Poisson brackets of the constraints in the Hamiltonian formulation of tetrad gravity
- 15 February 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 27 (4) , 986-989
- https://doi.org/10.1103/physrevd.27.986
Abstract
The Poisson brackets of the constraints are explicitly computed for various equivalent forms of canonical gravity with tetrads. This study sheds useful insights on the supergravity "algebra" and is necessary for the Hamiltonian formulation of the path integral. The shortcomings of a method devised some time ago for this kind of calculation are clarified.Keywords
This publication has 13 references indexed in Scilit:
- Quantum mechanics of the gravitational fieldPhysical Review D, 1982
- Transversality of the Rarita-Schwinger self-energy, Ward identities, and dimensional regularizationPhysical Review D, 1980
- Bianchi type-I cosmologies and spinor fieldsPhysical Review D, 1980
- Hamiltonian formulation of the theory of interacting gravitational and electron fieldsAnnals of Physics, 1978
- On geometrodynamics with tetrad fieldsGeneral Relativity and Gravitation, 1978
- The canonical formulation of supergravityNuclear Physics B, 1978
- Quantization of relativistic systems with boson and fermion first- and second-class constraintsPhysics Letters B, 1978
- Relativistic S-matrix of dynamical systems with boson and fermion constraintsPhysics Letters B, 1977
- Canonical vierbein form of general relativityPhysical Review D, 1976
- How commutators of constraints reflect the spacetime structureAnnals of Physics, 1973