Non-Perturbative Hamiltonian Approaches To Strong Interaction Physics

TL;DR

This paper explores non-perturbative Hamiltonian methods in Quantum Chromodynamics, focusing on confinement mechanisms and hadron spectra without relying on phenomenological confinement models.

Contribution

It introduces Hamiltonian formulations with various quantization and approximation schemes to study strong interaction physics.

Findings

Light-front coordinates reveal bosonic zero modes' role in confinement

Spectra of mesons and baryons obtained without phenomenological confinement

Survey of non-perturbative Hamiltonian techniques in QCD

Abstract

The theory of the strong interactions, Quantum Chromodynamics (QCD), has been addressed by a variety of non-perturbative techniques over the decades since its introduction. We have investigated Hamiltonian formulations with different quantization methods and approximation schemes. In one method, we utilize light-front coordinates to investigate the role of bosonic zero modes in leading to confinement. In another method we are able to obtain spectra for the mesons and baryons using constituent quark masses but no phenomenological confinement. We survey our principal accomplishments to date and indicate our future directions.