Nonlinear Hydrodynamics from Flow of Retarded Green's Function

Understand

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.