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
5 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…
Radiative corrections to the Lorentzian EPRL spin foam propagator
- Physics
- 2022
We numerically estimate the divergence of several two-vertex diagrams that contribute to the radiative corrections for the Lorentzian EPRL spin foam propagator. We compute the amplitudes as functions…
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…