Mixed RG Flows and Hydrodynamics at Finite Holographic Screen

TL;DR

This paper investigates the renormalization group flows of transport coefficients in quark-gluon plasma with chemical potential using gauge/gravity duality, demonstrating exact matches with hydrodynamic calculations at arbitrary scales.

Contribution

It introduces a method to compute transport coefficients at any scale via Green functions and compares flow equations with hydrodynamic results, showing their equivalence.

Findings

Transport coefficients at arbitrary scales can be obtained from hydrodynamic Green functions.

Flow equations and hydrodynamic calculations yield exactly matching results.

Transport coefficients decouple when either momentum or charge vanishes.

Abstract

We consider quark-gluon plasma with chemical potential and study renormalization group flows of transport coefficients in the framework of gauge/gravity duality. We first study them using the flow equations and compare the results with hydrodynamic results by calculating the Green functions on the arbitrary slice. Two results match exactly. Transport coefficients at arbitrary scale is ontained by calculating hydrodynamics Green functions. When either momentum or charge vanishes, transport coefficients decouple from each other.