Complete Set of Splitting Functions Relevant in the Evolution of Nucleonic Helicity Distributions

TL;DR

This paper derives the full set of splitting functions necessary for understanding the evolution of nucleonic helicity distributions using light front Hamiltonian perturbation theory in a fixed gauge.

Contribution

It provides a comprehensive derivation of splitting functions relevant for nucleonic helicity evolution within a specific theoretical framework.

Findings

Complete set of splitting functions derived

Applicable to evolution of nucleonic helicity distributions

Methodology uses light front Hamiltonian perturbation theory

Abstract

In this work, we show how the complete set of splitting functions relevant for the evolution of various distribution functions describing nucleonic helicity structure can be obtained in the light front Hamiltonian perturbation theory using completely fixed light front gauge, $A^+=0$.