{"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/structure-of-radiative-corrections-in-a","title":"Structure of radiative corrections in a strong constant crossed field in the bubble-chain approximation","arxiv_id":"2109.00634","date":"2021-09-01","proceeding":null,"authors":["A. A. Mironov","A. M. Fedotov"],"abstract":"We present a calculation of the electron mass operator combining the bubble-chain photon and the leading order electron propagators in a strong constant crossed electromagnetic field. The photon propagator is obtained by a summation of the Dyson series over 1PI polarization loop insertions and is accounted for in general form. By applying the derived mass operator, we find the bubble-chain electron propagator and the elastic scattering amplitude. The results are expressed in the general form of expansion over $\\gamma$-matrix structures, each multiplied by a scalar invariant function of the electron virtuality and the quantum dynamical parameter $\\chi$. We perform their asymptotic analysis and identify the dominant contribution at $\\chi\\gg 1$. The presented calculations can be generalized by replacing the leading order electron propagator with the bubble-chain one. This will allow a consistent study the Dyson-Schwinger equations in the fully nonperturbative regime $\\alpha\\chi^{2/3}\\gtrsim1$ within the bubble-chain approximation. In addition, we accompany our paper with the open-access computer-algebraic scripts containing all the presented computations [https://github.com/ArsenyMironov/SFQED-Loops].","url_abs":"https://arxiv.org/abs/2109.00634v1","url_pdf":"https://arxiv.org/pdf/2109.00634v1.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":"structure-of-radiative-corrections-in-a","repo_url":"https://github.com/arsenymironov/sfqed-loops","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}