Studying the EPRL spinfoam self-energy

Abstract

I present some recent progresses in the study of the EPRL self-energy amplitude. New numerical methods allow to analyze how the divergence scales, for which previous works provided very different lower and upper bounds. I show the role that the Immirzi parameter plays in the asymptotic behavior, and I discuss the dynamical expectation value of the dihedral angle boundary observable.

19 pages, contribution to the Proceedings of the 16th Marcel Grossmann Meeting (MG16 - July 2021)

References in corpus (6)

• LQG vertex with finite Immirzi parameter
• The loop-quantum-gravity vertex-amplitude
• Polyhedra in loop quantum gravity
• Zakopane lectures on loop gravity
• Discreteness of the volume of space from Bohr-Sommerfeld quantization
• A high-performance code for EPRL spin foam amplitudes

Cited by in corpus (3)

• Numerical analysis of the self-energy in covariant Loop Quantum Gravity
• Summing bulk quantum numbers with Monte Carlo in spin foam theories
• Radiative corrections to the Lorentzian EPRL spin foam propagator