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dc.contributor.authorVaradarajan, Madhavan-
dc.identifier.citationClassical and Quantum Gravity, 2021, Vol.38, p135020en_US
dc.identifier.issn1361-6382 (Online)-
dc.descriptionRestricted Access. An open-access version is available at (one of the alternative locations)en_US
dc.description.abstractLoop quantum gravity (LQG) is a non-perturbative attempt at quantization of a classical phase space description of gravity in terms of SU(2) connections and electric fields. As emphasized recently Ashtekar and Varadarajan (2020 arXiv:2012.12094 [gr-qc]), on this phase space, classical gravitational evolution in time can be understood in terms of certain gauge covariant generalizations of Lie derivatives with respect to a spatial SU(2) Lie algebra valued vector field called the electric shift. We present a derivation of a quantum dynamics for Euclidean LQG which is informed by this understanding. In addition to the physically motivated nature of the action of the Euclidean Hamiltonian constraint so derived, the derivation implies that the spin labels of regulating holonomies are determined by corresponding labels of the spin network state being acted upon thus eliminating the 'spin j-ambiguity' pointed out by Perez. By virtue of Thiemann's seminal work, the Euclidean quantum dynamics plays a crucial role in the construction of the Lorentzian quantum dynamics so that our considerations also have application to Lorentzian LQG.en_US
dc.publisherIOP Publishingen_US
dc.rights2021 IOP Publishing Ltd.en_US
dc.subjectloop quantum gravityen_US
dc.subjectHamiltonian constrainten_US
dc.subjectcanonical gravityen_US
dc.titleEuclidean LQG dynamics: an electric shift in perspectiveen_US
Appears in Collections:Research Papers (TP)

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