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  Diffeomorphisms in group field theories

Baratin, A., Girelli, F., & Oriti, D. (2011). Diffeomorphisms in group field theories. Physical Review D, 83(10): 104051. doi:10.1103/PhysRevD.83.104051.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-07EB-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-07EC-2
Genre: Journal Article

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1101.0590 (Preprint), 3MB
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 Creators:
Baratin, Aristide1, Author              
Girelli, Florian, 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,General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: We study the issue of diffeomorphism symmetry in group field theories (GFT), using the recently introduced noncommutative metric representation. In the colored Boulatov model for 3d gravity, we identify a field (quantum) symmetry which ties together the vertex translation invariance of discrete gravity, the flatness constraint of canonical quantum gravity, and the topological (coarse-graining) identities for the 6j-symbols. We also show how, for the GFT graphs dual to manifolds, the invariance of the Feynman amplitudes encodes the discrete residual action of diffeomorphisms in simplicial gravity path integrals. We extend the results to GFT models for higher dimensional BF theories and discuss various insights that they provide on the GFT formalism itself.

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 Dates: 2011-01-032011
 Publication Status: Published in print
 Pages: 31 pages, revtex4; many figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1101.0590
DOI: 10.1103/PhysRevD.83.104051
URI: http://arxiv.org/abs/1101.0590
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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: 83 (10) Sequence Number: 104051 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111088197762258