Exact Renormalisation Group Equations and Loop Equations for Tensor Models
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. Fur...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2016 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2016
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147765 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862547557022957568 |
|---|---|
| author | Krajewski, T. Toriumi, R. |
| author_facet | Krajewski, T. Toriumi, R. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-11-25T16:03:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147765 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T16:03:06Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Krajewski, T. Toriumi, R. 2019-02-15T19:17:05Z 2019-02-15T19:17:05Z 2016 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. 1815-0659 2010 Mathematics Subject Classification: 81T17; 81T18 DOI:10.3842/SIGMA.2016.068 https://nasplib.isofts.kiev.ua/handle/123456789/147765 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. 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”. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Exact Renormalisation Group Equations and Loop Equations for Tensor Models Article published earlier |
| spellingShingle | Exact Renormalisation Group Equations and Loop Equations for Tensor Models Krajewski, T. Toriumi, R. |
| title | Exact Renormalisation Group Equations and Loop Equations for Tensor Models |
| title_full | Exact Renormalisation Group Equations and Loop Equations for Tensor Models |
| title_fullStr | Exact Renormalisation Group Equations and Loop Equations for Tensor Models |
| title_full_unstemmed | Exact Renormalisation Group Equations and Loop Equations for Tensor Models |
| title_short | Exact Renormalisation Group Equations and Loop Equations for Tensor Models |
| title_sort | exact renormalisation group equations and loop equations for tensor models |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147765 |
| work_keys_str_mv | AT krajewskit exactrenormalisationgroupequationsandloopequationsfortensormodels AT toriumir exactrenormalisationgroupequationsandloopequationsfortensormodels |