Asymptotics of 4d spin foam models

Abstract

We study the asymptotic properties of four-simplex amplitudes for various four-dimensional spin foam models. We investigate the semi-classical limit of the Ooguri, Euclidean and Lorentzian EPRL models using coherent states for the boundary data. For some classes of geometrical boundary data, the asymptotic formulae are given, in all three cases, by simple functions of the Regge action for the four-simplex geometry.

10 pages, Proceedings for the 2nd Corfu summer school and workshop on quantum gravity and quantum geometry, talk given by Winston J. Fairbairn

References in corpus (10)

• LQG vertex with finite Immirzi parameter
• A new spinfoam vertex for quantum gravity
• A New Spin Foam Model for 4d Gravity
• The loop-quantum-gravity vertex-amplitude
• Lorentzian spin foam amplitudes: graphical calculus and asymptotics
• Flipped spinfoam vertex and loop gravity
• Consistently Solving the Simplicity Constraints for Spinfoam Quantum Gravity
• Area-angle variables for general relativity
• Path integral representation of spin foam models of 4d gravity
• Quantum gravity asymptotics from the SU(2) 15j symbol

Cited by in corpus (23)

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• Coarse graining methods for spin net and spin foam models
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• Holonomy spin foam models: Asymptotic geometry of the partition function
• Asymptotic analysis of the EPRL model with timelike tetrahedra
• Emergence of Spacetime in a restricted Spin-foam model
• Analytic Continuation of Spin foam Models
• Holonomy Spin Foam Models: Boundary Hilbert spaces and Time Evolution Operators
• Renormalization of group field theories for quantum gravity: new scaling results and some suggestions
• Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity
• Coupled intertwiner dynamics: A toy model for coupling matter to spin foam models
• The Barrett-Crane model: asymptotic measure factor
• Classical dynamics for Loop Gravity: The 2-vertex model
• A New Recursion Relation for the 6j-Symbol
• Coherent states, 6j symbols and properties of the next to leading order asymptotic expansions
• A Wick rotation for EPRL spin foam models
• Probing the Shape of Quantum Surfaces: the Quadrupole Moment Operator
• The hessian in spin foam models
• The $x_i$-eigenvalue problem on some new fuzzy spheres
• Deformations of Lorentzian Polyhedra: Kapovich-Millson phase space and SU(1,1) Intertwiners
• On localized and coherent states on some new fuzzy spheres