Universal Charge Diffusion and the Butterfly Effect

نویسنده

  • Mike Blake
چکیده

We study charge diffusion in holographic scaling theories with a particle-hole symmetry. We show that these theories have a universal regime in which the diffusion constant is given by Dc = Cv B/(2πT ) where vB is the velocity of the butterfly effect. The constant of proportionality, C, depends only on the scaling exponents of the infra-red theory. Our results suggest an unexpected connection between transport at strong coupling and quantum chaos.

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تاریخ انتشار 2016