All order linearised hydrodynamics from fluid-gravity correspondence

Abstract

Relativistic fluid dynamics emerges as an effective theory describing strongly coupled QFTs at finite temperature. Following a brief intro into relativistic fluid dynamics, I will discuss how constitutive relation/transport coefficients of a fluid can be obtained using the holographic methods. Applying the fluid/gravity correspondence, we have determined the (linearized) stress energy tensor of N=4 super-Yang-Mills theory at strong coupling accounting for all orders in derivatives of the fluid velocity. I will introduce momenta-dependent transport functions, such as generalized shear viscosity, and will derive closed form linear holographic RG|flow-type equations for these functions.