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.
arXiv commentVersion 2 matching published version, 25 pages and 21 figures
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- A Monte Carlo algorithm for spin foam intertwiners
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- Lorentzian quantum gravity via Pachner moves: one-loop evaluation