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 (5)

• Loop quantum cosmology of k=1 FRW models
• Flipped spinfoam vertex and loop gravity
• The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
• Linearized dynamics from the 4-simplex Regge action
• Physical boundary state for the quantum tetrahedron

Cited by in corpus (7)

• The complete LQG propagator: II. Asymptotic behavior of the vertex
• 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
• Numerical indications on the semiclassical limit of the flipped vertex
• Intertwiner dynamics in the flipped vertex
• Tensorial Structure of the LQG graviton propagator