{"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/lips-p-adic-and-singular-phase-space","title":"Lips: p-adic and singular phase space","arxiv_id":"2305.14075","date":"2023-05-23","proceeding":null,"authors":["Giuseppe De Laurentis"],"abstract":"I present new features of the open-source Python package lips, which leverages the newly developed pyadic and syngular libraries. These developments enable the generation and manipulation of massless phase-space configurations beyond real kinematics, defined in terms of four-momenta or Weyl spinors, not only over complex numbers ($\\mathbb{C}$), but now also over finite fields ($\\mathbb{F}_p$) and p-adic numbers ($\\mathbb{Q}_p$). The package also offers tools to evaluate arbitrary spinor-helicity expressions in any of these fields. Furthermore, using the algebraic-geometry submodule, which utilizes Singular [1] through the Python interface syngular, one can define and manipulate ideals in spinor variables, enabling the identification of irreducible surfaces where scattering amplitudes have well-defined zeros and poles. As an example application, I demonstrate how to infer valid partial-fraction decompositions from numerical evaluations.","url_abs":"https://arxiv.org/abs/2305.14075v1","url_pdf":"https://arxiv.org/pdf/2305.14075v1.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":"lips-p-adic-and-singular-phase-space","repo_url":"https://github.com/GDeLaurentis/lips","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null},{"paper_slug":"lips-p-adic-and-singular-phase-space","repo_url":"https://github.com/gdelaurentis/syngular","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"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}