Topology and Confinement In Light-Front QCD

TL;DR

This paper investigates how topological structures arising from zero modes in light-front QCD influence confinement, revealing that certain topological effects can weaken or eliminate confinement in specific scenarios.

Contribution

It analyzes the impact of zero modes and topological excitations on the infrared behavior and confinement in light-front QCD, extending understanding from 1+1 to 3+1 dimensions.

Findings

Zero modes can alter infrared behavior and affect confinement.

Topological excitations like instantons influence the vacuum structure.

In some cases, topological effects can eliminate confinement.

Abstract

In 1+1 dimensional compact QCD the zero modes of $A^+$ give the theory a non- trivial topological structure. We examine the effects of these topological structures on the confining infrared structure of the theory. We show that the ground state wavefunction of the topological excitation smears the infrared behavior sufficiently to eliminate confinement for some matter currents. We review the work of Franke et.al. which shows that the zero modes of$A^+$ in $QCD_{3+1}$ give rise to instantons. The relation of zero modes of$A^+$.Invited talk at the workshop on "Theory of Hadrons ond Light-Front QCD" at Polona Zgorzelisko, Poland August 15-25 1994