Discretisations, Constraints and Diffeomorphisms in Quantum Gravity

Discretisations, Constraints and Diffeomorphisms in Quantum Gravity

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 th...

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Bibliographic Details
Main Authors: Benjamin Bahr, Rodolfo Gambini, Jorge Pullin
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2012-01-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
quantum gravity
diffeomorphisms
constraints
consistent discretizations
gauge symmetries
perfect actions
renormalization
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.002
Description
Summary: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.
ISSN:1815-0659

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