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The spin-foam approach to quantum gravity (Q2353447)

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Language	Label	Description	Also known as
English	The spin-foam approach to quantum gravity	scientific article

Statements

scholarly article

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The spin-foam approach to quantum gravity (English)

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Alejandro Perez

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Living Reviews in Relativity

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publication date

14 July 2015

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full work available at URL

https://arxiv.org/abs/1205.2019

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zbMATH Keywords

quantum gravity

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spin-foam

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path integral quantization

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Plebanski formulation of gravity

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simplicial regularization

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MaRDI profile type

MaRDI publication profile

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Asymptotics of loop quantum gravity fusion coefficients

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LQG propagator: III. The new vertex

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<i>SO</i> (4, <i>C</i> )-covariant Ashtekar-Barbero gravity and the Immirzi parameter

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Reality conditions for Ashtekar gravity from Lorentz-covariant formulation

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Degenerate Plebanski sector and spin foam quantization

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Plebanski theory and covariant canonical formulation

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SPIN foams and canonical quantization

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<b> <i>SU</i> </b> (2)-invariant reduction of (3+1)-dimensional Ashtekar gravity

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Hamiltonian analysis of non-chiral Plebanski theory and its generalizations

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RELATIVE LOCALITY: A DEEPENING OF THE RELATIVITY PRINCIPLE

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Quantum Geometry and Black Hole Entropy

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Quantum geometry of isolated horizons and black hole entropy

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Casting loop quantum cosmology in the spin foam paradigm

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Quantum theory of geometry: III. Non-commutativity of Riemannian structures

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Isolated and dynamical horizons and their applications

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Projective techniques and functional integration for gauge theories

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Quantum theory of geometry: I. Area operators

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Quantum theory of geometry. II: Volume operators

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Background independent quantum gravity: a status report

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The particle interpretation of <i>N</i> = 1 supersymmetric spin foams

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Spin networks in gauge theory

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Spin foam models

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The quantum tetrahedron in 3 and 4 dimensions

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Quantization of strings and branes coupled to BF theory

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On knottings in the physical Hilbert space of LQG as given by the EPRL model

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(Broken) Gauge symmetries and constraints in Regge calculus

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Operator spin foam models

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Gauge-invariant coherent states for loop quantum gravity: I. Abelian gauge groups

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Gauge-invariant coherent states for loop quantum gravity: II. Non-Abelian gauge groups

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From Euclidean to Lorentzian general relativity: The real way

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Relativistic spin networks and quantum gravity

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A Lorentzian signature model for quantum general relativity

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Asymptotic analysis of the Engle–Pereira–Rovelli–Livine four-simplex amplitude

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Asymptotics of 4d spin foam models

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Lorentzian spin foam amplitudes: graphical calculus and asymptotics

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QUANTUM GRAVITY ASYMPTOTICS FROM THE SU(2) 15j-SYMBOL

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Observables in the Turaev-Viro and Crane-Yetter models

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The Ponzano–Regge model

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Asymptotics of relativistic spin networks

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The asymptotics of an amplitude for the 4-simplex

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The length operator in loop quantum gravity

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Spinfoam fermions

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LQG propagator from the new spin foams

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Graviton propagator in loop quantum gravity

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The face amplitude of spinfoam quantum gravity

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Semiclassical regime of Regge calculus and spin foams

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New variables for classical and quantum gravity in all dimensions: II. Lagrangian analysis

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Towards loop quantum supergravity (LQSG): I. Rarita–Schwinger sector

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New variables for classical and quantum gravity in all dimensions: I. Hamiltonian analysis

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New variables for classical and quantum gravity in all dimensions: III. Quantum theory

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New variables for classical and quantum gravity in all dimensions: IV. Matter coupling

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On the implementation of the canonical quantum simplicity constraint

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Towards loop quantum supergravity (LQSG): II. <i>p</i> -form sector

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Loop quantum cosmology

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Spin foam quantization and anomalies

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From lattice BF gauge theory to area–angle Regge calculus

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The Hamiltonian constraint in 3d Riemannian loop quantum gravity

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Critical behavior of colored tensor models in the large \(N\) limit

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A Immirzi-like parameter for 3D quantum gravity

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A new recursion relation for the \(6j\)-symbol

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Recurrence relations for spin foam vertices

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Bubble divergences from cellular cohomology

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Bubble divergences from twisted cohomology

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Bubble divergences: sorting out topology from cell structure

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U( <i>N</i> ) tools for loop quantum gravity: the return of the spinor

