Discretisations, Constraints and Diffeomorphisms in Quantum Gravity

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 08 Jan 2012Embargo end date: 01 Jan 2011Publisher:SIGMA (Symmetry, Integrability and Geometry: Methods and Application)Journal:Symmetry, Integrability and Geometry: Methods and Applications (eissn: 1815-0659,

Copyright policy )Funded by:FCT | D4

Authors: Bahr, B.; Gambini, R.; Pullin, J.;

doi: 10.3842/sigma.2012.002 , 10.48550/arxiv.1111.1879

arXiv: 1111.1879

Discretisations, Constraints and Diffeomorphisms in Quantum Gravity

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Abstract

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.

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

Related Organizations

Louisiana State University
United States
University of Cambridge
United Kingdom

Keywords

High Energy Physics - Theory, Constrained dynamics, Dirac's theory of constraints, diffeomorphisms, High Energy Physics - Lattice (hep-lat), consistent discretizations, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory, Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism, Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory, Renormalization group methods in equilibrium statistical mechanics, General Relativity and Quantum Cosmology, renormalization, Applications of differential geometry to physics, gauge symmetries, High Energy Physics - Lattice, High Energy Physics - Theory (hep-th), quantum gravity, QA1-939, perfect actions, Quantization of the gravitational field, constraints, Mathematics

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