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arXiv · hep-th/9706206

Bogomol'nyi equations in gauge theories

M. S. Cunha·H. R. Christiansen·C. A. S. Almeida
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Abstract

By imposing self-duality conditions, we obtain the explicit form in which gauge theories spontaneously breakdown in the Bogomol'nyi limit. In this context, we reconsider the Abelian Higgs, Chern-Simons Higgs and Maxwell-Chern-Simons Higgs models. On the same footing, we find a topological Higgs potential for a Maxwell-Chern-Simons extended theory presenting both minimal and nonminimal coupling. Finally, we perform a numerical calculation in the asymmetric phase and show the solutions to the self-dual equations of motion of the topological theory. We argue about certain relations among the parameters of the model in order to obtain such vortex configurations.

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M. S. Cunha, H. R. Christiansen, C. A. S. Almeida. 1997-06-27. Bogomol'nyi equations in gauge theories. https://arxiv.org/abs/hep-th/9706206

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