Hydrodynamics of broken global symmetries in the bulk

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

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: Nov 5, 2019
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• 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
• Public URL: https://durham-repository.worktribe.com/output/1316737
• Related Public URLs: https://arxiv.org/abs/1905.00398