The Tensor Theory Space
High Energy Physics - Theory
2016-01-20 v1
Abstract
The tensor track is a background-independent discretization of quantum gravity which includes a sum over all topologies. We discuss how to define a functional renormalization group flow and the Wetterich equation in the corresponding theory space. This space is different from the Einsteinian theory space of asymptotic safety. It includes all fixed-rank tensor-invariant interactions, hence generalizes matrix models and the (Moyal) non-commutative field theory space.
Cite
@article{arxiv.1407.0284,
title = {The Tensor Theory Space},
author = {Vincent Rivasseau},
journal= {arXiv preprint arXiv:1407.0284},
year = {2016}
}
Comments
This short note is intended as a complement to arXiv:1311.1461, to appear in the Proceedings of the Workshop on Noncommutative Field Theory and Gravity in Corfu September 2013, Fortshritt. Phys. 2014