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  Holonomy Spin Foam Models: Definition and Coarse Graining

Bahr, B., Dittrich, B., Hellmann, F., & Kaminski, W. (2013). Holonomy Spin Foam Models: Definition and Coarse Graining. Physical Review D, 87(4): 044048. doi:10.1103/PhysRevD.87.044048.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-E981-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-3DBB-4
Genre: Journal Article

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1208.3388 (Preprint), 393KB
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 Creators:
Bahr, Benjamin1, Author              
Dittrich, Bianca1, Author              
Hellmann, Frank2, Author              
Kaminski, Wojciech, Author
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_102878              
2Quantum 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,High Energy Physics - Lattice, hep-lat,High Energy Physics - Theory, hep-th
 Abstract: We propose a new holonomy formulation for spin foams, which naturally extends the theory space of lattice gauge theories. This allows current spin foam models to be defined on arbitrary two-complexes as well as to generalize current spin foam models to arbitrary, in particular finite groups. The similarity with standard lattice gauge theories allows to apply standard coarse graining methods, which for finite groups can now be easily considered numerically. We will summarize other holonomy and spin network formulations of spin foams and group field theories and explain how the different representations arise through variable transformations in the partition function. A companion paper will provide a description of boundary Hilbert spaces as well as a canonical dynamic encoded in transfer operators.

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 Dates: 2012-08-162013
 Publication Status: Published in print
 Pages: 36 pages, 12 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1208.3388
DOI: 10.1103/PhysRevD.87.044048
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 87 (4) Sequence Number: 044048 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258