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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container_title Classical and quantum gravity
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creator Henderson, Adam
Rovelli, Carlo
Vidotto, Francesca
Wilson-Ewing, Edward
description 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.
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subjects Exact sciences and technology
General relativity and gravitation
General Relativity and Quantum Cosmology
Physics
title Local spinfoam expansion in loop quantum cosmology
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