|
Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 65, Number 1, Pages 108–118
(Mi tmf5066)
|
|
|
|
This article is cited in 3 scientific papers (total in 3 papers)
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.
Received: 17.01.1984
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
Linking options:
https://www.mathnet.ru/eng/tmf5066 https://www.mathnet.ru/eng/tmf/v65/i1/p108
|
|