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Teoreticheskaya i Matematicheskaya Fizika, 1974, Volume 21, Number 3, Pages 329–342
(Mi tmf3902)
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This article is cited in 147 scientific papers (total in 147 papers)
Theory of dynamical affine and conformal symmetries as the theory of the gravitational field
A. B. Borisov, V. I. Ogievetskii
Abstract:
Invariance under the infinite-parameter generally covariant group is equivalent to simultaneous
invariance under the affine and the conformal group. A nonlinear realization of the
affine group (with linearization on the poincar6 group) leads to a symmetric tensor field as
Goldstone field. The requirement that the theory correspond simultaneously to a realization
of the conformal group as well leads uniquely to the theory of a tensor field whose equations
are Einstein's. This shows that the theory of the gravitational field is the theory of spontaneous
breaking of affine and conformal symmetries in the same way as chiral dynamics is the theory of spontaneous breaking of chiral symmetry. This analogy brings out new aspects of the role of gravitation in the theory of elementary particles.
Received: 29.12.1973
Citation:
A. B. Borisov, V. I. Ogievetskii, “Theory of dynamical affine and conformal symmetries as the theory of the gravitational field”, TMF, 21:3 (1974), 329–342; Theoret. and Math. Phys., 21:3 (1974), 1179–1188
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https://www.mathnet.ru/eng/tmf3902 https://www.mathnet.ru/eng/tmf/v21/i3/p329
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Abstract page: | 857 | Full-text PDF : | 342 | References: | 91 | First page: | 1 |
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