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  Non-commutative quantum geometric data in group field theories

Oriti, D. (2014). Non-commutative quantum geometric data in group field theories. Fortschritte der Physik, 62(9-10), 841-854. doi:10.1002/prop.201400038.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0024-75B4-8 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0024-75B5-6
Genre: Journal Article

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 Creators:
Oriti, Daniele1, Author           
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_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 review briefly the motivations for introducing additional group-theoretic data in tensor models, leading to the richer framework of group field theories, themselves a field theory formulation of loop quantum gravity. We discuss how these data give to the GFT amplitudes the structure of lattice gauge theories and simplicial gravity path integrals, and make their quantum geometry manifest. We focus in particular on the non-commutative flux/algebra representation of these models.

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 Dates: 2014-05-082014
 Publication Status: Issued
 Pages: 10 pages; to appear in the proceedings of the workshop "Non-commutative field theory and gravity", Corfu', Greece, EU, September 2013
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 Rev. Type: -
 Identifiers: arXiv: 1405.1830
DOI: 10.1002/prop.201400038
 Degree: -

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Title: Fortschritte der Physik
Source Genre: Journal
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Publ. Info: Berlin : Wiley-VCH Verlag
Pages: - Volume / Issue: 62 (9-10) Sequence Number: - Start / End Page: 841 - 854 Identifier: ISSN: 0015-8208
CoNE: https://pure.mpg.de/cone/journals/resource/954925400540_1