Angular Momentum Sum Rule Violation in QCD Due to Confinement and The Proton Spin Crisis

TL;DR

This paper investigates how confinement in QCD leads to a violation of the angular momentum sum rule, suggesting that additional flux contributions are necessary to resolve the proton spin crisis.

Contribution

It introduces the idea that confinement causes sum rule violation and proposes including flux contributions to address the proton spin problem.

Findings

Angular momentum sum rule is violated due to confinement.

Non-vanishing flux contributions are essential for the sum rule.

Proposes a solution to the proton spin crisis by adding flux contributions.

Abstract

The proton spin crisis remains an unsolved problem in physics. In this paper we find that due to the confinement of partons inside the hadron the angular momentum sum rule in QCD is violated. Hence we find that the non-vanishing angular momentum flux contribution of the partons in QCD should be added to the spin and angular momentum of the partons to solve the proton spin crisis.