6533b856fe1ef96bd12b2f89
RESEARCH PRODUCT
New solutions of the hamiltonian and diffeomorphism constraints of quantum gravity from a highest weight loop representation
Victor AldayaVictor AldayaJose Navarro-salasJose Navarro-salassubject
PhysicsGeneral Relativity and Quantum CosmologyNuclear and High Energy PhysicsPure mathematicsHamiltonian constraintQuantum mechanicsIrreducible representationTrivial representationWheeler–DeWitt equationQuantum gravityLoop quantum gravityCanonical quantum gravityDiffeomorphism constraintdescription
Abstract We introduce a highest weight type representation of the Rovelli-Smolin algebra of loop observables for quantum gravity. In terms of this representation, new solutions of the hamiltonian and diffeomorphism constraints are given. Assuming the locality of the quantum hamiltonian constraint we show that any functional depending on the generalized link class of the disjoint union of arbitrary simple loops is a solution. Finally we argue that this is the general solution in the irreducible representation space.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1991-04-01 | Physics Letters B |