Nonlinear Hydrodynamics from Flow of Retarded Green's Function

Details Nonlinear Hydrodynamics from Flow of Retarded Green's Function Nonlinear Hydrodynamics from Flow of Retarded Green's Function

2010-05-13

arxiv.org/abs/1005.2367v2

Physics

High Energy Physics

High Energy Physics - Theory

Version 2, reference added, typos corrected

Scientific paper

We study the radial flow of retarded Green's function of energy-momentum tensor and $R$-current of dual gauge theory in presence of generic higher derivative terms in bulk Lagrangian. These are first order non-linear Riccati equations. We solve these flow equations analytically and obtain second order transport coefficients of boundary plasma. This way of computing transport coefficients has an advantage over usual Kubo approach. The non-linear equation turns out to be a linear first order equation when we study the Green's function perturbatively in momentum. We consider several examples including $Weyl^4$ term and generic four derivative terms in bulk. We also study the flow equations for $R$-charged black holes and obtain exact expressions for second order transport coefficients for dual plasma in presence of arbitrary chemical potentials. Finally we obtain higher derivative corrections to second order transport coefficients of boundary theory dual to five dimensional gauge supergravity.

Affiliated with

Also associated with

No associations

Rating

Nonlinear Hydrodynamics from Flow of Retarded Green's Function does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonlinear Hydrodynamics from Flow of Retarded Green's Function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear Hydrodynamics from Flow of Retarded Green's Function will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-641119