Generalized Jacobi Elliptic One-Monopole - Type A

Details Generalized Jacobi Elliptic One-Monopole - Type A Generalized Jacobi Elliptic One-Monopole - Type A

2010-04-28

arxiv.org/abs/1004.4945v1

Int.J.Mod.Phys.A25:5731-5746,2010

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 5 figures

Scientific paper

10.1142/S0217751X10051062

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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