The Spin-Foam Approach to Quantum Gravity

By Alejandro Perez. Living Reviews in Relativity, 2012

641 citations recorded by the source corpus.

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 new models for four-dimensional quantum gravity. The models are motivated by a suitable implementation of the path integral quantization of the Plebanski formulation of gravity on a simplicial regularization. The article also includes a self-contained treatment of 2+1 gravity. The simple nature of the latter provides the basis and a perspective for the analysis of both conceptual and technical issues that remain open in four dimensions.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c78d8dc3e7e6204c00d553671975928cf92cb765

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Citations in the corpus

Zakopane lectures on loop gravity (2011, background): “Finally, Alejandro Perez is writing an introductory review to the spinfoam formalism [149].”
Renormalization of Tensorial Group Field Theories: Abelian U(1) Models in Four Dimensions (2012, background): “in a priori continuum approaches like LQG, in the form of spin networks and spin foams [1–3,20,21].”
Homogeneous cosmologies as group field theory condensates (2013, methodology): “A recent review, containing a detailed discussion of the construction of some models can be found in [10]; other constructions are in [33].”
O(N) Random Tensor Models (2015, background): “spin foam [33, 34] and group field theory models [35, 36] for 3d quantum gravity.”
Edge modes of gravity. Part I. Corner potentials and charges (2020, background): “This idea is at the heart of loop quantum gravity (LQG) [52, 53].”
The continuum limit of loop quantum gravity - a framework for solving the theory (2014, background): “This is one route to spin foam models [11], for which the (boundary) variablesX can be made to match those of loop quantum gravity.”
Emergent Friedmann dynamics with a quantum bounce from quantum gravity condensates (2016, methodology): “On the one hand, GFTs can be understood as a second quantisation of canonical LQG [9], with a different organisation of the quantum states so to obtain a Fock space, while the GFT Feynman amplitudes can be equivalently written as spin foam models [8], the covariant form of LQG (see [60] for an intro”