{"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/a-massless-interacting-fermionic-cellular","title":"A massless interacting Fermionic Cellular Automaton exhibiting bound states","arxiv_id":"2304.14687","date":"2023-04-28","proceeding":null,"authors":["Edoardo Centofanti","Alessandro Bisio","Paolo Perinotti"],"abstract":"We present a Fermionic Cellular Automaton model which describes massless Dirac fermion in 1+1 dimension coupled with local, number preserving interaction. The diagonalization of the two particle sector shows that specific values of the total momentum and of the coupling constant allows for the formation of bound states. Furthermore, we present a classification of the local number-preserving interactions that are invariant under the isotropy group of the cellular automaton which simulates the Weyl equation.","url_abs":"https://arxiv.org/abs/2304.14687v2","url_pdf":"https://arxiv.org/pdf/2304.14687v2.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":"a-massless-interacting-fermionic-cellular","repo_url":"https://github.com/edoardo100/interacting_dirac_qca","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"jax","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}