Isospin diffusion in thermal AdS/CFT with flavor

Details Isospin diffusion in thermal AdS/CFT with flavor Isospin diffusion in thermal AdS/CFT with flavor

2007-04-10

arxiv.org/abs/0704.1290v2

Phys.Rev.D76:046001,2007

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 8 figures, typos corrected

Scientific paper

10.1103/PhysRevD.76.046001

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.

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