Isospin diffusion in thermal AdS/CFT with flavor

Understand

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.