss-Bonnet couplings.

Numerical solutions illustrate the RG flow behavior of AC conductivity.

Abstract

We study the Renormalization Group (RG) flow of AC conductivity in soft wall model of holographic QCD. We consider the charged black hole metric and the explicit form of AC conductivity is obtained at the cut-off surface. We plot the numerical solution of conductivity flow as a function of radial co-ordinate. The equation of gauge field is also considered and the numerical solution is obtained for AC conductivity as a function of frequency. The results for AC conductivity are also obtained for different values of chemical potential and Gauss-Bonnet couplings.