Complex topological soliton with real energy in particle physics

TL;DR

This paper reviews methods for calculating classical masses of fundamental particles and monopoles in non-Hermitian gauge theories, analyzing conditions under which monopole solutions have real energies across different physical regimes.

Contribution

It introduces a procedure to determine the classical masses of particles and monopoles in non-Hermitian gauge theories and explores the conditions for real monopole energies.

Findings

Classical masses of Higgs, gauge bosons, and monopoles are computed.

The physical regions where solutions are real are identified.

Mechanisms ensuring real monopole energies are analyzed.

Abstract

We summarise the procedure used to find the classical masses of Higgs particle, massive gauge boson and t'Hooft-Polyakov monopole in non-Hermitian gauge field theory. Their physical regions are explored, and the mechanism of the real value of the monopole solution is analysed in different physical regions.