Exact Renormalisation Group Equations and Loop Equations for Tensor Models

Thomas Krajewski ; Reiko Toriumi

Symmetry, integrability and geometry: methods and applications, Tome 12 (2016)

Résumé

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.

Détail

Keywords: tensor models; group field theory; large $N$ limit; exact renormalisation equation.

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