Random Tensors and Quantum Gravity

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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Random Tensors and Quantum Gravity

Інший ID: 2010 Mathematics Subject Classification: 60B20; 81T15; 81T16; 81T17; 82B28
DOI:10.3842/SIGMA.2016.069

URI: http://dspace.nbuv.gov.ua/handle/123456789/147766

Посилання: Random Tensors and Quantum Gravity / V. Rivasseau // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 92 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. 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.

Дата: 2016

Завантажень: 286

Random Tensors and Quantum Gravity

Анотація:

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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