English

Random Tensors and Quantum Gravity

Mathematical Physics 2016-07-18 v2 math.MP

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

Cite

@article{arxiv.1603.07278,
  title  = {Random Tensors and Quantum Gravity},
  author = {Vincent Rivasseau},
  journal= {arXiv preprint arXiv:1603.07278},
  year   = {2016}
}

Comments

Section 6 is essentially reproduced from author's arXiv:1507.04190 for self-contained purpose of the review

R2 v1 2026-06-22T13:17:15.808Z