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  Group field theory and simplicial gravity path integrals: A model for Holst-Plebanski gravity

Baratin, A., & Oriti, D. (2012). Group field theory and simplicial gravity path integrals: A model for Holst-Plebanski gravity. Physical Review D, 85: 044003. doi:10.1103/PhysRevD.85.044003.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-86F5-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-86F6-A
Genre: Journal Article

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1111.5842 (Preprint), 333KB
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 Creators:
Baratin, Aristide1, Author              
Oriti, Daniele2, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              
2Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:67201              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: In a recent work, a dual formulation of group field theories as non-commutative quantum field theories has been proposed, providing an exact duality between spin foam models and non-commutative simplicial path integrals for constrained BF theories. In light of this new framework, we define a model for 4d gravity which includes the Immirzi parameter gamma. It reproduces the Barrett-Crane amplitudes when gamma goes to infinity, but differs from existing models otherwise; in particular it does not require any rationality condition for gamma. We formulate the amplitudes both as BF simplicial path integrals with explicit non-commutative B variables, and in spin foam form in terms of Wigner 15j-symbols. Finally, we briefly discuss the correlation between neighboring simplices, often argued to be a problematic feature, for example, in the Barrett-Crane model.

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 Dates: 2011-11-242012
 Publication Status: Published in print
 Pages: 26 pages, 1 figure
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1111.5842
DOI: 10.1103/PhysRevD.85.044003
 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: 85 Sequence Number: 044003 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111088197762258