{"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/calculation-of-c-mathrm-sw-at-one-loop-order","title":"Calculation of $c_\\mathrm{SW}$ at one-loop order for Brillouin fermions","arxiv_id":"2302.11261","date":"2023-02-22","proceeding":null,"authors":["Maximilian Ammer","Stephan Durr"],"abstract":"The Brillouin action is a Wilson-like lattice fermion action with a 81-point stencil, which was found to ameliorate the Wilson action in many respects. The Sheikholeslami-Wohlert coefficient $c_\\mathrm{SW}$ of the clover improvement term has a perturbative expansion $c_\\mathrm{SW}=c_\\mathrm{SW}^{(0)}+g_0^2c_\\mathrm{SW}^{(1)}+\\mathcal{O}(g_0^4)$. At tree-level $c_\\mathrm{SW}^{(0)}=r$ holds for Wilson and Brillouin fermions alike. We present the Feynman rules for the Brillouin action in lattice perturbation theory, and employ them to calculate the one-loop coefficient $c_\\mathrm{SW}^{(1)}$ with plaquette or L\\\"uscher-Weisz gluons. Numerically its value is found to be about half that of the Wilson action.","url_abs":"https://arxiv.org/abs/2302.11261v2","url_pdf":"https://arxiv.org/pdf/2302.11261v2.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":"calculation-of-c-mathrm-sw-at-one-loop-order","repo_url":"https://github.com/m-amm/lpt_brillouin","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}