[{"status":"public","abstract":[{"text":"In this paper we construct the non-trivial, renormalized Hamiltonian for a class of spin-boson models with supercritical form factors, including the one describing the Weisskopf-Wigner spontaneous emission. The renormalization is performed through both a self-energy and mass renormalization, in the so-called Hamiltonian formalism of constructive quantum field theory, implemented by a non-unitary dressing transformation. This solves the problem of triviality for unitarily-renormalized supercritical spin-boson models.","lang":"eng"}],"publication":"arXiv:2508.00805","type":"preprint","language":[{"iso":"eng"}],"department":[{"_id":"799"}],"user_id":"99427","_id":"63645","external_id":{"arxiv":["2508.00805"]},"project":[{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"}],"citation":{"ama":"Falconi M, Hinrichs B, Valentín Martín J. Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors. <i>arXiv:250800805</i>. Published online 2025.","ieee":"M. Falconi, B. Hinrichs, and J. Valentín Martín, “Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors,” <i>arXiv:2508.00805</i>. 2025.","chicago":"Falconi, Marco, Benjamin Hinrichs, and Javier Valentín Martín. “Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors.” <i>ArXiv:2508.00805</i>, 2025.","apa":"Falconi, M., Hinrichs, B., &#38; Valentín Martín, J. (2025). Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors. In <i>arXiv:2508.00805</i>.","bibtex":"@article{Falconi_Hinrichs_Valentín Martín_2025, title={Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors}, journal={arXiv:2508.00805}, author={Falconi, Marco and Hinrichs, Benjamin and Valentín Martín, Javier}, year={2025} }","short":"M. Falconi, B. Hinrichs, J. Valentín Martín, ArXiv:2508.00805 (2025).","mla":"Falconi, Marco, et al. “Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors.” <i>ArXiv:2508.00805</i>, 2025."},"year":"2025","title":"Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors","date_created":"2026-01-16T08:59:11Z","author":[{"first_name":"Marco","full_name":"Falconi, Marco","last_name":"Falconi"},{"id":"99427","full_name":"Hinrichs, Benjamin","last_name":"Hinrichs","orcid":"0000-0001-9074-1205","first_name":"Benjamin"},{"first_name":"Javier","full_name":"Valentín Martín, Javier","last_name":"Valentín Martín"}],"date_updated":"2026-01-16T09:01:45Z"}]