Universal relations of transport coefficients from holography

Journal Article · Tue Sep 15 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.066006· OSTI ID:21322798

Cherman, Aleksey; Nellore, Abhinav ^[1]

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1. Center for Fundamental Physics, Department of Physics, University of Maryland, College Park, Maryland 20742-4111 (United States)

We show that there are universal high-temperature relations for transport coefficients of plasmas described by a wide class of field theories with gravity duals. These theories can be viewed as strongly coupled large-N{sub c} conformal field theories deformed by one or more relevant operators. The transport coefficients we study are the speed of sound and bulk viscosity, as well as the conductivity, diffusion coefficient, and charge susceptibility of probe U(1) charges. We show that the sound bound v{sub s}{sup 2}{<=}1/3 is satisfied at high temperatures in these theories and also discuss bounds on the diffusion coefficient, the conductivity, and the bulk viscosity.

• OSTI ID: 21322798
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 6; Other Information: DOI: 10.1103/PhysRevD.80.066006; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONFORMAL INVARIANCE
DIFFUSION
GRAVITATION
HOLOGRAPHY
PLASMA
QUANTUM FIELD THEORY
SOUND WAVES
TEMPERATURE DEPENDENCE
TRANSPORT THEORY
U-1 GROUPS
VELOCITY
VISCOSITY