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arXiv · 1312.3696

Theory of Classical Higgs Fields. I. Matter Fields

G. Sardanashvily·A. Kurov
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Abstract

Higgs fields are attributes of classical gauge theory on a principal bundle $P\to X$ whose structure Lie group $G$ if is reducible to a closed subgroup $H$. They are represented by sections of the quotient bundle $P/H\to X$. A problem lies in description of matter fields with an exact symmetry group $H$. They are represented by sections of a composite bundle which is associated to an $H$-principal bundle $P\to P/H$. It is essential that they admit an action of a gauge group $G$.

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G. Sardanashvily, A. Kurov. 2013-12-13. Theory of Classical Higgs Fields. I. Matter Fields. https://arxiv.org/abs/1312.3696

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