# Non-static Analysis of the Anomalous Chiral Conductivities

## TL;DR

This paper investigates the real-time, space-time dependent behavior of chiral magnetic conductivity in nonequilibrium high-energy collisions using linear response theory, aiming to improve simulation accuracy.

## Contribution

It provides a general 1-loop resummed expression for chiral magnetic conductivity with space-time dependence, extending previous static analyses.

## Key findings

- Derived a general expression for dynamical chiral magnetic conductivity.
- Proposed limiting cases for potential hydrodynamical implementation.
- Enhanced understanding of nonequilibrium transport phenomena in high-energy physics.

## Abstract

Given the intrinsic nonequilibrium nature of high-energy collisions the investigation of the dynamical properties of transport phenomena is important. The study of the real-time behavior of various conductivities and susceptibilities help refine the simulation tools we use to compare the theories and the experimental findings. In this contribution we take steps to give the chiral magnetic conductivity in case of magnetic field and chiral imbalance are both space-time dependent. Using linear response approximation we present the general 1-loop resummed expression for the electric current. We also suggest simple limiting cases in hope for possible implementation into a hydrodynamical framework.