Canonical quantum gravity is a theory that aims at constructing a quantum theory of the gravitational field by canonical quantization of the Hamiltonian formulation of the general theory of relativity . The basis of this theory was laid by the American theoretical physicist Bryce DeWitt . In 1967, he published a series of three fundamental works in this direction based on previous research by Peter Bergman , using the so-called canonical quantization methods for Hamiltonian systems with connections. This approach, invented by Paul Dirac , allows you to quantize systems with gauge symmetry by fixing the calibration. New approaches, based in part on the work of Devitt and Dirac, include the Hartl-Hawking method , the Regge calculus , the Wheeler-Devitt equation, and loop quantum gravity .
Links
- B. DeWitt. Quantum theory of gravity I // Physical Review 160, 1113-1148 (1967).
- B. DeWitt. Quantum theory of gravity II: the manifestly covariant theory // Physical Review 162, 1195-1239 (1967).
- B. DeWitt. Quantum theory of gravity III: application of the covariant theory // Physical Review 162, 1239-1256 (1967).
- Systematic presentation:
DeWitt B. S. Dynamic theory of groups and fields: Per. from English / Ed. G.A. Vilkovysky. - M .: Science. Ch. ed. Phys.-Math. lit. - 1987. - 288 p.
Also reprinted reprint: Cherepovets: Mercury-PRESS, 2000. ISBN 5-11-480064-7 . - Gitman D. M., Tyutin I. V. Canonical quantization of systems with constraints. M .: Nauka, 1986.