# Isospin diffusion in thermal AdS/CFT with flavor

## TL;DR

This paper investigates the effects of finite isospin chemical potential on a strongly coupled gauge theory using holography, revealing a frequency-dependent isospin diffusion coefficient through detailed Green function analysis.

## Contribution

It introduces a holographic model with non-Abelian gauge fields on D7-branes to study isospin diffusion at finite chemical potential, extending previous linear response analyses.

## Key findings

- Frequency-dependent isospin diffusion coefficient
- Green functions for flavor currents calculated at zero quark mass
- Insights into non-linear response properties of the system

## Abstract

We study the gauge/gravity dual of a finite temperature field theory at finite isospin chemical potential by considering a probe of two coincident D7-branes embedded in the AdS-Schwarzschild black hole background. The isospin chemical potential is obtained by giving a vev to the time component of the non-Abelian gauge field on the brane. The fluctuations of the non-Abelian gauge field on the brane are dual to the SU(2) flavor current in the field theory. For the embedding corresponding to vanishing quark mass, we calculate all Green functions corresponding to the components of the flavor current correlator. We discuss the physical properties of these Green functions, which go beyond linear response theory. In particular, we show that the isospin chemical potential leads to a frequency-dependent isospin diffusion coefficient.