Gauge gravitation theory. Gravity as a Higgs field

Автор: Sardanashvily G.
Сборник: 20th International Summer School on Global Analysis and its Applications. Extended Abstract Book
Тезисы
Год издания: 2015
Место издания: Presov Univ. Press Slovakia
Первая страница: 12
Последняя страница: 12
DOI: 10.13140/RG.2.1.1075.8880
Аннотация: Classical gravitation theory on a world manifold X is formulated as gauge theory on natural bundles over X which admit general covariant transformations as the canonical functorial lift of diffeomorphisms of their base X. Natural bundles are exemplified by a principal linear frame bundle LX → X and the associated, (e.g., tensor) bundles. This is metric-affine gravitation theory whose dynamic variables are general linear connections (principal connections on LX) and a metric (tetrad) gravitational field. The latter is represented by a global section of the quotient bundle Σ = LX/L and, thus, it is treated as a classical Higgs field responsible for the reduction of a structure group GL(4, R) of LX to a Lorentz group SO(1, 3). The underlying physical reason of this reduction is both the geometric Equivalence Principle and the existence of Dirac spinor fields. Herewith, a structure Lorentz group of LX always is reducible to its maximal compact subgroup SO(3) that provides a world manifold
Добавил в систему: Сарданашвили Геннадий Александрович

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