Studying the EPRL spinfoam self-energy

TL;DR

This paper advances the understanding of the EPRL spinfoam model by analyzing its self-energy amplitude, divergence scaling, and the influence of the Immirzi parameter using new numerical methods.

Contribution

It introduces novel numerical techniques to study divergence scaling and explores the impact of the Immirzi parameter on the EPRL self-energy amplitude.

Findings

Divergence scales are characterized with new numerical methods.

The Immirzi parameter significantly influences the asymptotic behavior.

The dynamical expectation value of the dihedral angle is analyzed.

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.