RUS  ENG
Full version
JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2016 Volume 12, 069, 17 pp. (Mi sigma1151)

This article is cited in 36 papers

Random Tensors and Quantum Gravity

Vincent Rivasseau

Laboratoire de Physique Théorique, CNRS UMR 8627, Université Paris XI, F-91405 Orsay Cedex, France

Abstract: 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.

Keywords: renormalization; tensor models; quantum gravity.

MSC: 60B20; 81T15; 81T16; 81T17; 82B28

Received: March 23, 2016; in final form July 6, 2016; Published online July 15, 2016

Language: English

DOI: 10.3842/SIGMA.2016.069



Bibliographic databases:
ArXiv: 1603.07278


© Steklov Math. Inst. of RAS, 2025