Secondorder transport, quasinormal modes and zeroviscosity limit in the GaussBonnet holographic fluid
Abstract
GaussBonnet holographic fluid is a useful theoretical laboratory to study the effects of curvaturesquared terms in the dual gravity action on transport coefficients, quasinormal spectra and the analytic structure of thermal correlators at strong coupling. To understand the behavior and possible pathologies of the GaussBonnet fluid in 3 + 1 dimensions, we compute (analytically and nonperturbatively in the GaussBonnet coupling) its secondorder transport coefficients, the retarded two and threepoint correlation functions of the energymomentum tensor in the hydrodynamic regime as well as the relevant quasinormal spectrum. The HaackYarom universal relation among the secondorder transport coefficients is violated at second order in the GaussBonnet coupling. In the zeroviscosity limit, the holographic fluid still produces entropy, while the momentum diffusion and the sound attenuation are suppressed at all orders in the hydrodynamic expansion. By adding higherderivative electromagnetic field terms to the action, we also compute corrections to charge diffusion and identify the nonperturbative parameter regime in which the charge diffusion constant vanishes.
 Publication:

Journal of High Energy Physics
 Pub Date:
 March 2017
 DOI:
 10.1007/JHEP03(2017)166
 arXiv:
 arXiv:1611.07053
 Bibcode:
 2017JHEP...03..166G
 Keywords:

 AdSCFT Correspondence;
 Gaugegravity correspondence;
 Holography and condensed matter physics (AdS/CMT);
 Holography and quarkgluon plasmas;
 High Energy Physics  Theory;
 Condensed Matter  Strongly Correlated Electrons;
 General Relativity and Quantum Cosmology;
 Nuclear Theory
 EPrint:
 56 pages, 3 figures