Numerical evidence of regularized correlations in spin foam gravity

Abstract

We report on the numerical analysis of the area correlations in spin foam gravity on a single 4-simplex considered by Rovelli in PRL 97 (2006) 151301. We compare the asymptotics and confirm the inverse squared distance leading behaviour at large scales. This supports the recent advances on testing the semiclassical limit of the theory. Furthermore, we show that the microscopic discreteness of the theory dynamically suppresses and regularizes the correlations at the Planck scale.

5 pages, 3 figures

References in corpus (19)

• Relativistic spin networks and quantum gravity
• Loop quantum cosmology of k=1 FRW models
• Quantum Gravity and Regge Calculus
• Flipped spinfoam vertex and loop gravity
• Graviton propagator from background-independent quantum gravity
• Discrete structures in gravity
• The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
• Asymptotics of Relativistic Spin Networks
• Asymptotics of 6j and 10j symbols
• Particle scattering in loop quantum gravity
• Algebraic Quantum Gravity (AQG) II. Semiclassical Analysis
• Asymptotics of 10j symbols
• Group Integral Techniques for the Spinfoam Graviton Propagator
• Linearized dynamics from the 4-simplex Regge action
• Towards the graviton from spinfoams: higher order corrections in the 3d toy model
• Spin Foam Models of Riemannian Quantum Gravity
• Towards the graviton from spinfoams: the 3d toy model
• A semiclassical tetrahedron
• Physical boundary state for the quantum tetrahedron

Cited by in corpus (30)

• On the semiclassical limit of 4d spin foam models
• LQG propagator from the new spin foams
• The complete LQG propagator: II. Asymptotic behavior of the vertex
• Lorentzian spinfoam propagator
• Numerical study of the Lorentzian Engle-Pereira-Rovelli-Livine spin foam amplitude
• SU(2) graph invariants, Regge actions and polytopes
• Holonomy spin foam models: Asymptotic geometry of the partition function
• Numerical methods for EPRL spin foam transition amplitudes and Lorentzian recoupling theory
• Quantum gravity and gravitational-wave astronomy
• Spinfoam on Lefschetz Thimble: Markov Chain Monte-Carlo Computation of Lorentzian Spinfoam Propagator
• Recurrence relations for spin foam vertices
• Gravitational-wave luminosity distance in quantum gravity
• A Lagrangian approach to the Barrett-Crane spin foam model
• Quasi-local holographic dualities in non-perturbative 3d quantum gravity II - From coherent quantum boundaries to BMS3 characters
• Intertwiner Entanglement on Spin Networks
• Towards the graviton from spinfoams: the complete perturbative expansion of the 3d toy model
• Semiclassical regime of Regge calculus and spin foams
• Spin-Foam Models and the Physical Scalar Product
• Sub-leading asymptotic behaviour of area correlations in the Barrett-Crane model
• Numerical indications on the semiclassical limit of the flipped vertex
• 2-vertex Lorentzian Spin Foam Amplitudes for Dipole Transitions
• The 6j-symbol: Recursion, Correlations and Asymptotics
• Emergent Braided Matter of Quantum Geometry
• Intertwiner dynamics in the flipped vertex
• Tensorial Structure of the LQG graviton propagator
• A Short and Subjective Introduction to the Spinfoam Framework for Quantum Gravity
• Evaluation of new spin foam vertex amplitudes
• Measuring the last burst of non-singular black holes
• Boundary State Stability under Spinfoam Evolution for the Quantum 4-Simplex
• Hessian in the spinfoam models with cosmological constant