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  Holonomy observables in Ponzano-Regge type state sum models

Barrett, J. W., & Hellmann, F. (2012). Holonomy observables in Ponzano-Regge type state sum models. Classical and quantum gravity, 29(4): 045006. doi:10.1088/0264-9381/29/4/045006.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000E-95FD-9 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000E-95FE-7
Genre: Journal Article

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 Creators:
Barrett, John W., Author
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,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: We study observables on group elements in the Ponzano-Regge model. We show that these observables have a natural interpretation in terms of Feynman diagrams on a sphere and contrast them to the well studied observables on the spin labels. We elucidate this interpretation by showing how they arise from the no-gravity limit of the Turaev-Viro model and Chern-Simons theory.

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 Dates: 2011-06-292012
 Publication Status: Issued
 Pages: 15 pages, 2 figures
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1106.6016
DOI: 10.1088/0264-9381/29/4/045006
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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: 29 (4) Sequence Number: 045006 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: https://pure.mpg.de/cone/journals/resource/954925513480_1