Zero Temperature Dissipation and Holography

Abstract

We use holographic techniques to study the zero-temperature limit of dissipation for a Brownian particle moving in a strongly coupled CFT at finite temperature in various space-time dimensions. The dissipative term in the boundary theory for $\omega \to 0$, $T\to 0$ with $\omega /T$ held small and fixed, does not match the same at $T=0$, $\omega \to 0$. Thus the $T\to 0$ limit is not smooth for $\omega <T$. This phenomenon appears to be related to a confinement-deconfinement phase transition at $T=0$ in the field theory.

23 pages, 1 figure, v2 : minor improvements of the text, one figure added, accepted for publication in JHEP

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Cited by in corpus (4)

• Localization and AdS/CFT Correspondence
• Energy loss of a nonaccelerating quark moving through a strongly coupled N=4 super Yang-Mills vacuum or plasma in strong magnetic field
• Holographic Brownian motion at finite density
• Fluctuation and Dissipation from a Deformed String/Gauge Duality Model