On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field

TL;DR

This paper reviews recent advances in (2+1)-dimensional relativistic hydrodynamics under external magnetic fields, focusing on momentum loss mechanisms and comparisons with gauge/gravity duality results.

Contribution

It introduces a formalism for momentum loss due to broken translation invariance and compares hydrodynamic results with gauge/gravity correspondence findings.

Findings

Formalism for momentum loss in magnetic fields

Comparison with gauge/gravity duality results

Insights into translation symmetry breaking effects

Abstract

In this paper we review recent progress on relativistic hydrodynamics in (2 + 1)-dimensions with an external magnetic field. We discuss the formalism allowing for momentum loss due to the explicit and spontaneous breaking of translation invariance by scalar operators. We also compare to some results from the gauge/gravity correspondence.