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arXiv · 0802.2016

Symmetry breaking of gauge theories down to Abelian sub-groups

Abstract

I re-derive the lowest order effective Lagrangian for electro-weak symmetry breaking without the use of Goldstone's theorem for spontaneously broken global symmetries and without the assumption of a custodial symmetry. I consider the breaking of a local symmetry with gauge group G down to an Abelian sub-group K and construct a gauge-invariant functional with one free parameter v, such that v=0 corresponds to a gauge theory with gauge group G, while v --> infinity corresponds to a gauge theory with gauge group K.

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Stefan Weinzierl. 2008-02-14. Symmetry breaking of gauge theories down to Abelian sub-groups. https://arxiv.org/abs/0802.2016

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