Nonequilibrium fluctuation-dissipation relation from holography

We derive a nonequilibrium fluctuation-dissipation relation for bosonic correlation functions from holography in the classical gravity approximation at strong coupling. This generalizes the familiar thermal fluctuation-dissipation relation in the absence of external sources. This also holds universally for any nonequilibrium state which can be obtained from a stable thermal equilibrium state in perturbative derivative (hydrodynamic) and amplitude (nonhydrodynamic) expansions. Therefore, this can provide a strong experimental test for the applicability of the holographic framework. We discuss how it can be tested in heavy-ion collisions. We also make a conjecture regarding multipoint holographic nonequilibrium Green’s functions.

Note:

40 pages, 3 figures, revtex; a small change in the Introduction for clarity and a reference added, accepted in PRD

11.25.Tq
25.75.Gz
25.75.Ld
04.20.Cv
gravitation: classical
boson: correlation function
background: thermal
heavy ion: scattering
holography
spectral representation

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Figures(3)

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