Radiative corrections to the Lorentzian EPRL spin foam propagator
General Relativity and Quantum Cosmology
2022-11-04 v3
Abstract
We numerically estimate the divergence of several two-vertex diagrams that contribute to the radiative corrections for the Lorentzian EPRL spin foam propagator. We compute the amplitudes as functions of a homogeneous cutoff over the bulk quantum numbers, fixed boundary data, and different Immirzi parameters, and find that for a class of two-vertex diagrams, those with fewer than six internal faces are convergent. The calculations are done with the numerical framework sl2cfoam-next.
Keywords
Cite
@article{arxiv.2206.14755,
title = {Radiative corrections to the Lorentzian EPRL spin foam propagator},
author = {Pietro Donà and Pietropaolo Frisoni and Edward Wilson-Ewing},
journal= {arXiv preprint arXiv:2206.14755},
year = {2022}
}
Comments
20 pages, 11 figures