Type A Jacobi Elliptic One‐Monopole
- Conference date: 7–9 December 2009
- Location: Malacca (Malaysia)
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‐winding number and φ‐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. This solution is a regular non‐BPS finite energy solution.
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