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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/5861
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dc.contributor.authorHenderson, Adam-
dc.contributor.authorLaddha, Alok-
dc.contributor.authorTomlin, Casey-
dc.date.accessioned2014-02-25T10:54:33Z-
dc.date.available2014-02-25T10:54:33Z-
dc.date.issued2013-08-
dc.identifier.citationPhysical Review D, 2013, Vol.88, p044028en
dc.identifier.issn1550-7998-
dc.identifier.issn1550-2368(Online)-
dc.identifier.urihttp://hdl.handle.net/2289/5861-
dc.descriptionOpen Accessen
dc.description.abstractWe analyze the issue of anomaly-free representations of the constraint algebra in loop quantum gravity (LQG) in the context of a diffeomorphism-invariant U(1)3 theory in three spacetime dimensions. We construct a Hamiltonian constraint operator whose commutator matches with a quantization of the classical Poisson bracket involving structure functions. Our quantization scheme is based on a geometric interpretation of the Hamiltonian constraint as a generator of phase space-dependent diffeomorphisms. The resulting Hamiltonian constraint at finite triangulation has a conceptual similarity with the μ¯ scheme in loop quantum cosmology and highly intricate action on the spin-network states of the theory. We construct a subspace of non-normalizable states (distributions) on which the continuum Hamiltonian constraint is defined which leads to an anomaly-free representation of the Poisson bracket of two Hamiltonian constraints in loop quantized framework. Our work, along with the work done in [C. Tomlin and M. Varadarajan, Phys. Rev. D 87, 044039 (2013)], suggests a new approach to the construction of anomaly-free quantum dynamics in Euclidean LQG.en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttp://arxiv.org/abs/1204.0211en
dc.relation.urihttp://dx.doi.org/10.1103/PhysRevD.88.044028en
dc.relation.urihttp://adsabs.harvard.edu/abs/2013PhRvD..88d4028Hen
dc.rights2013 American Physical Societyen
dc.titleConstraint algebra in loop quantum gravity reloaded. I. Toy model of a U(1)3 gauge theoryen
dc.typeArticleen
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