Transport coefficients, membrane couplings and universality at extremality
Oct, 2009Citations per year
Abstract: (arXiv)
We present an efficient method for computing DC transport coefficients in strongly coupled field theories described holographically by higher derivative gravity theories. Hydrodynamic parameters such as shear viscosity and conductivity can be obtained by computing residues of poles of the off-shell lagrangian density. We clarify in which sense these coefficients can be thought of as effective couplings at the horizon, and present analytic formulae for the shear viscosity and conductivity in a large class of general higher derivative lagrangians. We show how to apply our methods to systems at zero temperature but finite chemical potential. Our results imply that such theories satisfy universally in the Einstein-Maxwell sector. Likewise, the DC conductivity for such systems is shown to be universally zero, and we conjecture that higher derivative corrections in this sector do not modify this result to all orders in perturbation theory.Note:
- 29 pages
- Gauge-gravity correspondence
- AdS-CFT Correspondence
- derivative: high
- transport theory
- viscosity
- strong coupling
- holography
- off-shell
- membrane
- gravitation: action
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