Strange Quark Contribution to the Nucleon - (Dissertation)

TL;DR

This dissertation explores advanced lattice QCD methods to accurately determine the strange quark's contribution to nucleon electric and magnetic properties, presenting new computational techniques and validating their effectiveness.

Contribution

It introduces novel theoretical and computational methods, including twisted mass fermions and GMRES, for improved calculation of strangeness form factors in nucleons.

Findings

Numerical results validate new computational techniques.

Methods improve accuracy of strange quark contribution calculations.

Results support future research in nucleon structure.

Abstract

The strangeness contribution to the electric and magnetic properties of the nucleon has been under investigation experimentally for many years. Lattice Quantum Chromodynamics (LQCD) gives theoretical predictions of these measurements by implementing the continuum gauge theory on a discrete, mathematical Euclidean space-time lattice which provides a cutoff removing the ultra-violet divergences. In this dissertation we will discuss effective methods using LQCD that will lead to a better determination of the strangeness contribution to the nucleon properties. Strangeness calculations are demanding technically and computationally. Sophisticated techniques are required to carry them to completion. In this thesis, new theoretical and computational methods for this calculation such as twisted mass fermions, perturbative subtraction, and General Minimal Residual (GMRES) techniques which have proven useful in the determination of these form factors will be investigated. Numerical results of the scalar form factor using these techniques are presented. These results give validation to these methods in future calculations of the strange quark contribution to the electric and magnetic form factors.