Local spinfoam expansion in loop quantum cosmology

The quantum dynamics of the flat Friedmann-Lemaitre-Robertson-Walker and Bianchi I models defined by loop quantum cosmology have recently been translated into a spinfoam-like formalism. The construction is facilitated by the presence of a massless scalar field which is used as an internal clock. The...

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Veröffentlicht in:Classical and quantum gravity 2011-01, Vol.28 (2), p.025003
Hauptverfasser: Henderson, Adam, Rovelli, Carlo, Vidotto, Francesca, Wilson-Ewing, Edward
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Sprache:eng
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Zusammenfassung:The quantum dynamics of the flat Friedmann-Lemaitre-Robertson-Walker and Bianchi I models defined by loop quantum cosmology have recently been translated into a spinfoam-like formalism. The construction is facilitated by the presence of a massless scalar field which is used as an internal clock. The implicit integration over the matter variable leads to a nonlocal spinfoam amplitude. In this paper we consider a vacuum Bianchi I universe and show that by choosing an appropriate regulator a spinfoam expansion can be obtained without selecting a clock variable and that the resulting spinfoam amplitude is local.
ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/28/2/025003