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  On knottings in the physical Hilbert space of LQG as given by the EPRL model

Bahr, B. (2011). On knottings in the physical Hilbert space of LQG as given by the EPRL model. Classical and quantum gravity, 28(4): 045002. doi:10.1088/0264-9381/28/4/045002.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-105A-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-105B-5
Genre: Journal Article

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1006.0700 (Preprint), 304KB
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 Creators:
Bahr, Benjamin1, Author              
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:102878              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: We consider the EPRL spin foam amplitude for arbitrary embedded two-complexes. Choosing a definition of the face- and edge amplitudes which lead to spin foam amplitudes invariant under trivial subdivisions, we investigate invariance properties of the amplitude under consistent deformations, which are deformations of the embedded two-complex where faces are allowed to pass through each other in a controlled way. Using this surprising invariance, we are able to show that in the physical Hilbert space as defined by the sum over all spin foams contains no knotting classes of graphs anymore.

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 Dates: 2010-06-032011
 Publication Status: Published in print
 Pages: 22 pages, 14 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1006.0700
DOI: 10.1088/0264-9381/28/4/045002
URI: http://arxiv.org/abs/1006.0700
 Degree: -

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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 28 (4) Sequence Number: 045002 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925513480_1