4.4 Article

Hydrodynamics of holographic superconductors

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 5, 页码 -

出版社

SPRINGER
DOI: 10.1088/1126-6708/2009/05/021

关键词

Gauge-gravity correspondence; AdS-CFT Correspondence; Thermal Field Theory

资金

  1. Plan Nacional de Altas Energias [FPA-2006-05485, FPA-2006-05423]
  2. EC [MRTN-CT-2004-005104]
  3. Comunidad de Madrid HEPHACOS [P-ESP-00346]
  4. [BES-2007-16830]

向作者/读者索取更多资源

We study the poles of the retarded Green functions of a holographic superconductor. The model shows a second order phase transition where a charged scalar operator condenses and a U(1) symmetry is spontaneously broken. The poles of the holographic Green functions are the quasinormal modes in an AdS black hole background. We study the spectrum of quasinormal frequencies in the broken phase, where we establish the appearance of a massless or hydrodynamic mode at the critical temperature as expected for a second order phase transition. In the broken phase we find the pole representing second sound. We compute the speed of second sound and its attenuation length as function of the temperature. In addition we find a pseudo diffusion mode, whose frequencies are purely imaginary but with a non-zero gap at zero momentum. This gap goes to zero at the critical temperature. As a technical side result we explain how to calculate holographic Green functions and their quasinormal modes for a set of operators that mix under the RG flow.

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