A Simple Confinement Mechanism for Light-Front Quantum Chromodynamics

TL;DR

This paper introduces a simple confinement mechanism within light-front QCD, showing that a confining interaction naturally emerges at second order in the Hamiltonian, despite the use of cutoffs that break covariance and gauge invariance.

Contribution

It presents a novel scheme for deriving a confining interaction in light-front QCD using perturbative renormalization group methods at second order.

Findings

A confining interaction appears at second order in the Hamiltonian.

The scheme allows computation of cutoff QCD Hamiltonians with phenomenological relevance.

Confinement emerges despite violations of covariance and gauge invariance at the cutoff level.

Abstract

Light-front field theory offers a scenario in which a constituent picture of hadrons may arise, but only if cutoffs that violate explicit covariance and gauge invariance are used. The perturbative renormalization group can be used to approximate the cutoff QCD hamiltonian, and even at lowest orders the resultant hamiltonian displays interesting phenomenological features. A general scheme for computing and using these hamiltonians is discussed and it is explicitly shown that a confining interaction appears when the hamiltonian is computed to second order.