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A MODEL OF THREE-DIMENSIONAL LATTICE GRAVITY

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Hamiltonian analysis of Plebanski theory

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A pure spin-connection formulation of gravity

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BF gravity and the Immirzi parameter

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Very Special Relativity

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\(S\)-matrix at spatial infinity

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States and amplitudes for finite regions in a two-dimensional Euclidean quantum field theory

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Spin foams with timelike surfaces

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Path integral representation of spin foam models of 4D gravity

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Quantum geometry from phase space reduction

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A spin foam model for general Lorentzian 4-geometries

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Unitary irreducible representations of \documentclass[12pt]{minimal}$\mathrm{SL(2,\mathbb {C})}$ SL (2,C) in discrete and continuous \documentclass[12pt]{minimal}$\mathrm{SU(1,1)}$ SU (1,1) bases

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State-Sum Invariants of 4-Manifolds

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<i>so</i> (4) Plebanski action and relativistic spin-foam model

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Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space

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Feynman diagrams of generalized matrix models and the associated manifolds in dimension four

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Canonical quantum gravity in the Vassiliev invariants arena: II. Constraints, habitats and consistency of the constraint algebra

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Dirac-type approach for consistent discretizations of classical constrained theories

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Consistent and mimetic discretizations in general relativity

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The physical boundary Hilbert space and volume operator in the Lorentzian new spin-foam theory

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The volume operator in covariant quantum gravity

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From covariant to canonical formulations of discrete gravity

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Phase space descriptions for simplicial 4D geometries

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A perturbative approach to Dirac observables and their spacetime algebra

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Are the spectra of geometrical operators in loop quantum gravity really discrete?

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Observables in 3d spinfoam quantum gravity with fermions

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Holomorphic Lorentzian simplicity constraints

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The 6j-symbol: recursion, correlations and asymptotics

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Holomorphic simplicity constraints for 4D spinfoam models

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Revisiting the simplicity constraints and coherent intertwiners

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Canonical path integral measures for Holst and Plebanski gravity: I. Reduced phase space derivation

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LQG vertex with finite Immirzi parameter

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The SU(2) black hole entropy revisited

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Coherent states, constraint classes and area operators in the new spin-foam models

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Loop-Quantum-Gravity Vertex Amplitude

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Flipped spinfoam vertex and loop gravity

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Fermions in three-dimensional spinfoam quantum gravity

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3D spinfoam quantum gravity: matter as a phase of the group field theory

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Quantum deformation of two four-dimensional spin foam models

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Representations of the Weyl algebra in quantum geometry

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A Ponzano-Regge model of Lorentzian 3-dimensional gravity

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Group field theory: an overview

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Spin foam models and the classical action principle

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A new spin foam model for 4D gravity

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Spin networks for noncompact groups

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3D Quantum Gravity and Effective Noncommutative Quantum Field Theory

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Ponzano–Regge model revisited: III. Feynman diagrams and effective field theory

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Diffeomorphisms and spin foam models

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Ponzano–Regge model revisited: I. Gauge fixing, observables and interacting spinning particles

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Quantum gravity experimental physics?

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CONSISTENT DISCRETIZATION AND CANONICAL, CLASSICAL AND QUANTUM REGGE CALCULUS

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Small Lorentz violations in quantum gravity: do they lead to unacceptably large effects?

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A generalized Hamiltonian constraint operator in loop quantum gravity and its simplest Euclidean matrix elements

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Testing the imposition of the spin foam simplicity constraints

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Classical general relativity as BF-Plebanski theory with linear constraints

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Spin foam diagrammatics and topological invariance

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The \(1/N\) expansion of colored tensor models

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Colored group field theory

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A generalization of the Virasoro algebra to arbitrary dimensions

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The complete \(1/N\) expansion of colored tensor models in arbitrary dimension

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Canonical path-integral measures for Holst and Plebanski gravity: II. Gauge invariance and physical inner product

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A path integral for the master constraint of loop quantum gravity

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4-dimensional spin-foam model with quantum Lorentz group

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On the relation between operator constraint, master constraint, reduced phase space and path integral quantization

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On the relation between rigging inner product and master constraint direct integral decomposition

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Asymptotics of the spin foam amplitude on simplicial manifold: Euclidean theory

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Local spinfoam expansion in loop quantum cosmology

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Existence of local covariant time ordered products of quantum fields in curved spacetime

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On the renormalization group in curved spacetime

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Real and complex connections for canonical gravity

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A definition of the Ponzano–Regge quantum gravity model in terms of surfacesa)

