QCD effects in non-QCD theories

TL;DR

This paper explores how certain non-QCD theories exhibit effects similar to QCD, such as mass gaps and flux tube solutions, suggesting they may be related through nonperturbative quantization methods like Dyson-Schwinger equations.

Contribution

It identifies QCD-like effects in specific non-QCD theories and proposes a connection to nonperturbative quantization via Dyson-Schwinger equations.

Findings

Presence of a mass gap in SU(2) Yang-Mills with nonlinear spinor

Flux tube solutions in SU(3) Proca-Higgs theory

Configurations contributing to proton spin in non-Abelian Proca-Higgs theories

Abstract

It is shown that, in some non-QCD theories, there are effects shared by QCD: (i)~in SU(2) Yang-Mills theory containing a nonlinear spinor field, there is a mass gap; (ii)~in SU(3) Proca-Higgs theory, there are flux tube solutions with a longitudinal electric field required for producing a force binding quarks; (iii)~in non-Abelian Proca-Higgs theories, there exist flux tube solutions with a momentum directed along the tube axis and particlelike solutions with a nonvanishing total angular momentum created by crossed color electric and magnetic fields; in QCD, such configurations may contribute to the proton spin. We discuss the conjecture that such non-QCD theories might be a consequence of approximate solution of an infinite set of Dyson-Schwinger equations describing the procedure of nonperturbative quantization. The phenomenon of dimensional transmutation for nonperturbative quantization and the analogy between nonperturbative quantization and turbulence modeling are also discussed.