Open Access Peer-reviewed

On ’t Hooft–Polyakov Monopole, Julia–Zee Dyon, and Higgs Field, throughout the Generalized Bogomoln’yi Equations

Lukasz Andrzej Glinka
B.M. Birla Science Centre, Hyderabad, India
Applied Mathematics and Physics. 2014, 2(3), 119-123. DOI: 10.12691/amp-2-3-8
Published online: August 25, 2017

Abstract

In this paper, making use of the’tHooft–Polyakov–Julia–Zeeansatz for the SU(2) Yang–Mills–Higgs gauge field theory, we present the straightforward generalization of the Bogomoln’yi equations and its several consequences. Particularly, this is shown that this idea is able to generate new types of non-abelian both dyons and magnetic monopoles and, moreover, that within the new model the scalar field can be described through the Coulomb potential, whereas, upto aconstant, the non-abelian gauge field becomes the Wu–Yang monopole.

Keywords:

gauge field theories, SU (2), Yang–Mills–Higgs equations, ’t Hooft–Polyakov monopole, Julia–Zee dyon, Bogomoln’yi equations, BPS limit, non-abelian dyons, non-abelian magnetic monopoles, Higgs field, Coulomb potential, Wu–Yang monopole
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