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arXiv · 1506.04410

Spontaneous symmetry breaking, and strings defects in hypercomplex gauge field theories

R. Cartas-Fuentevilla·O. Meza-Aldama
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Abstract

Inspired by the appearance of split-complex structures in the dimensional reduction of string theory, and in the theories emerging as byproducts, we study the hyper-complex formulation of Abelian gauge field theories, by incorporating a new complex unit to the usual complex one. The hypercomplex version of the traditional Mexican hat potential associated with the $U(1)$ gauge field theory, corresponds to a {\it hybrid} potential with two real components, and with $U(1)\times SO(1,1)$ as symmetry group. Each component corresponds to a deformation of the hat potential, with the appearance of a new degenerate vacuum. Hypercomplex electrodynamics will show novel properties, such as the spontaneous symmetry breaking scenarios with running masses for the vectorial and scalar Higgs fields, and the Aharonov-Bohm type strings defects as exact solutions; these topological defects may be detected only by quantum interference of charged particles through gauge invariant loop integrals. In a particular limit, the {\it hyperbolic} electrodynamics does not admit topological defects associated with continuous symmetries

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R. Cartas-Fuentevilla, O. Meza-Aldama. 2015-06-14. Spontaneous symmetry breaking, and strings defects in hypercomplex gauge field theories. https://doi.org/10.1140/epjc%2Fs10052-016-3944-9

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