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- W3100113287 abstract "A bstract 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." @default.
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- W3100113287 date "2019-10-01" @default.
- W3100113287 modified "2023-10-16" @default.
- W3100113287 title "Hydrodynamics of broken global symmetries in the bulk" @default.
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- W3100113287 doi "https://doi.org/10.1007/jhep10(2019)218" @default.
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