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Hydrodynamics of broken global symmetries in the bulk.

Donos, Aristomenis and Martin, Daniel and Pantelidou, Christiana and Ziogas, Vaios (2019) 'Hydrodynamics of broken global symmetries in the bulk.', Journal of high energy physics., 2019 (10). p. 218.

Abstract

We consider holographic theories at finite temperature in which a continuous global symmetry in the bulk is spontaneously broken. We study the linear response of operators in a regime which is dual to time dependent, long wavelength deformations of solutions generated by the symmetry. By computing the boundary theory retarded Green’s function we show the existence of a gapless mode with a diffusive dispersion relation. The diffusive character of the mode is compatible with the absence of a conserved charge from the field theory point of view. We give an analytic expression for the corresponding diffusion constant in terms of thermodynamic data and a new transport coefficient σb which is fixed by the black hole horizon data. After adding a perturbative source on the boundary, we compute the resulting gap δωg as a simple function of σb and of data of the thermal state.

Item Type:Article
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1007/JHEP10(2019)218
Publisher statement:This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:09 October 2019
Date deposited:05 November 2019
Date of first online publication:21 October 2019
Date first made open access:05 November 2019

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