Background Geometry in Gauge Gravitation Theory

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dc.creatorSardanashvily, G.
dc.date1997-09-21
dc.date.accessioned2026-07-07T11:08:44Z
dc.date.available2026-07-07T11:08:44Z
dc.descriptionDirac fermion fields are responsible for spontaneous symmetry breaking in gauge gravitation theory because the spin structure associated with a tetrad field is not preserved under general covariant transformations. Two solutions of this problem can be suggested. (i) There exists the universal spin structure $S\to X$ such that any spin structure $S^h\to X$ associated with a tetrad field $h$ is a subbundle of the bundle $S\to X$. In this model, gravitational fields correspond to different tetrad (or metric) fields. (ii) A background tetrad field $h$ and the associated spin structure $S^h$ are fixed, while gravitational fields are identified with additional tensor fields $q^\la{}_\m$ describing deviations $\wt h^\la_a=q^\la{}_\m h^\m_a$ of $h$. One can think of $\wt h$ as being effective tetrad fields. We show that there exist gauge transformations which keep the background tetrad field $h$ and act on the effective fields by the general covariant transformation law. We come to Logunov's Relativistic Theory of Gravity generalized to dynamic connections and fermion fields.
dc.description12 pages, LaTeX, no figures
dc.identifierhttps://arxiv.org/abs/gr-qc/9709054
dc.identifierhttp://arxiv.org/abs/gr-qc/9709054
dc.identifierTheor.Math.Phys.114:368-375,1998; Teor.Mat.Fiz.114:470-480,1998
dc.identifierdoi:10.1007/BF02575449
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190237
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleBackground Geometry in Gauge Gravitation Theory
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