Local spinfoam expansion in loop quantum cosmology
General Relativity and Quantum Cosmology
2011-01-17 v2
Abstract
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.
Cite
@article{arxiv.1010.0502,
title = {Local spinfoam expansion in loop quantum cosmology},
author = {Adam Henderson and Carlo Rovelli and Francesca Vidotto and Edward Wilson-Ewing},
journal= {arXiv preprint arXiv:1010.0502},
year = {2011}
}
Comments
12 pages