Recent progress in Hamiltonian light-front QCD

TL;DR

This paper reviews recent advances in Hamiltonian light-front QCD, emphasizing a basis function approach for non-perturbative calculations of hadron properties, and discusses computational challenges involved.

Contribution

It introduces a basis function framework for Hamiltonian light-front QCD, enabling non-perturbative solutions with improved computational methods.

Findings

Large sparse Hamiltonian matrices are constructed for gauge theories.

Full covariance is recovered in the continuum limit.

The approach adapts nuclear many-body methods to quantum field theory.

Abstract

Hamiltonian light-front quantum field theory constitutes a framework for the non-perturbative solution of invariant masses and correlated parton amplitudes of self-bound systems. By choosing light-front gauge and adopting a basis function representation, we obtain a large, sparse, Hamiltonian matrix for mass eigenstates of gauge theories that is solvable by adapting the ab initio no-core methods of nuclear many-body theory. Full covariance is recovered in the continuum limit, the infinite matrix limit. We outline our approach and discuss the computational challenges.