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  Functional Renormalization Group analysis of a Tensorial Group Field Theory on R3

Geloun, J. B., Martini, R., & Oriti, D. (2015). Functional Renormalization Group analysis of a Tensorial Group Field Theory on R3. EPL, 112(3): 31001. doi:10.1209/0295-5075/112/31001.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0028-506B-0 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-9A0E-2
Genre: Journal Article

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 Creators:
Geloun, Joseph Ben1, Author              
Martini, Riccardo, Author
Oriti, Daniele2, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              
2Microscopic 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 study a model of Tensorial Group Field Theory (TGFT) on $\mathbb{R}^3$ from the point of view of the Functional Renormalisation Group. This is the first attempt to apply a renormalisation procedure to a TGFT model defined over a non-compact group manifold. IR divergences (with respect to the metric on $\mathbb{R}$) coming from the non-compactness of the group are regularised via compactification, and a thermodynamic limit is then taken. We identify then IR and UV fixed points of the RG flow and find strong hints of a phase transition of the TGFT system from a symmetric to a broken or condensate phase in the IR.

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 Dates: 2015-08-082015
 Publication Status: Published in print
 Pages: 7 pages, 2 Figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1508.01855
DOI: 10.1209/0295-5075/112/31001
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Title: EPL
  Other : Europhysics Letters
Source Genre: Journal
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Publ. Info: Bristol : IoPP
Pages: - Volume / Issue: 112 (3) Sequence Number: 31001 Start / End Page: - Identifier: Other: 0295-5075
CoNE: /journals/resource/0295-5075