Gauge symmetries in spin-foam gravity: the case for "cellular quantization".
Phys Rev Lett
; 108(24): 241303, 2012 Jun 15.
Article
em En
| MEDLINE
| ID: mdl-23004257
ABSTRACT
The spin-foam 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 spin-foam 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, and (4) corresponds to its loop quantization. These results significantly clarify the foundations--and limitations--of the spin-foam formalism and open the path to understanding, in a discrete setting, the symmetry-breaking which reduces BF theory to gravity.
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MEDLINE
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En
Ano de publicação:
2012
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Article