Generalized Jacobi Elliptic One-Monopole - Type A
High Energy Physics - Theory
2011-01-27 v1
Abstract
We present new classical generalized one-monopole solution of the SU(2) Yang-Mills-Higgs theory with the Higgs field in the adjoint representation. We show that this generalized solution with -winding number and -winding number is an axially symmetric Jacobi elliptic generalization of the 't Hooft-Polyakov one-monopole. We construct this axially symmetric one-monopole solution by generalizing the large distance asymptotic solution of the 't Hooft-Polyakov one-monopole to the Jacobi elliptic functions and solving the second order equations of motion numerically when the Higgs potential is vanishing and non vanishing. These solutions are regular non-BPS finite energy solutions.
Cite
@article{arxiv.1004.4945,
title = {Generalized Jacobi Elliptic One-Monopole - Type A},
author = {Rosy Teh and Khai-Ming Wong and Kok-Geng Lim},
journal= {arXiv preprint arXiv:1004.4945},
year = {2011}
}
Comments
17 pages, 5 figures