Symmetry breaking via internal geometry

Andrew Talmadge

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-8

Abstract:

Gauge theories commonly employ complex vector-valued fields to reduce symmetry groups through the Higgs mechanism of spontaneous symmetry breaking. The geometry of the internal space V is tacitly assumed to be the metric geometry of some static, nondynamical hermitian metric k . In this paper, we consider G -principal bundle gauge theories, where G is a subgroup of U ( V , k ) (the unitary transformations on the internal vector space V with hermitian metric k ) and we consider allowing the hermitian metric on the internal space V to become an additional dynamical element of the theory. We find a mechanism for interpreting the Higgs scalar field as a feature of the geometry of the internal space while retaining the successful aspects of the Higgs mechanism and spontaneous symmetry breaking

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:976956

DOI: 10.1155/IJMMS.2005.2023

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