# Lattice QCD Method To Study Proton Spin Crisis

## TL;DR

This paper introduces a lattice QCD approach to non-perturbatively calculate the spin and angular momentum of partons inside the proton, addressing the longstanding proton spin crisis in particle physics.

## Contribution

It derives a first-principles non-perturbative formula for proton spin components using lattice QCD, providing a new computational framework.

## Key findings

- Formulated a lattice QCD method for proton spin analysis
- Derived non-perturbative formulas from first principles
- Enables direct calculation of parton spin and angular momentum

## Abstract

The proton spin crisis remains an unsolved problem in particle physics. The spin and angular momentum of the partons inside the proton are non-perturbative quantities in QCD which cannot be calculated by using the perturbative QCD (pQCD). In this paper we present the lattice QCD formulation to study the proton spin crisis. We derive the non-perturbative formula of the spin and angular momentum of the partons inside the proton from the first principle in QCD which can be calculated by using the lattice QCD method.