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Lorentz violation at high energy: concepts, phenomena, and astrophysical constraints

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The EPRL intertwiners and corrected partition function

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Spin-foams for all loop quantum gravity

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Quantum constraints, Dirac observables and evolution: group averaging versus the Schrödinger picture in LQC

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Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)

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Deformations of the Constraint Algebra of Ashtekar’s Hamiltonian Formulation of General Relativity

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GRAVITY AS BF THEORY PLUS POTENTIAL

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Plebanski gravity without the simplicity constraints

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Uniqueness of diffeomorphism invariant states on holonomy-flux algebras

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Projected spin networks for Lorentz connection: linking spin foams and loop gravity

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Classical setting and effective dynamics for spinfoam cosmology

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Three-dimensional quantum supergravity and supersymmetric spin foam models

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Effective Hamiltonian constraint from group field theory

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2D manifold-independent spinfoam theory

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Spinor representation for loop quantum gravity

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Simplifying the spectral analysis of the volume operator

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COMPARING LQG WITH THE LINEARIZED THEORY

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REGGE GRAVITY FROM SPINFOAMS

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Scaling behavior of three-dimensional group field theory

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Second-order amplitudes in loop quantum gravity

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Coarse graining in spin foam models

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Causal evolution of spin networks

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Modern tests of Lorentz invariance

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Effective action and semi-classical limit of spin-foam models

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A finiteness bound for the EPRL/FK spin foam model

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Feynman Quantization of General Relativity

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Equivalent and alternative forms for BF gravity with Immirzi parameter

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Loop space representation of quantum fermions and gravity

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Three-dimensional loop quantum gravity: coupling to point particles

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Three-dimensional loop quantum gravity: physical scalar product and spin-foam models

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Canonical quantization of non-commutative holonomies in 2 + 1 loop quantum gravity

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Cosmological deformation of Lorentzian spin foam models

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Generalized lattice gauge theory, spin foams and state sum invariants

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Renormalization of discrete models without background

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Affine holomorphic quantization

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Holomorphic quantization of linear field theory in the general boundary formulation

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The dual of pure non-Abelian lattice gauge theory as a spin foam model

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TOPOLOGICAL LATTICE MODELS IN FOUR DIMENSIONS

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Spinfoam 2D quantum gravity and discrete bundles

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Lorentzian loop quantum gravity vertex amplitude

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Spin foam models for quantum gravity

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On the regularization of the constraint algebra of quantum gravity in 2 + 1 dimensions with a nonvanishing cosmological constant

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On the separation of Einsteinian substructures

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A left-handed simplicial action for Euclidean general relativity

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On relativistic spin network vertices

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Spacetime as a Feynman diagram: the connection formulation

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Graviton Propagator from Background-Independent Quantum Gravity

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Loop quantum gravity

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Loop quantum gravity: the first 25 years

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In quantum gravity, summing is refining

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Discreteness of area and volume in quantum gravity

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Reconcile Planck-scale discreteness and the Lorentz-Fitzgerald contraction

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On the expansion of a quantum field theory around a topological sector

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Stepping out of homogeneity in loop quantum cosmology

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On the spinfoam expansion in cosmology

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The Euclidean three-point function in loop and perturbative gravity

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Towards the QFT on curved spacetime limit of QGR: I. A general scheme

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Towards the QFT on curved spacetime limit of QGR: II. A concrete implementation

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Coherent states for canonical quantum general relativity and the infinite tensor product extension

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Coupling gauge theory to spinfoam 3D quantum gravity

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A locally finite model for gravity

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Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity

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Quantum spin dynamics (QSD): IV. Euclidean quantum gravity as a model to test Lorentzian quantum gravity

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Quantum spin dynamics (QSD): V. Quantum gravity as the natural regulator of the Hamiltonian constraint of matter quantum field theories

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Gauge field theory coherent states (GCS): I. General properties

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Complexifier coherent states for quantum general relativity

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Gauge field theory coherent states (GCS): II. Peakedness properties

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Gauge field theory coherent states (GCS): III. Ehrenfest theorems

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Gauge field theory coherent states (GCS): IV. Infinite tensor product and thermodynamical limit

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Quantum invariants of knots and 3-manifolds

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State sum invariants of 3-manifolds and quantum \(6j\)-symbols

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Complex Ashtekar variables and reality conditions for Holst's action

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Twistorial phase space for complex Ashtekar variables

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Continuum spin foam model for 3d gravity

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Identifiers

zbMATH Open document ID

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10.12942/lrr-2013-3

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2353447

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