Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach
M. Falconi, B. Hinrichs, ArXiv:2505.19977 (2025).
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Falconi, Marco;
Hinrichs, BenjaminLibreCat 
Abstract
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.
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arXiv:2505.19977
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Falconi M, Hinrichs B. Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach. arXiv:250519977. Published online 2025.
Falconi, M., & Hinrichs, B. (2025). Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach. In arXiv:2505.19977.
@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} }
Falconi, Marco, and Benjamin Hinrichs. “Ultraviolet Renormalization of the van Hove-Miyatake Model: An Algebraic and Hamiltonian Approach.” ArXiv:2505.19977, 2025.
M. Falconi and B. Hinrichs, “Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach,” arXiv:2505.19977. 2025.
Falconi, Marco, and Benjamin Hinrichs. “Ultraviolet Renormalization of the van Hove-Miyatake Model: An Algebraic and Hamiltonian Approach.” ArXiv:2505.19977, 2025.
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