A Short and Subjective Introduction to the Spinfoam Framework for Quantum Gravity

Abstract

This is my Thèse d'Habilitation (HDR) on the topic of spinfoam models for quantum gravity, which I presented in l'Ecole Normale Supérieure de Lyon on december 16 2010. The spinfoam framework is a proposal for a regularized path integral for quantum gravity, inspired from Topological Quantum Field Theory (TQFT) and state-sum models. It can also be seen as defining transition amplitudes for the quantum states of geometry for Loop Quantum Gravity (LQG).

90 pages

References in corpus (24)

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• A new spinfoam vertex for quantum gravity
• The loop-quantum-gravity vertex-amplitude
• Group field theory with non-commutative metric variables
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• The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
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• The complete LQG propagator: II. Asymptotic behavior of the vertex
• 3d Spinfoam Quantum Gravity: Matter as a Phase of the Group Field Theory
• Lifting SU(2) Spin Networks to Projected Spin Networks
• Quantum Corrections in the Group Field Theory Formulation of the EPRL/FK Models
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• Spin foam model from canonical quantization
• Simplicity and closure constraints in spin foam models of gravity
• Numerical evidence of regularized correlations in spin foam gravity
• A Lagrangian approach to the Barrett-Crane spin foam model
• Simple model for quantum general relativity from loop quantum gravity
• Hidden Quantum Gravity in 3d Feynman diagrams
• Particles as Wilson lines of gravitational field
• Plebanski Theory and Covariant Canonical Formulation
• Towards the graviton from spinfoams: the complete perturbative expansion of the 3d toy model
• The perturbative Regge-calculus regime of Loop Quantum Gravity
• Effective particle kinematics from Quantum Gravity
• Numerical indications on the semiclassical limit of the flipped vertex

Cited by in corpus (7)

• The Spin Foam Approach to Quantum Gravity
• Classical Setting and Effective Dynamics for Spinfoam Cosmology
• Protected $SL(2,\mathbb{R})$ Symmetry in Quantum Cosmology
• Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter
• A Model of Spinfoam Coupled with an Environment
• Quasi-Local 3D Quantum Gravity : Exact Amplitude and Holography
• The relation between Geometry and Matter in classical and quantum Gravity and Cosmology