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arXiv · 1412.3753

Theory of Classical Higgs Fields. III. Metric-affine gauge theory

G. Sardanashvily·A. Kurov
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Abstract

We consider classical gauge theory with spontaneous symmetry breaking on a principal bundle $P\to X$ whose structure group $G$ is reducible to a closed subgroup $H$, and sections of the quotient bundle $P/H\to X$ are treated as classical Higgs fields. Its most comprehensive example is metric-affine gauge theory on the category of natural bundles where gauge fields are general linear connections on a manifold $X$, classical Higgs fields are arbitrary pseudo-Riemannian metrics on $X$, and matter fields are spinor fields. In particular, this is the case of gauge gravitation theory.

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G. Sardanashvily, A. Kurov. 2014-12-11. Theory of Classical Higgs Fields. III. Metric-affine gauge theory. https://arxiv.org/abs/1412.3753

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