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Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 068, 36 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.068 (Mi sigma1150) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Exact Renormalisation Group Equations and Loop Equations for Tensor Models

Thomas Krajewskia, Reiko Toriumib

a Aix Marseille Université, Université de Toulon, CNRS, CPT, UMR 7332, 13288 Marseille, France
b Department of Physics, University of California Berkeley, USA
Full-text PDF (730 kB) Citations (21)
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DOI: https://doi.org/10.3842/SIGMA.2016.068
Abstract: In this paper, we review some general formulations of exact renormalisation group equations and loop equations for tensor models and tensorial group field theories. We illustrate the use of these equations in the derivation of the leading order expectation values of observables in tensor models. Furthermore, we use the exact renormalisation group equations to establish a suitable scaling dimension for interactions in Abelian tensorial group field theories with a closure constraint. We also present analogues of the loop equations for tensor models.
Keywords: tensor models; group field theory; large $N$ limit; exact renormalisation equation.
Funding agency Grant number
Agence Nationale de la Recherche JCJC CombPhysMat2Tens
T.K. is partially supported by the grant “ANR JCJC CombPhysMat2Tens”.
Received: February 29, 2016; in final form July 5, 2016; Published online July 14, 2016
Bibliographic databases:
Document Type: Article
MSC: 81T17; 81T18
Language: English
Citation: Thomas Krajewski, Reiko Toriumi, “Exact Renormalisation Group Equations and Loop Equations for Tensor Models”, SIGMA, 12 (2016), 068, 36 pp.
Citation in format AMSBIB
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\by Thomas~Krajewski, Reiko~Toriumi
\paper Exact Renormalisation Group Equations and Loop Equations for~Tensor Models
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\vol 12
\papernumber 068
\totalpages 36
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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