Comment on "Equilibrum spin currents: Non-Abelian Gauge Invariance and Color Diamagnetism in Condensed Matter"

TL;DR

This paper emphasizes the importance of gauge symmetry breaking in accurately describing diamagnetic color currents in non-Abelian spin-orbit interactions within condensed matter systems.

Contribution

It highlights the necessity of gauge symmetry breaking for a correct theoretical description of spin currents in non-Abelian frameworks.

Findings

Gauge symmetry breaking is essential for proper modeling of diamagnetic color currents.

Revises the gauge symmetric approach by incorporating symmetry breaking effects.

Clarifies the theoretical understanding of spin currents in non-Abelian gauge theories.

Abstract

In a recent paper [Phys. Rev. Lett. 101, 106601], I. V. Tokatly addresses a non Abelian formulation of spin orbit interaction in condensed matter, restricting to a gauge symmetric scenario. In this comment we draw attention on the relevance of gauge symmetry breaking on such formulation and point out why this is a necessary ingredient for properly describing the associated diamagnetic color currents.