Abstract
A new approach to the theory of compensating fields is given. The theory is extended to the case of an arbitrary Lie group and leads to a nonlinear field theory, describing the interaction of physical fields and the generation by this interaction of a non-Euclidean space-time geometry, generalizing the well-known result of the Einstein theory on the connection between geometry and matter. The theory is applied to a number of groups.
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B. N. Frolov and G. A. Sardanashvili, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 9 (1974).
N. P. Konopleva and V. N. Popov, Gauge Fields [in Russian], Atomizdat, Moscow (1972).
B. N. Frolov, Vestnik Mos. Cos. Univ., Fiz.,6, 48 (1963).
V. N. Ponomarev, Inst. Theor. Phys. Preprint Itf — 73 — 69R, Kiev.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 128–134, December, 1974.
The author is grateful to Professor D. D. Ivanenko, who has made such significant contributions to the development of the theory of compensation and its nonlinear generalizations and to the treatment of gravitation as a gauge field. The author also wishes to thank B. N. Frolov and V. N. Ponomarev for valuable discussions.
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Sardanashvili, G.A. Compensation, nonlinearity, and geometry. Soviet Physics Journal 17, 1741–1745 (1974). https://doi.org/10.1007/BF00892889
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DOI: https://doi.org/10.1007/BF00892889