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  On the Expansions in Spin Foam Cosmology

Hellmann, F. (2011). On the Expansions in Spin Foam Cosmology. Physical Review D, 84: 103516. doi:10.1103/PhysRevD.84.103516.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-3B77-5 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-3B78-3
Genre: Journal Article

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1105.1334 (Preprint), 171KB
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 Creators:
Hellmann, Frank1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We discuss the expansions used in spin foam cosmology. We point out that already at the one vertex level arbitrarily complicated amplitudes contribute, and discuss the geometric asymptotics of the five simplest ones. We discuss what type of consistency conditions would be required to control the expansion. We show that the factorisation of the amplitude originally considered is best interpreted in topological terms. We then consider the next higher term in the graph expansion. We demonstrate the tension between the truncation to small graphs and going to the homogeneous sector, and conclude that it is necessary to truncate the dynamics as well.

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 Dates: 2011-05-062012-01-312011
 Publication Status: Published in print
 Pages: 17 pages, 4 figures, published version
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1105.1334
DOI: 10.1103/PhysRevD.84.103516
URI: http://arxiv.org/abs/1105.1334
 Degree: -

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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 84 Sequence Number: 103516 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258