Phys. Rev. Lett. 84, 2314–2317 (2000)Consistent Canonical Quantization of General Relativity in the Space of Vassiliev InvariantsReceived 17 September 1999; published in the issue dated 13 March 2000 We present a quantization of the Hamiltonian and diffeomorphism constraint of canonical quantum gravity in the spin network representation. The novelty consists in considering a space of wave functions based on the Vassiliev invariants. The constraints are finite, well defined, and reproduce at the level of quantum commutators the Poisson algebra of constraints of the classical theory. A similar construction can be carried out in 2+1 dimensions leading to the correct quantum theory. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.2314
DOI:
10.1103/PhysRevLett.84.2314
PACS:
04.60.Ds, 02.40.Hw
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.