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  Functional renormalization group for the U(1)-T-5(6) tensorial group field theory with closure constraint

Lahoche, V., & Ousmane Samary, D. (2017). Functional renormalization group for the U(1)-T-5(6) tensorial group field theory with closure constraint. Physical Review D, 95(4): 045013. doi:10.1103/PhysRevD.95.045013.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002B-5FB8-D Version Permalink: http://hdl.handle.net/21.11116/0000-0002-F660-C
Genre: Journal Article

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 Creators:
Lahoche, Vincent, Author
Ousmane Samary, Dine1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: This paper is focused on the functional renormalization group applied to the $T_5^6$ tensor model on the Abelian group $U(1)$ with closure constraint. In a first time we derive the flow equations for the couplings and mass parameters in a suitable truncation around the marginal interactions with respect to the perturbative power counting. In a second time, we study the behavior around the Gaussian fixed point, and show that the theory in non-asymptotically free. Finally, we discuss the UV completion of the theory. We show the existence of several non-trivial fixed points, study the behavior of the renormalization group flow around them, and point out evidence in favor of an asymptotically safe theory.

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 Dates: 2016-08-012016-09-012017
 Publication Status: Published in print
 Pages: 23 pages, 9 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1608.00379
URI: http://arxiv.org/abs/1608.00379
DOI: 10.1103/PhysRevD.95.045013
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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: 95 (4) Sequence Number: 045013 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258