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- W3048772714 abstract "The Hamiltonian formulation of $lambda$-$R$ theories of gravity is studied. In contrast to general relativity, the constraint algebra of $lambda$-$R$ gravity forms a Lie algebra. By canonical transformations, we further obtain the connection-dynamical formalism of the $lambda$-R gravity theories with real $su(2)$-connections as configuration variables. This formalism enable us to extend the scheme of non-perturbative loop quantum gravity to the $lambda$-$R$ gravity. While the quantum kinematical framework is the same as that for general relativity, the Hamiltonian constraint operator of loop quantum $lambda$-$R$ gravity can be well defined in the diffeomorphism-invariant Hilbert space. Moreover, by introducing the non-rotational dust for the deparametrization, a physical Hamiltonian operator with respect to the dust can be defined and the physical states satisfying all the constraints are obtained." @default.
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- W3048772714 date "2020-08-11" @default.
- W3048772714 modified "2023-09-27" @default.
- W3048772714 title "Canonical loop quantization of $lambda$-$R$ gravity" @default.
- W3048772714 hasPublicationYear "2020" @default.
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