1B.M. Birla Science Centre, Hyderabad, India
Applied Mathematics and Physics.
2014,
Vol. 2 No. 3, 119-123
DOI: 10.12691/amp-2-3-8
Copyright © 2014 Science and Education PublishingCite 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.
Correspondence to: Lukasz Andrzej Glinka, B.M. Birla Science Centre, Hyderabad, India. Email:
laglinka@gmail.com; lukaszglinka@wp.euAbstract
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