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  Gauge symmetries in spinfoam gravity: the case for "cellular quantization"

Bonzom, V., & Smerlak, M. (2012). Gauge symmetries in spinfoam gravity: the case for "cellular quantization". Physical Review Letters, 108: 241303. doi:10.1103/PhysRevLett.108.241303.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-E9D0-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-E9D1-0
Genre: Journal Article

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1201.4996 (Preprint), 171KB
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 Creators:
Bonzom, Valentin, Author
Smerlak, Matteo1, Author              
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Abstract: The spinfoam approach to quantum gravity rests on a "quantization" of BF theory using 2-complexes and group representations. We explain why, in dimension three and higher, this "spinfoam quantization" must be amended to be made consistent with the gauge symmetries of discrete BF theory. We discuss a suitable generalization, called "cellular quantization", which (1) is finite, (2) produces a topological invariant, (3) matches with the properties of the continuum BF theory, (4) corresponds to its loop quantization. These results significantly clarify the foundations - and limitations - of the spinfoam formalism, and open the path to understanding, in a discrete setting, the symmetry-breaking which reduces BF theory to gravity.

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 Dates: 2012-01-242012
 Publication Status: Published in print
 Pages: 6 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1201.4996
DOI: 10.1103/PhysRevLett.108.241303
URI: http://arxiv.org/abs/1201.4996
 Degree: -

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Title: Physical Review Letters
Source Genre: Journal
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Publ. Info: Woodbury, N.Y., etc. : American Physical Society.
Pages: - Volume / Issue: 108 Sequence Number: 241303 Start / End Page: - Identifier: ISSN: 0031-9007
CoNE: /journals/resource/954925433406_1