# Renormalization of Group Field Theories for Quantum Gravity: New Computations and Some Suggestions

@inproceedings{Finocchiaro2020RenormalizationOG, title={Renormalization of Group Field Theories for Quantum Gravity: New Computations and Some Suggestions}, author={Marco Finocchiaro and Daniele Oriti}, booktitle={Frontiers in Physics}, year={2020} }

We discuss motivation and goals of renormalization analyses of group field theory models of simplicial 4d quantum gravity, and review briefly the status of this research area. We present some new computations of perturbative Group field theories amplitudes, concerning in particular their scaling behavior, and the numerical techniques employed to obtain them. Finally, we suggest a number of research directions for further progress.

## Figures and Tables from this paper

## 4 Citations

Cosmological implications of the hydrodynamical phase of group field theory

- PhysicsGeneral Relativity and Gravitation
- 2021

In this review we focus on the main cosmological implications of the Group Field Theory approach, giving rise to bouncing cosmologies from the Engle-Pereira-Rovelli-Livine Group Field Theory model.…

Quantum Fluctuations in the Effective Relational GFT Cosmology

- PhysicsFrontiers in Astronomy and Space Sciences
- 2021

We analyze the size and evolution of quantum fluctuations of cosmologically relevant geometric observables, in the context of the effective relational cosmological dynamics of GFT models of quantum…

Phantom-like dark energy from quantum gravity

- PhysicsJournal of Cosmology and Astroparticle Physics
- 2021

We analyse the emergent cosmological dynamics corresponding to the mean field hydrodynamics of quantum gravity condensates, in the group field theory formalism. We focus in particular on the…

## References

SHOWING 1-10 OF 119 REFERENCES

The microscopic dynamics of quantum space as a group field theory

- Physics
- 2011

We provide a rather extended introduction to the group field theory approach to quantum gravity, and the main ideas behind it. We present in some detail the GFT quantization of 3d Riemannian gravity,…

Flowing in Group Field Theory Space: a Review

- Physics
- 2016

We provide a non{technical overview of recent extensions of renormalization methods and techniques to Group Field Theories (GFTs), a class of combinatorially non{ local quantum eld theories which…

The continuum limit of loop quantum gravity - a framework for solving the theory

- Physics
- 2014

The construction of a continuum limit for the dynamics of loop quantum gravity is unavoidable to complete the theory. We explain that such a construction is equivalent to obtaining the continuum…

Group field theory for quantum gravity minimally coupled to a scalar field

- Physics
- 2017

We construct a group field theory model for quantum gravity minimally coupled to relativistic scalar fields, defining as well a corresponding discrete gravity path integral (and, implicitly, a…

Hypercuboidal renormalization in spin foam quantum gravity

- Physics
- 2017

In this article we apply background-independent renormalization group methods to spin foam quantum gravity. It is aimed at extending and elucidating the analysis of a companion letter, in which the…

Discrete Gravity Models and Loop Quantum Gravity: a Short Review

- Physics
- 2012

We review the relation between Loop Quantum Gravity on a fixed graph and discrete models of gravity. We compare Regge and twisted geometries, and discuss discrete actions based on twisted geometries…

Group field theory as the microscopic description of the quantum spacetime fluid: a new perspective on the continuum in quantum gravity

- Physics
- 2007

We introduce the group field theory (GFT) formalism for non-perturbative quantum gravity, and present it as a potential unifying framework for several other quantum gravity approaches, i.e. loop…

Continuous point symmetries in Group Field Theories

- Mathematics
- 2016

We discuss the notion of symmetries in non-local field theories characterized by integro-differential equations of motion, from a geometric perspective. We then focus on Group Field Theory (GFT)…

Group Field Theory: An Overview

- Physics
- 2005

We give a brief overview of the properties of a higher-dimensional generalization of matrix model which arise naturally in the context of a background approach to quantum gravity, the so-called group…