[2212.04599] Resurgence of the Effective Action in Inhomogeneous Fields Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search High Energy Physics - Theory arXiv:2212.04599 (hep-th) [Submitted on 8 Dec 2022] Title: Resurgence of the Effective Action in Inhomogeneous Fields Authors: Gerald V. Dunne , Zachary Harris View a PDF of the paper titled Resurgence of the Effective Action in Inhomogeneous Fields, by Gerald V. Dunne and Zachary Harris View PDF HTML (experimental) Abstract: We show how background field inhomogeneities modify the non-perturbative structure of the effective action. The simple Borel poles of the Euler-Heisenberg effective action become branch points, and new branch points also appear, indicating new non-perturbative effects. This information is resurgently encoded in the perturbative weak field expansion, and becomes physically significant for strongly inhomogeneous fields. We also show that resurgent extrapolation methods permit the decoding of a surprising amount of non-perturbative information from a relatively modest amount of perturbative input, enabling accurate analytic continuations from weak field to strong field, and of a spatially dependent magnetic background to a time dependent electric background. These extrapolations are far superior to standard WKB and locally constant field approximations. Comments: 26 pages, 10 figures Subjects: High Energy Physics - Theory (hep-th) ; High Energy Physics - Phenomenology (hep-ph); Mathematical Physics (math-ph) Cite as: arXiv:2212.04599 [hep-th] (or arXiv:2212.04599v1 [hep-th] for this version) https://doi.org/10.48550/arXiv.2212.04599 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Physical Review D 2023-03-03 Related DOI : https://doi.org/10.1103/PhysRevD.107.065003 Focus to learn more DOI(s) linking to related resources Submission history From: Gerald V. Dunne [ view email ] [v1] Thu, 8 Dec 2022 23:14:25 UTC (399 KB) Full-text links: Access Paper: View a PDF of the paper titled Resurgence of the Effective Action in Inhomogeneous Fields, by Gerald V. Dunne and Zachary Harris View PDF HTML (experimental) TeX Source view license Current browse context: hep-th < prev | next > new | recent | 2022-12 Change to browse by: hep-ph math math-ph math.MP References & Citations INSPIRE HEP NASA ADS Google 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? ) 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? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) 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) Major funding support from