Magnetic monopoles in multi-vector boson theories

TL;DR

This paper derives a classical magnetic monopole solution in a multi-vector boson theory with a specific gauge symmetry breaking pattern, providing a new analytical approach and explicit mass formula.

Contribution

It introduces a novel monopole solution in a multi-vector boson framework with a combined sigma-model and Higgs mechanism, expanding the understanding of monopoles in complex gauge theories.

Findings

Monopole mass scales as rac{4\u03c0}g rac{v}{\u221a{N+1}}

Explicit classical solution found using variational methods

The model combines dimensional deconstruction with Higgs symmetry breaking

Abstract

A classical solution for a magnetic monopole is found in a specific multi-vector boson theory. We consider the model whose $[SU(2)]^{N+1}$ gauge group is broken by sigma-model fields (\`a la dimensional deconstruction) and further spontaneously broken by an adjoint scalar (\`a la triplet Higgs mechanism). In this multi-vector boson theory, we find the solution for the monopole whose mass is $M_N\sim\frac{4\pi v}{g}\sqrt{N+1}$, where $g$ is the common gauge coupling constant and $v$ is the vacuum expectation value of the triplet Higgs field, by using a variational method with the simplest set of test functions.