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Hydrodynamics of broken global symmetries in the bulk

Donos, Aristomenis; Martin, Daniel; Pantelidou, Christiana; Ziogas, Vaios

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Authors

Daniel Martin

Christiana Pantelidou

Vaios Ziogas



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.

Citation

Donos, A., Martin, D., Pantelidou, C., & Ziogas, V. (2019). Hydrodynamics of broken global symmetries in the bulk. Journal of High Energy Physics, 2019(10), Article 218. https://doi.org/10.1007/jhep10%282019%29218

Journal Article Type Article
Acceptance Date Oct 9, 2019
Online Publication Date Oct 21, 2019
Publication Date Oct 31, 2019
Deposit Date Oct 28, 2019
Publicly Available Date Mar 29, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2019
Issue 10
Article Number 218
DOI https://doi.org/10.1007/jhep10%282019%29218
Related Public URLs https://arxiv.org/abs/1905.00398

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright 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.





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