Canonical quantization of theories with higher derivatives. Quantization of R/sup 2/ gravitation
Ostrogradskii's method for reducing theories with higher derivatives to Hamiltonian form is generalized to make it suitable for application to gauge field theories. A Hamiltonian formalism is constructed for the theory with the Lagrangian L-g(anti ..lambda.. - (1/x/sup 2/)R+aR/sub ..mu..v/R/sup ..mu..v/+bR/sup 2/). The structure of the constraints of this theory is investigated, and it is shown that, depending on the relationship between the parameters anti ..lambda.., x, a, b, five different variants of the theory are possible. In each of them, canonical quantization is performed and a local measure in the functional integral is found. The general form of local measure for an arbitrary boson theory interacting with gravity is established.
- Research Organization:
- Lenin Komsomol State Pedagogical Institute, Tomsk (USSR)
- OSTI ID:
- 6440096
- Journal Information:
- Theor. Math. Phys.; (United States), Vol. 72:2; Other Information: Translated from Teoreticheskaya Matematicheskaya Fizika; 72: No. 2, 204-218(Aug 1987)
- Country of Publication:
- United States
- Language:
- English
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