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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147766 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| _version_ | 1862611056310878208 |
|---|---|
| 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.
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| first_indexed | 2025-11-29T00:21:44Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147766 |
| 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 |