{"language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"In this short communication we discuss the ultraviolet renormalization of the van Hove-Miyatake scalar field, generated by any distributional source. An abstract algebraic approach, based on the study of a special class of ground states of the van Hove-Miyatake dynamical map is compared with an Hamiltonian renormalization that makes use of a non-unitary dressing transformation. The two approaches are proved to yield equivalent results."}],"author":[{"first_name":"Marco","full_name":"Falconi, Marco","last_name":"Falconi"},{"last_name":"Hinrichs","orcid":"0000-0001-9074-1205","full_name":"Hinrichs, Benjamin","first_name":"Benjamin","id":"99427"}],"status":"public","department":[{"_id":"799"}],"type":"preprint","date_updated":"2026-01-16T08:58:12Z","date_created":"2026-01-16T08:57:34Z","year":"2025","citation":{"chicago":"Falconi, Marco, and Benjamin Hinrichs. “Ultraviolet Renormalization of the van Hove-Miyatake Model: An Algebraic and Hamiltonian Approach.” ArXiv:2505.19977, 2025.","apa":"Falconi, M., & Hinrichs, B. (2025). Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach. In arXiv:2505.19977.","short":"M. Falconi, B. Hinrichs, ArXiv:2505.19977 (2025).","ama":"Falconi M, Hinrichs B. Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach. arXiv:250519977. Published online 2025.","bibtex":"@article{Falconi_Hinrichs_2025, title={Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach}, journal={arXiv:2505.19977}, author={Falconi, Marco and Hinrichs, Benjamin}, year={2025} }","ieee":"M. Falconi and B. Hinrichs, “Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach,” arXiv:2505.19977. 2025.","mla":"Falconi, Marco, and Benjamin Hinrichs. “Ultraviolet Renormalization of the van Hove-Miyatake Model: An Algebraic and Hamiltonian Approach.” ArXiv:2505.19977, 2025."},"title":"Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach","_id":"63643","user_id":"99427","publication":"arXiv:2505.19977","external_id":{"arxiv":["2505.19977"]}}