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A local Hamiltonian for spherically symmetric gravity coupled to a scalar field
Nestor Alvarez, Rodolfo Gambini, Jorge Pullin
We present a gauge fixing of gravity coupled to a scalar field in spherical symmetry such that the Hamiltonian is an integral over space of a local density. Such a formulation had…
Discretisations, Constraints and Diffeomorphisms in Quantum Gravity
Benjamin Bahr, Rodolfo Gambini, Jorge Pullin
In this review we discuss the interplay between discretization, constraint implementation, and diffeomorphism symmetry in Loop Quantum Gravity and Spin Foam models. To this end we…
Small Lorentz violations in quantum gravity: do they lead to unacceptably large effects?
Rodolfo Gambini, Saeed Rastgoo, Jorge Pullin
We discuss the applicability of the argument of Collins, Pérez, Sudarsky, Urrutia and Vucetich to loop quantum gravity. This argument suggests that Lorentz violations, even ones th…
Quantum scalar field in quantum gravity: the propagator and Lorentz invariance in the spherically symmetric case
Rodolfo Gambini, Jorge Pullin, Saeed Rastgoo
We recently studied gravity coupled to a scalar field in spherical symmetry using loop quantum gravity techniques. Since there are local degrees of freedom one faces the "problem o…