The spin-foam approach to quantum gravity

A Perez - Living Reviews in Relativity, 2013 - Springer
This article reviews the present status of the spin-foam approach to the quantization of
gravity. Special attention is payed to the pedagogical presentation of the recently-introduced …

Group field theory condensate cosmology: An appetizer

AGA Pithis, M Sakellariadou - Universe, 2019 - mdpi.com
This contribution is an appetizer to the relatively young and fast-evolving approach to
quantum cosmology based on group field theory condensate states. We summarize the …

Introduction to loop quantum cosmology

K Banerjee, G Calcagni, M Martin-Benito - … . Symmetry, Integrability and …, 2012 - emis.de
Introduction to Loop Quantum Cosmology Symmetry, Integrability and Geometry: Methods
and Applications (SIGMA) SIGMA 8 (2012), 016, 73 pages arXiv:1109.6801 https://doi.org/10.3842/SIGMA.2012.016 …

Non-singular black holes and the Limiting Curvature Mechanism: A Hamiltonian perspective

JB Achour, F Lamy, H Liu, K Noui - Journal of Cosmology and …, 2018 - iopscience.iop.org
We revisit the non-singular black hole solution in (extended) mimetic gravity with a limiting
curvature from a Hamiltonian point of view. We introduce a parameterization of the phase …

Markov chain Monte Carlo methods for graph refinement in spinfoam cosmology

P Frisoni, F Gozzini, F Vidotto - Classical and Quantum Gravity, 2023 - iopscience.iop.org
We study the behavior of the Lorentzian Engle-Pereira-Rovelli-Livine spinfoam amplitude
with homogeneous boundary data, under a graph refinement going from five to twenty …

From the discrete to the continuous: Towards a cylindrically consistent dynamics

B Dittrich - New Journal of Physics, 2012 - iopscience.iop.org
Discrete models usually represent approximations to continuum physics. Cylindrical
consistency provides a framework in which discretizations exactly mirror the continuum limit …

Lorentzian quantum cosmology goes simplicial

B Dittrich, S Gielen, S Schander - Classical and Quantum Gravity, 2022 - iopscience.iop.org
We employ the methods of discrete (Lorentzian) Regge calculus for analysing Lorentzian
quantum cosmology models with a special focus on discrete analogues of the no-boundary …

Spinfoam Models for Quantum Gravity: Overview

ER Livine - arXiv preprint arXiv:2403.09364, 2024 - arxiv.org
In the quest of a physical theory of quantum gravity, spin foam models, or in short spinfoams,
propose a well-defined path integral summing over quantized discrete space-time …

Spin Foams: Foundations

J Engle, S Speziale - arXiv preprint arXiv:2310.20147, 2023 - Springer
Spin foams provide a framework for the dynamics of loop quantum gravity that is manifestly
covariant under the full four-dimensional diffeomorphism symmetry group of general …

Thiemann complexifier in classical and quantum FLRW cosmology

J Ben Achour, ER Livine - Physical Review D, 2017 - APS
In the context of loop quantum gravity (LQG), we study the fate of Thiemann complexifier in
homogeneous and isotropic Friedmann-Lemaitre-Roberston-Walker (FLRW) cosmology …