Mass gap for a monopole interacting with different nonlinear spinor fields

TL;DR

This paper investigates how the mass gap of monopole solutions in SU(2) Yang-Mills theory is affected by nonlinear spinor fields, revealing a monotonic relationship with the nonlinearity parameter.

Contribution

It introduces a study of the mass gap dependence on nonlinear spinor field parameters within SU(2) Yang-Mills monopole solutions.

Findings

Mass gap varies monotonically with the nonlinearity parameter λ.

Position of the mass gap remains nearly unaffected by changes in λ.

The study covers a specific range of the nonlinearity parameter.

Abstract

We study the properties of the mass gap for monopole solutions in SU(2) Yang-Mills theory with a source of the non-Abelian gauge field in the form of a spinor field described by the nonlinear Dirac equation. Different types of nonlinearities parameterized by the parameter $\lambda$ are under consideration. It is shown that for the range of values of this parameter studied in the present paper the value of the mass gap depends monotonically on this parameter, and the position of the mass gap does not practically depend on $\lambda$.