A bound on the speed of sound from holography

Details A bound on the speed of sound from holography A bound on the speed of sound from holography

2009-05-06

arxiv.org/abs/0905.0903v1

Phys.Rev.D80:066003,2009

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 1 figure

Scientific paper

10.1103/PhysRevD.80.066003

We show that the squared speed of sound v_{s}^{2} is bounded from above at high temperatures by the conformal value of 1/3 in a class of strongly coupled four-dimensional field theories, given some mild technical assumptions. This class consists of field theories that have gravity duals sourced by a single scalar field. There are no known examples to date of field theories with gravity duals for which v_{s}^{2} exceeds 1/3 in energetically favored configurations. We conjecture that v_{s}^{2}=1/3 represents an upper bound for a broad class of four-dimensional theories.

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