Transverse energy-momentum tensor distributions in polarized nucleons

TL;DR

This paper analyzes the spatial distributions of the energy-momentum tensor in polarized nucleons, focusing on transverse components and their multipole structure, connecting quantum phase-space formalism with light-front distributions.

Contribution

It extends previous work by detailing transverse energy-momentum tensor distributions and their multipole structure in a moving nucleon within the quantum phase-space formalism.

Findings

Reproduces standard light-front distributions in the infinite-momentum frame.

Explains the multipole structure of transverse distributions.

Provides insights into the origin of distribution structures with 'bad' components.

Abstract

We complete our study of the relativistic spatial distributions of the energy-momentum tensor inside polarized nucleons within the quantum phase-space formalism. In the present work, we focus on the components of the energy-momentum tensor involving at least one transverse index. We also explore the multipole structure of the transverse distributions in a moving nucleon. In the infinite-momentum frame, we show that the formalism reproduces the standard light-front distributions, including those with a ``bad'' component, and explains the origin of their structure.