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

Lukasz Andrzej Glinka^1,

¹B.M. Birla Science Centre, Hyderabad, India

Cite this paper:
Lukasz Andrzej Glinka. On ’t Hooft–Polyakov Monopole, Julia–Zee Dyon, and Higgs Field, throughout the Generalized Bogomoln’yi Equations. Applied Mathematics and Physics. 2014; 2(3):119-123. doi: 10.12691/amp-2-3-8

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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