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arXiv · 2505.19977

Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach

Marco Falconi·Benjamin Hinrichs
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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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Marco Falconi, Benjamin Hinrichs. 2025-05-26. Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach. https://arxiv.org/abs/2505.19977

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