Random Tensors and Quantum Gravity

We provide an informal introduction to tensor field theories and to their associated renormalization group. We focus more on the general motivations coming from quantum gravity than on the technical details. In particular we discuss how asymptotic freedom of such tensor field theories gives a concre...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2016
Main Author: Rivasseau, V.
Format: Article
Language:English
Published: Інститут математики НАН України 2016
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/147766
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Random Tensors and Quantum Gravity / V. Rivasseau // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 92 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Rivasseau, V.
author_facet Rivasseau, V.
citation_txt Random Tensors and Quantum Gravity / V. Rivasseau // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 92 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description We provide an informal introduction to tensor field theories and to their associated renormalization group. We focus more on the general motivations coming from quantum gravity than on the technical details. In particular we discuss how asymptotic freedom of such tensor field theories gives a concrete example of a natural ''quantum relativity'' postulate: physics in the deep ultraviolet regime becomes asymptotically more and more independent of any particular choice of Hilbert basis in the space of states of the universe.
first_indexed 2025-11-29T00:21:44Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-11-29T00:21:44Z
publishDate 2016
publisher Інститут математики НАН України
record_format dspace
spelling Rivasseau, V.
2019-02-15T19:17:28Z
2019-02-15T19:17:28Z
2016
Random Tensors and Quantum Gravity / V. Rivasseau // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 92 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 60B20; 81T15; 81T16; 81T17; 82B28
DOI:10.3842/SIGMA.2016.069
https://nasplib.isofts.kiev.ua/handle/123456789/147766
We provide an informal introduction to tensor field theories and to their associated renormalization group. We focus more on the general motivations coming from quantum gravity than on the technical details. In particular we discuss how asymptotic freedom of such tensor field theories gives a concrete example of a natural ''quantum relativity'' postulate: physics in the deep ultraviolet regime becomes asymptotically more and more independent of any particular choice of Hilbert basis in the space of states of the universe.
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.
 We thank R. Avohou, D. Benedetti, J. Ben Geloun, V. Bonzom, S. Carrozza, S. Dartois, T. Delepouve,
 O. Samary Dine, R. Gurau, T. Krajewski, V. Lahoche, L. Lionni, D. Oriti, A. Tanasa, F. Vignes-Tourneret and R. Wulkenhaar for discussions and contributions on many aspects of
 the tensor track program.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Random Tensors and Quantum Gravity
Article
published earlier
spellingShingle Random Tensors and Quantum Gravity
Rivasseau, V.
title Random Tensors and Quantum Gravity
title_full Random Tensors and Quantum Gravity
title_fullStr Random Tensors and Quantum Gravity
title_full_unstemmed Random Tensors and Quantum Gravity
title_short Random Tensors and Quantum Gravity
title_sort random tensors and quantum gravity
url https://nasplib.isofts.kiev.ua/handle/123456789/147766
work_keys_str_mv AT rivasseauv randomtensorsandquantumgravity