The Projector on physical states in loop quantum gravity
Jun, 199815 pages
Published in:
- Phys.Rev.D 59 (1999) 104015
e-Print:
- gr-qc/9806121 [gr-qc]
Report number:
- CPT-98-P3707
View in:
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Abstract: (arXiv)
We construct the operator that projects on the physical states in loop quantum gravity. To this aim, we consider a diffeomorphism invariant functional integral over scalar functions. The construction defines a covariant, Feynman-like, spacetime formalism for quantum gravity and relates this theory to the spin foam models. We also discuss how expectation values of physical quantity can be computed.Note:
- 15 pages, 2 figures, substantially revised version
- quantum gravity: nonperturbative
- loop space
- measure
- diffeomorphism: invariance
- space-time
- propagator: regularization
- spin: foam
- Hilbert space
- Hamiltonian formalism: constraint
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