Radiative corrections to the Lorentzian EPRL spin foam propagator
arXiv:2206.14755 · doi:10.1103/PhysRevD.106.066022
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.
20 pages, 11 figures
References in corpus (7)
- LQG vertex with finite Immirzi parameter
- A New Spin Foam Model for 4d Gravity
- Divergences and Orientation in Spinfoams
- How-To compute EPRL spin foam amplitudes
- Numerical analysis of the self-energy in covariant Loop Quantum Gravity
- The accidental flatness constraint does not mean a wrong classical limit
- Studying the EPRL spinfoam self-energy
Cited by in corpus (6)
- Markov Chain Monte Carlo methods for graph refinement in Spinfoam Cosmology
- Summing bulk quantum numbers with Monte Carlo in spin foam theories
- Spinfoams: Foundations
- Spikes and spines in 4D Lorentzian simplicial quantum gravity
- Numerical approach to the black-to-white hole transition
- A Monte Carlo algorithm for spin foam intertwiners