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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/5554
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dc.contributor.authorVaradarajan, Madhavan-
dc.date.accessioned2013-04-24T06:39:32Z-
dc.date.available2013-04-24T06:39:32Z-
dc.date.issued2013-02-15-
dc.identifier.citationPhysical Review D, 2013, Vol.87, p044040en
dc.identifier.issn1550-7998-
dc.identifier.issn1550-2368(Online)-
dc.identifier.urihttp://hdl.handle.net/2289/5554-
dc.descriptionOpen Access.en
dc.description.abstractThe GNewton→0 limit of Euclidean gravity introduced by Smolin is described by a generally covariant U(1)3 gauge theory. In an earlier paper, Tomlin and Varadarajan constructed the quantum Hamiltonian constraint of density weight 4/3 for this U(1)3 theory so as to produce a nontrivial anomaly-free loop quantum gravity type representation of the Poisson bracket between a pair of Hamiltonian constraints. These constructions involved a choice of regulating coordinate patches. The use of these coordinate patches is in apparent conflict with spatial diffeomorphism covariance. In this work we show how an appropriate choice of coordinate patches together with suitable modifications of these constructions results in the diffeomorphism covariance of the continuum limit action of the Hamiltonian constraint operator, while preserving the anomaly-free property of the continuum limit action of its commutator.en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttp://dx.doi.org/10.1103/PhysRevD.87.044040en
dc.relation.urihttp://arxiv.org/abs/1210.6877en
dc.relation.urihttp://adsabs.harvard.edu/abs/2013PhRvD..87d4040Ven
dc.rights2013 American Physical Societyen
dc.subjectLoop quantum gravityen
dc.subjectquantum geometryen
dc.subjectspin foamsen
dc.subjectCanonical quantizationen
dc.titleTowards an anomaly-free quantum dynamics for a weak coupling limit of Euclidean gravity: Diffeomorphism covarianceen
dc.typeArticleen
Appears in Collections:Research Papers (TP)

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