Cho-Duan-Ge decomposition of QCD in the constraintless Clairaut-type formalism

TL;DR

This paper applies a novel Clairaut-type formalism to SU(2) QCD's Cho-Duan-Ge decomposition, revealing significant corrections to equations of motion, topological contributions, and field commutation relations that challenge particle interpretation.

Contribution

It introduces the constraintless Clairaut-type formalism to analyze the Cho-Duan-Ge decomposition, uncovering new effects on topological and dynamical aspects of QCD.

Findings

Nontrivial corrections to equations of motion.

Topological degrees of freedom contribute differently.

Alterations to field commutation relations affect particle interpretation.

Abstract

We apply the recently derived constraintless Clairaut-type formalism to the Cho-Duan-Ge decomposition in SU(2) QCD. We find nontrivial corrections to the physical equations of motion and that the contribution of the topological degrees of freedom is qualitatively different from that found by treating the monopole potential as though it were dynamic. We also find alterations to the field commutation relations that undermine the particle interpretation in the presence of the chromomonopole condensate.