Fermi-Dirac Wigner function for massive spin-1/2 particles in local equilibrium

Quantum Physics arXiv:2511.09580 (quant-ph) [Submitted on 12 Nov 2025] Title:Fermi-Dirac Wigner function for massive spin-1/2 particles in local equilibrium Authors:Sudip Kumar Kar, Valeriya Mykhaylova View a PDF of the paper titled Fermi-Dirac Wigner function for massive spin-1/2 particles in local equilibrium, by Sudip Kumar Kar and 1 other authors View PDF HTML (experimental) Abstract:A recently proposed Boltzmann local equilibrium Wigner function for massive spin-1/2 particles is generalized to the case of Fermi-Dirac statistics. The resulting formula ensures the correct normalization of the mean polarization vector and reproduces the generalized thermodynamic relations with spin that were obtained in earlier studies. Moreover, we show that the macroscopic currents constructed from the Fermi-Dirac Wigner function can be obtained as derivatives of a suitably defined generating function with respect to the Lagrange multipliers (temperature, hydrodynamic flow, and chemical potentials). The identified generating function also indicates that the underlying framework can be classified as a divergence-type theory. Subjects: Quantum Physics (quant-ph); High Energy Physics - Phenomenology (hep-ph) Cite as: arXiv:2511.09580 [quant-ph] (or arXiv:2511.09580v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.09580 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Valeriya Mykhaylova [view email] [v1] Wed, 12 Nov 2025 10:03:23 UTC (30 KB) Full-text links: Access Paper: View a PDF of the paper titled Fermi-Dirac Wigner function for massive spin-1/2 particles in local equilibrium, by Sudip Kumar Kar and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-11 Change to browse by: hep-ph 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?)