Topological Unconstrained QCD

TL;DR

This paper explores how solving the non-Abelian Gauss law in QCD reveals hidden effects like confinement and chiral symmetry breaking through topological solutions, offering insights into the theory's non-perturbative aspects.

Contribution

It introduces a framework where key non-perturbative phenomena in QCD are represented by topological solutions of the Gauss constraint, providing a new perspective on confinement and hadronization.

Findings

Hadronization effects hidden in topological solutions

Confinement modeled by rising potential from Gauss law solutions

Chiral symmetry breaking linked to monopole and zero modes

Abstract

"Equivalent unconstrained systems" for QCD obtained by resolving the Gauss law are discussed. We show that the effects of hadronization, confinement, spontaneous chiral symmetry breaking and $\eta_0$-meson mass can be hidden in solutions of the non-Abelian Gauss constraint in the class of functions of topological gauge transformations, in the form of a monopole, a zero mode of the Gauss law, and a rising potential.