# Momentum Space Topology and Non-Dissipative Currents

## TL;DR

This paper explores how momentum space topology underpins various non-dissipative currents in high energy physics, linking it to condensed matter theories and analyzing phenomena like the quantum Hall and chiral effects.

## Contribution

It systematically analyzes anomalous transport phenomena using momentum space topology, extending condensed matter approaches to high energy physics models.

## Key findings

- Response of nondissipative currents is determined by topological invariants.
- Unified framework for anomalous effects like quantum Hall, chiral magnetic, and vortical effects.
- Momentum space topology underlies diverse anomalous transport phenomena.

## Abstract

Relativistic heavy ion collisions represent an arena for the probe of various anomalous transport effects. Those effects, in turn, reveal the correspondence between the solid state physics and the high energy physics, which share the common formalism of quantum field theory. It may be shown that for the wide range of {field-theoretic} models, the response of various nondissipative currents to the external gauge fields is determined by the momentum space topological invariants. Thus, the anomalous transport appears to be related to the investigation of momentum space topology -- the approach developed earlier mainly in the condensed matter theory. Within this methodology we analyse systematically the anomalous transport phenomena, which include, in particular, the anomalous quantum Hall effect, the chiral separation effect, the chiral magnetic effect, the chiral vortical effect and the rotational Hall effect.