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Journal Article

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

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons49233

Smerlak,  Matteo
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1201.4996
(Preprint), 171KB

PRL108_241303.pdf
(Any fulltext), 121KB

Supplementary Material (public)
There is no public supplementary material available
Citation

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.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000E-E9D0-1
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.