| Autor: |
Aristomenis Donos, Daniel Martin, Christiana Pantelidou, Vaios Ziogas |
| Jazyk: |
angličtina |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
Journal of High Energy Physics, Vol 2019, Iss 10, Pp 1-21 (2019) |
| Druh dokumentu: |
article |
| ISSN: |
1029-8479 |
| DOI: |
10.1007/JHEP10(2019)218 |
| Popis: |
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 σ b 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 σ b and of data of the thermal state. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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