Generalized BPS magnetic monopoles

TL;DR

This paper demonstrates the existence of BPS magnetic monopoles within a generalized Yang-Mills-Higgs framework, revealing new solutions with varied characteristic lengths that could model nonabelian field dynamics in chromoelectric media.

Contribution

It introduces a generalized model with two positive functions and derives explicit BPS monopole solutions, expanding the understanding of topological solutions in nonabelian gauge theories.

Findings

Existence of BPS monopoles in the generalized model.

New solutions with different characteristic lengths.

Consistency of the generalized construction verified.

Abstract

We show the existence of Bogomol'nyi-Prasad-Sommerfield (BPS) magnetic monopoles in a generalized Yang-Mills-Higgs model which is controlled by two positive functions. This effective model, in principle, would describe the dynamics of the nonabelian fields in a chromoelectric media. We check the consistency of our generalized construction by analyzing an explicit case ruled by a real parameter. We also use the well-known spherically symmetric Ansatz to attain the corresponding self-dual equations describing the topological solutions. The overall conclusion is that the new solutions behave around the canonical one, with smaller or greater characteristic length.