Discretisations, Constraints and Diffeomorphisms in Quantum Gravity

Details Discretisations, Constraints and Diffeomorphisms in Quantum Gravity Discretisations, Constraints and Diffeomorphisms in Quantum Gravity

2011-11-08

arxiv.org/abs/1111.1879v2

SIGMA 8 (2012), 002, 29 pages

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Contribution for a special issue of SIGMA on Loop Quantum Gravity and Cosmology

Scientific paper

10.3842/SIGMA.2012.002

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 review the Consistent Discretizations approach, which is an application of the master constraint program to construct the physical Hilbert space of the canonical theory, as well as the Perfect Actions approach, which aims at finding a path integral measure with the correct symmetry behavior under diffeomorphisms.

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