27 citations · 165 across the 16 of their papers we have counts for
16 papers
Counting invariants and tensor model observables
Remi Cocou Avohou, Joseph Ben Geloun, Reiko Toriumi
invariants are constructed by contractions of complex tensors of order , also denoted . These tensors transform under fu…
Dirac walks on regular trees
Nicolas Delporte, Saswato Sen, Reiko Toriumi
The study of matter fields on an ensemble of random geometries is a difficult problem still in need of new methods and ideas. We will follow a point of view inspired by probability…
One-loop beta-functions of quartic enhanced tensor field theories
Joseph Ben Geloun, Reiko Toriumi
Enhanced tensor field theories (eTFT) have dominant graphs that differ from the melonic diagrams of conventional tensor field theories. They therefore describe pertinent candidates…
Trisections in colored tensor models
Riccardo Martini, Reiko Toriumi
We give a procedure to construct (quasi-)trisection diagrams for closed (pseudo-)manifolds generated by colored tensor models without restrictions on the number of simplices in the…
Geometric flux formula for the gravitational Wilson loop
N. Klitgaard, R. Loll, Marcus Reitz +1
Finding diffeomorphism-invariant observables to characterize the properties of gravity and spacetime at the Planck scale is essential for making progress in quantum gravity. The ho…
Multiple scaling limits of multi-matrix models
Dario Benedetti, Sylvain Carrozza, Reiko Toriumi +1
We study the double- and triple-scaling limits of a complex multi-matrix model, with symmetry. The double-scaling limit amounts to taking simu…
Renormalizable Enhanced Tensor Field Theory: The quartic melonic case
Joseph Ben Geloun, Reiko Toriumi
Amplitudes of ordinary tensor models are dominated at large by the so-called melonic graph amplitudes. Enhanced tensor models extend tensor models with special scalings of thei…
Exact Renormalisation Group Equations and Loop Equations for Tensor Models
Thomas Krajewski, Reiko Toriumi
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 t…
Polchinski's exact renormalisation group for tensorial theories: Gaussian universality and power counting
Thomas Krajewski, Reiko Toriumi
In this paper, we use the exact renormalisation in the context of tensor models and tensorial group field theories. As a byproduct, we rederive Gaussian universality for random ten…
Parametric Representation of Rank d Tensorial Group Field Theory: Abelian Models with Kinetic Term
Joseph Ben Geloun, Reiko Toriumi
We consider the parametric representation of the amplitudes of Abelian models in the so-called framework of rank Tensorial Group Field Theory. These models are called Abelian b…
Composite Leptons at the LHC
Herbert W. Hamber, Reiko Toriumi
In some models of electro-weak interactions the W and Z bosons are considered composites, made up of spin-one-half subconstituents. In these models a spin zero counterpart of the W…
Inconsistencies from a Running Cosmological Constant
Herbert W. Hamber, Reiko Toriumi
We examine the general issue of whether a scale dependent cosmological constant can be consistent with general covariance, a problem that arises naturally in the treatment of quant…
Wheeler-DeWitt Equation in 3 + 1 Dimensions
Herbert W. Hamber, Reiko Toriumi, Ruth M. Williams
Physical properties of the quantum gravitational vacuum state are explored by solving a lattice version of the Wheeler-DeWitt equation. The constraint of diffeomorphism invariance…
Wheeler-DeWitt Equation in 2 + 1 Dimensions
Herbert W. Hamber, Reiko Toriumi, Ruth M. Williams
The infrared structure of quantum gravity is explored by solving a lattice version of the Wheeler-DeWitt equations. In the present paper only the case of 2+1 dimensions is consider…
Scale-Dependent Newton's Constant G in the Conformal Newtonian Gauge
Herbert W. Hamber, Reiko Toriumi
In classical gravity deviations from the predictions of the Einstein theory are often discussed within the framework of the conformal Newtonian gauge, where scalar perturbations ar…
Cosmological Density Perturbations with a Scale-Dependent Newton's G
Herbert W. Hamber, Reiko Toriumi
We explore possible cosmological consequences of a running Newton's constant , as suggested by the non-trivial ultraviolet fixed point scenario in the quantum field-t…