# Wilsonian RG-flow approach to holographic transport with momentum dissipation

## TL;DR

This paper introduces a novel RG-flow based method to analyze linear transport in holographic systems, simplifying calculations of conductivities with momentum dissipation and magnetic fields.

## Contribution

The authors develop a first-order nonlinear flow equation approach for holographic transport, enabling straightforward computation of conductivities in complex settings.

## Key findings

- Effective computation of DC and AC conductivities
- Method applies to systems with momentum dissipation
- Handles external magnetic fields easily

## Abstract

We systematically present a new approach for studying the coupled linear transport of holographic systems. In this approach, the set of equations for the linear perturbations can be reduced to a first-order nonlinear ordinary differential equation expressed as the radial (renormalization group) flow equation of the transport matrices. As an important application, we use this approach to compute the DC and AC conductivities of a holographic model with momentum dissipation, which can be easily read off from the nonlinear flow equations. This method also works for transport in the presence of an external magnetic field.