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 TMF, 1985, Volume 65, Number 1, Pages 108–118 (Mi tmf5066)

Kinetic term for the Lorentz connection

M. O. Katanaev

Abstract: The most general five-parameter Lagrangian quadratic in the curvature giving the kinetic term for the Lorentz connection is considered. The canonical Hamiltonian is constructed in the tetrad and Lorentz connection variables and in the time gauge for the tetrad field. The condition that the quadratic lorm of the generalized momenta for the Lorentz connection be positive definite is used to find a two-parameter Lagrangian that is a sum of squares of the scalar curvature and the pseudoscalar dual to the curvature tensor. The primary constraints have the consequence that among the dynamical components of the Lorentz connection there remain only two scalar components of opposite parity.

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English version:
Theoretical and Mathematical Physics, 1985, 65:1, 1043–1050

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Document Type: Article

Citation: M. O. Katanaev, “Kinetic term for the Lorentz connection”, TMF, 65:1 (1985), 108–118; Theoret. and Math. Phys., 65:1 (1985), 1043–1050

Citation in format AMSBIB
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This publication is cited in the following articles:
1. M. O. Katanaev, “Kinetic part of dynamical torsion theory”, Theoret. and Math. Phys., 72:1 (1987), 735–741
2. Yu. N. Obukhov, I. V. Yakushin, “Experimental bounds on parameters of spin-spin interaction in gauge theory of gravitation”, Theoret. and Math. Phys., 90:2 (1992), 209–213
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