Charge gap in SU(3) Yang-Mills-plus-nonlinear-spinor-field theory

TL;DR

This paper investigates particle-like solutions in SU(3) Yang-Mills theory coupled with a nonlinear spinor field, revealing charge and magnetic moment gaps and their relation to the system's energy.

Contribution

It introduces the concept of charge and magnetic moment gaps in SU(3) Yang-Mills-plus-nonlinear-spinor-field theory and analyzes their physical significance.

Findings

Electric field exhibits Coulomb asymptotic behavior.

Magnetic field behaves as a magnetic dipole asymptotically.

Profiles of charge and magnetic moment have global minima.

Abstract

Particlelike solutions in SU(3) gauge Yang-Mills theory with color magnetic and electric fields sourced by a nonlinear spinor field are obtained. The asymptotic behavior of these fields is studied. It is shown that the electric field exhibits the Coulomb asymptotic behavior, and one of the color components of the magnetic field behaves asymptotically as the field of a magnetic dipole. This allows one to determine the corresponding charge and magnetic moment. It is shown that profiles of the color charge and magnetic moment have global minima, which may be called charge and magnetic moment gaps. The relationship between the total energy of the system and the color charge is obtained. The physical reason for the appearance of the mass, charge, and magnetic moment gaps in the theory under consideration is discussed.