The weak coupling limit of the Pauli-Fierz model

[2505.07253] The weak coupling limit of the Pauli-Fierz model Skip to main content Search Submit Donate Log in Mathematical Physics arXiv:2505.07253 (math-ph) This paper has been withdrawn by Fumio Hiroshima [Submitted on 12 May 2025 ( v1 ), last revised 27 Aug 2026 (this version, v5)] Title: The weak coupling limit of the Pauli-Fierz model Authors: Fumio Hiroshima No PDF available, click to view other formats Abstract: We investigate the weak coupling limit of the Pauli- Fierz Hamiltonian within a mathematically rigorous framework. Furthermore, we establish the asymptotic behavior of the effective mass in this regime. Comments: The paper contains a serious error, and I will need considerable time to correct it Subjects: Mathematical Physics (math-ph) Cite as: arXiv:2505.07253 [math-ph] (or arXiv:2505.07253v5 [math-ph] for this version) https://doi.org/10.48550/arXiv.2505.07253 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Fumio Hiroshima [ view email ] [v1] Mon, 12 May 2025 06:08:07 UTC (31 KB) [v2] Sun, 29 Jun 2025 11:54:31 UTC (32 KB) [v3] Mon, 28 Jul 2025 13:58:18 UTC (32 KB) [v4] Thu, 29 Jan 2026 13:23:59 UTC (35 KB) [v5] Thu, 27 Aug 2026 00:22:16 UTC (1 KB) (withdrawn) Full-text links: Access Paper: Withdrawn Current browse context: math-ph < prev | next > new | recent | 2025-05 Change to browse by: math math.MP References & Citations SciX Google Scholar Semantic Scholar export BibTeX citation 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? ) 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? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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