Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 3, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP03(2017)166
Keywords
AdS-CFT Correspondence; Gauge-gravity correspondence; Holography and condensed matter physics (AdS/CMT); Holography and quark-gluon plasmas
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Funding
- European Research Council under the European Union's Seventh Framework Programme (ERC) [307955]
- Mainz Institute for Theoretical Physics
- Science and Technology Facilities Council [1380869] Funding Source: researchfish
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Gauss-Bonnet holographic fluid is a useful theoretical laboratory to study the effects of curvature-squared terms in the dual gravity action on transport coefficients, quasi-normal spectra and the analytic structure of thermal correlators at strong coupling. To understand the behavior and possible pathologies of the Gauss-Bonnet fluid in 3+ 1 dimensions, we compute (analytically and non-perturbatively in the Gauss-Bonnet coupling) its second-order transport coefficients, the retarded two- and three-point correlation functions of the energy-momentum tensor in the hydrodynamic regime as well as the relevant quasi-normal spectrum. The Haack-Yarom universal relation among the second-order transport coe- fficients is violated at second order in the Gauss-Bonnet coupling. In the zero-viscosity limit, the holographic fluid still produces entropy, while the momentum di ff usion and the sound attenuation are suppressed at all orders in the hydrodynamic expansion. By adding higher-derivative electromagnetic field terms to the action, we also compute corrections to charge diffusion and identify the non-perturbative parameter regime in which the charge diffusion constant vanishes.
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