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Exact Renormalisation Group Equations and Loop Equations for Tensor Models

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dc.contributor.author Krajewski, T.
dc.contributor.author Toriumi, R.
dc.date.accessioned 2019-02-15T19:17:05Z
dc.date.available 2019-02-15T19:17:05Z
dc.date.issued 2016
dc.identifier.citation Exact Renormalisation Group Equations and Loop Equations for Tensor Models / T. Krajewski, R. Toriumi // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 43 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 81T17; 81T18
dc.identifier.other DOI:10.3842/SIGMA.2016.068
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/147765
dc.description.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. uk_UA
dc.description.sponsorship This paper is a contribution to the Special Issue on Tensor Models, Formalism and Applications. The full collection is available at http://www.emis.de/journals/SIGMA/Tensor Models.html. T.K. is partially supported by the grant “ANR JCJC CombPhysMat2Tens”. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title Exact Renormalisation Group Equations and Loop Equations for Tensor Models uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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