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

Mixed RG Flows and Hydrodynamics at Finite Holographic Screen