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

2025/05/26 by Marco Falconi, Falconi, Marco, Benjamin H. Hinrichs +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2505.19977

openalex publication_date 2025/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions
• Abstract semiclassical analysis of the van Hove model
• Asymptotics in Spin-Boson type models

Cited by

• Renormalization of generalized spin-boson models with critical ultraviolet divergences

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