Gauge theory of gravity

Sardanashvily, G.

Автор: Sardanashvily G.
Сборник: Problems of Modern Physics
Год издания: 1991
Издательство: WORLD SCIENTIFIC PUBL CO PTE LTD
Местоположение издательства: 5 TOH TUCK LINK, SINGAPORE,SINGAPORE, 596224
Первая страница: 75
Последняя страница: 99
DOI: 10.1142/9789814368148_0005
Аннотация: Gauge theory of gravity is the gauge one of space-time symmetries broken spontaneously owing to Dirac fermion fields possessing only exact Lorentz symmetries. Different tetrad gravitational fields h and h′ define nonisomorphic representations γh and γh′ of cotangent vectors to a world manifold x4 by Dirac's γ-matrices on fermion fields. One needs these representations in order to construct the Dirac operator. Dirac fermion fields therefore must be considered only in a pair with a certain gravitational field. We describe the complex of such fermion-gravitation pairs by means of a spinor bundle over a multidimensional space parameterized by coordinates of X4 and elements of the quotient space GL+ (4, ℝ)/S0(3,1). As a consequence, gravitational fields h′ fail to form an affine space modeled on a linear space of deviations h′-h of some background field h. By the conventional quantum field theory, they therefore can not be quantized. At the same time, given h, deformations of the representation γh yield deviations σ of h such that h+σ is not a gravitational field. Their Lagrangian differs from familiar gravitation Lagrangians, e.g., it contains mass-like terms. These deviations form a linear space. They can be quantized. We predict transmutations of h+σ into h′ which may violate the energy conservation law.
Добавил в систему: Сарданашвили Геннадий Александрович

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