Monopoles without magnetic charges: Finite energy monopole-antimonopole configurations in CP1 model and restricted QCD

TL;DR

This paper introduces a novel regular monopole-antimonopole configuration in QCD and CP^1 models that lacks localized magnetic charges, with an exact numerical solution demonstrating its feasibility.

Contribution

It presents the first exact numerical solution for a monopole-antimonopole pair without magnetic charges in the CP^1 model, suggesting possible existence in QCD and electroweak theories.

Findings

Exact numerical solution for monopole-antimonopole pair

Regular monopole configurations without localized magnetic charges

Potential relevance to QCD and electroweak models

Abstract

We propose a new type of regular monopole-like field configuration in quantum chromodynamics (QCD) and CP^1 model. The monopole configuration can be treated as a monopole-antimonopole pair without localized magnetic charges. An exact numeric solution for a simple monopole-antimonopole solution has been obtained in CP^1 model with an appropriate potential term. We suppose that similar monopole solutions may exist in effective theories of QCD and in the electroweak standard model.