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arXiv · 1004.4945

Generalized Jacobi Elliptic One-Monopole - Type A

Rosy Teh·Khai-Ming Wong·Kok-Geng Lim
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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 $\theta$-winding number $m=1$ and $\phi$-winding number $n=1$ 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.

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Rosy Teh, Khai-Ming Wong, Kok-Geng Lim. 2010-04-28. Generalized Jacobi Elliptic One-Monopole - Type A. https://doi.org/10.1142/s0217751x10051062

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