Journal
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
Volume 8, Issue -, Pages -Publisher
NATL ACAD SCI UKRAINE, INST MATH
DOI: 10.3842/SIGMA.2012.002
Keywords
quantum gravity; diffeomorphisms; constraints; consistent discretizations; gauge symmetries; perfect actions; renormalization
Categories
Funding
- Division Of Physics
- Direct For Mathematical & Physical Scien [0968871] Funding Source: National Science Foundation
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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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