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Exact Renormalisation Group Equations and Loop Equations for Tensor Models
Репозиторій DSpace/Manakin
- Домашня сторінка
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік
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Exact Renormalisation Group Equations and Loop Equations for Tensor Models
Інший ID:
2010 Mathematics Subject Classification: 81T17; 81T18
DOI:10.3842/SIGMA.2016.068
DOI:10.3842/SIGMA.2016.068
Посилання:
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.
Підтримка:
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”.
Дата:
2016
Переглядів:
512
Завантажень:
254
Анотація:
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.
