Exact Renormalisation Group Equations and Loop Equations for Tensor Models

Symmetry Integrability and Geometry-Methods and Applications

article

Thomas Krajewski¹  Reiko Toriumi² 

[1] Aix Marseille Universit´e, Universit´e de Toulon, CNRS;Department of Physics, University of California Berkeley

关键词: tensor models;    group field theory;    large N limit;    exact renormalisation equation;   

DOI  :  10.3842/SIGMA.2016.068

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown