Some comments on the string singularity of the Yang-Mills-Higgs theory

Lim, Kok-Geng and Teh, Rosy (2010) Some comments on the string singularity of the Yang-Mills-Higgs theory. In, Progress of Physics Research in Malasia (PERFIK2009). (AIP Conference Proceedings, 1, 1250) Melville. AIP Publishing, pp. 508-511. (doi:10.1063/1.3469721).

Record type: Book Section

Abstract

We are going to make use of the regulated polar angle which had been introduced by Boulware et al.. to show that in the SU(2) Yang‐Mills‐Higgs theory when the magnetic monopole is carried by the gauge field, the Higgs field does not carry the monopole and vice versa. In the Yang‐Mills‐Higgs theory, our solution shows that when the parameter ε ≠ 0,ε ≠ 0, the monopole is carried by the gauge field and there is a string singularity in the gauge field. When the parameter ε → 0,ε → 0, the monopole is transferred from the gauge field to the Higgs field and the string singularity disappeared. The solution is only singular at the origin, that is at r = 0r = 0 as it becomes the Wu‐Yang monopole.

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