Recently, a new type of classical generalized Jacobi elliptic one monopole solutions of the SU(2) Yang-Mills-Higgs theory are constructed with the Higgs field in the adjoint representation. In this paper, we will extend the numerical work done on Jacobi elliptic monopoles by solving the Yang-Mills-Higgs equations with higher φ-winding number, n=1,2,3,4,5, when the Higgs potential is non-vanishing (λ=0.5,1). We calculated that all these solutions possess the same total energy as the generalized ’t Hooft-Polyakov monopole. We noticed that when the parameter, q, of the generalized Jacobi elliptic functions is a half integer, the Jacobi elliptic monopoles are distorted and the center of mass are shifted away from origin. Due to the distortion, the monopoles exhibit magnetic dipole moment. When the φ-winding number, n=1, the Higgs modulus possess a point zero, however, as n increases, the number of zeroes of the Higgs modulus increases in the direction perpendicular to the z-axis.
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8 May 2013
2012 NATIONAL PHYSICS CONFERENCE: (PERFIK 2012)
19–21 November 2012
Colmar Tropicale, Bukit Tinggi, Pahang, Malaysia
Research Article|
May 08 2013
Generalized Jacobi elliptic n-monopole type A
Pei-Yen Tan;
Pei-Yen Tan
School of Physics, Universiti Sains Malaysia, 11800 USM Penang,
Malaysia
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Rosy Teh;
Rosy Teh
School of Physics, Universiti Sains Malaysia, 11800 USM Penang,
Malaysia
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Khai-Ming Wong
Khai-Ming Wong
School of Physics, Universiti Sains Malaysia, 11800 USM Penang,
Malaysia
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AIP Conf. Proc. 1528, 219–224 (2013)
Citation
Pei-Yen Tan, Rosy Teh, Khai-Ming Wong; Generalized Jacobi elliptic n-monopole type A. AIP Conf. Proc. 8 May 2013; 1528 (1): 219–224. https://doi.org/10.1063/1.4803598
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