Mass gap for a monopole interacting with a nonlinear spinor field

TL;DR

This paper investigates how the mass gap in an SU(2) Yang-Mills theory with a classical nonlinear spinor source depends solely on the coupling constant, revealing a direct relationship between energy and coupling strength.

Contribution

It demonstrates that the total energy of a monopole interacting with nonlinear spinor fields is determined exclusively by the coupling constant, highlighting a specific dependence in the model.

Findings

Mass gap depends only on the coupling constant

Total energy is a function of the coupling strength

Monopole energy is dimensionless and coupling-dependent

Abstract

Within SU(2) Yang-Mills theory with a source of the non-Abelian gauge field in the form of a classical spinor field, we study the dependence of the mass gap on the coupling constant between the gauge and nonlinear spinor fields. It is shown that the total dimensionless energy of the monopole interacting with the nonlinear spinor fields depends only on the dimensionless coupling constant.