Summing bulk quantum numbers with Monte Carlo in spin foam theories

Autor:	Dona, Pietro, Frisoni, Pietropaolo
Rok vydání:	2023
Předmět:	General Relativity and Quantum Cosmology
Zdroj:	Phys. Rev. D 107, 106008 (2023)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.107.106008
Popis:	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. Comment: Version 2 matching published version, 25 pages and 21 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.00072 Zobrazit plný text záznamu View this record from Arxiv