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  Group field theory with non-commutative metric variables

Baratin, A., & Oriti, D. (2010). Group field theory with non-commutative metric variables. Physical Review Letters, 105(22): 221302. doi:10.1103/PhysRevLett.105.221302.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-69CA-0 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-69CE-8
Genre: Journal Article

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1002.4723 (Preprint), 164KB
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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, Golm, DE, escidoc:67201              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
 Abstract: We introduce a dual formulation of group field theories, making them a type of non-commutative field theories. In this formulation, the variables of the field are Lie algebra variables with a clear interpretation in terms of simplicial geometry. For Ooguri-type models, the Feynman amplitudes are simplicial path integrals for BF theories. This formulation suggests ways to impose the simplicity constraints involved in BF formulations of 4d gravity directly at the level of the group field theory action. We illustrate this by giving a new GFT definition of the Barrett-Crane model.

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 Dates: 2010-02-252010-03-022010
 Publication Status: Published in print
 Pages: 6 pages; RevTeX4; v2: cleaned, clarifications added
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1002.4723
DOI: 10.1103/PhysRevLett.105.221302
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Title: Physical Review Letters
  Other : Phys. Rev. Lett.
Source Genre: Journal
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Publ. Info: Woodbury, N.Y., etc. : American Physical Society.
Pages: - Volume / Issue: 105 (22) Sequence Number: 221302 Start / End Page: - Identifier: ISSN: 0031-9007
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925433406