Summing bulk quantum numbers with Monte Carlo in spin foam theories
arXiv:2302.00072 · doi:10.1103/PhysRevD.107.106008
Abstract
We introduce a strategy to compute EPRL spin foam amplitudes with many internal faces numerically. We work with sl2cfoam-next, the state-of-the-art framework to numerically evaluate spin foam transition amplitudes. We find that uniform sampling Monte Carlo is exceptionally effective in approximating the sum over internal quantum numbers of a spin foam amplitude, considerably reducing the computational resources necessary. We apply it to compute large volume divergences of the theory and find surprising numerical evidence that the EPRL vertex renormalization amplitude is instead finite.
Version 2 matching published version, 25 pages and 21 figures
References in corpus (13)
- LQG vertex with finite Immirzi parameter
- A New Spin Foam Model for 4d Gravity
- Face amplitude of spinfoam quantum gravity
- A spin foam model for general Lorentzian 4-geometries
- Spinfoam on Lefschetz Thimble: Markov Chain Monte-Carlo Computation of Lorentzian Spinfoam Propagator
- How-To compute EPRL spin foam amplitudes
- Markov Chain Monte Carlo methods for graph refinement in Spinfoam Cosmology
- Numerical analysis of the self-energy in covariant Loop Quantum Gravity
- Spin-foams as semi-classical vertices: gluing constraints and a hybrid algorithm
- Radiative corrections to the Lorentzian EPRL spin foam propagator
- The accidental flatness constraint does not mean a wrong classical limit
- Geometry from local flatness in Lorentzian spin foam theories
- Studying the EPRL spinfoam self-energy
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