Gauge Invariant Descriptions of Gluon Polarizations

TL;DR

This paper introduces gauge invariant methods to decompose nucleon spin, focusing on gluon polarization, using conserved currents and extending the Chern-Simons current to address gauge dependence issues.

Contribution

It presents a novel gauge invariant approach to describe gluon polarization and nucleon spin decomposition based on conserved currents and extended Chern-Simons currents.

Findings

Gauge invariant decompositions derived from conserved currents.

Proposed gauge invariant extension of the Chern-Simons current.

Analysis of gauge dependence in gluon spin descriptions.

Abstract

We propose methods to construct gauge invariant decompositions of the nucleon spin, particularly gauge invariant descriptions of the gluon polarization. We show that gauge invariant decompositions of the nucleon spin can be derived naturally from the conserved current of a generalized Lorentz transformation by the Noether theorem. We propose a gauge invariant extension of the Chern-Simons current as a possible description of the gluon spin, and we also examine the problem of gauge dependence of this extended Chern-Simons current.