English

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 θ\theta-winding number m=1m=1 and ϕ\phi-winding number n=1n=1 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.

Keywords

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

R2 v1 2026-06-21T15:15:43.976Z