Exact Renormalisation Group Equations and Loop Equations for Tensor Models
General Relativity and Quantum Cosmology
2016-07-19 v2 High Energy Physics - Theory
Abstract
In this paper, we review some general formulations of exact renormalisation group equations and loop equations for tensor models and tensorial group field theories. We illustrate the use of these equations in the derivation of the leading order expectation values of observables in tensor models. Furthermore, we use the exact renormalisation group equations to establish a suitable scaling dimension for interactions in Abelian tensorial group field theories with a closure constraint. We also present analogues of the loop equations for tensor models.
Cite
@article{arxiv.1603.00172,
title = {Exact Renormalisation Group Equations and Loop Equations for Tensor Models},
author = {Thomas Krajewski and Reiko Toriumi},
journal= {arXiv preprint arXiv:1603.00172},
year = {2016}
}