p-Adic Dirac Equations and the Jackiw-Rebbi Model
Summarize this article with:
Quantum Physics arXiv:2603.17200 (quant-ph) [Submitted on 17 Mar 2026] Title:p-Adic Dirac Equations and the Jackiw-Rebbi Model Authors:W. A. Zúñiga-Galindo View a PDF of the paper titled p-Adic Dirac Equations and the Jackiw-Rebbi Model, by W. A. Z\'u\~niga-Galindo View PDF HTML (experimental) Abstract:We present a new p-adic version of the Jackiw-Rebbi model. In the new model, the real numeric line is replaced by a p-adic line (the field of p-adic numbers Q_{p}), and the Dirac Hamiltonian is replaced by a non-local operator acting on complex-valued functions defined on Q_{p}. These Hamiltonians admit localized wavefunctions and allow long-range interactions, so spooky action at a distance is allowed. These features are not present in the original model. The new model gives the same predictions as the standard one. The p-adic line serves as a discrete model for the physical space; in this type of space, non-locality emerges naturally. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.17200 [quant-ph] (or arXiv:2603.17200v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.17200 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: W. A. Zuniga-Galindo [view email] [v1] Tue, 17 Mar 2026 23:03:23 UTC (17 KB) Full-text links: Access Paper: View a PDF of the paper titled p-Adic Dirac Equations and the Jackiw-Rebbi Model, by W. A. Z\'u\~niga-GalindoView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-03 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)