Topology of Equivalent Unconstrained Systems in QCD

TL;DR

This paper explores the topological structure of unconstrained QCD systems, revealing how monopoles, zero modes, and rising potentials can explain confinement, hadronization, and chiral symmetry breaking.

Contribution

It introduces a novel topological approach to deriving unconstrained QCD systems that incorporate key phenomena like confinement and chiral symmetry breaking.

Findings

Unconstrained QCD contains monopoles and zero modes.

The rising potential explains confinement.

Topological features account for chiral symmetry breaking.

Abstract

We consider the derivation of equivalent unconstrained systems for QCD given in the class of functions of nontrivial topological gauge transformations. We show that the unconstrained QCD obtained by resolving the Gauss law constraint contains a monopole, a zero mode of the Gauss law, and a rising potential, which can explain the phenomena of confinment and hadronization as well as spontaneous chiral symmetry breaking and the $\eta$-$\eta'$-mass difference.