{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/numerical-methods-for-eprl-spin-foam","title":"Numerical methods for EPRL spin foam transition amplitudes and Lorentzian recoupling theory","arxiv_id":"1807.03066","date":"2018-07-09","proceeding":null,"authors":["Pietro Dona","Giorgio Sarno"],"abstract":"The intricated combinatorial structure and the non-compactness of the Lorentz group have always made the computation of $SL(2,\\mathbb{C})$ EPRL spin foam transition amplitudes a very hard and resource demanding task. With \\texttt{sl2cfoam} we provide a C-coded library for the evaluation of the Lorentzian EPRL vertex amplitude. We provide a tool to compute the Lorentzian EPRL 4-simplex vertex amplitude in the intertwiner basis and some utilities to evaluate SU(2) invariants, booster functions and $SL(2,\\mathbb{C})$ Clebsch-Gordan coefficients. We discuss the data storage, parallelizations, time, and memory performances and possible future developments.","url_abs":"http://arxiv.org/abs/1807.03066v3","url_pdf":"http://arxiv.org/pdf/1807.03066v3.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"numerical-methods-for-eprl-spin-foam","repo_url":"https://bitbucket.org/giorgiosarno/sl2cfoam-asym-1.0","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}