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arXiv · 2609.03863

Classification of abstract Bose field models

Yasumichi Matsuzawa
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Abstract

We classify a class of abstract Bose field models in quantum field theory up to unitary equivalence. The class includes abstract free Bose field models, abstract van Hove--Miyatake models, and infrared-renormalized van Hove--Miyatake models. Moreover, as an application of our classification, we classify quadratic interaction models. In particular, our results answer a question of A. Arai concerning the classification of infrared-renormalized van Hove--Miyatake models.

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Yasumichi Matsuzawa. 2026-09-03. Classification of abstract Bose field models. https://arxiv.org/abs/2609.03863

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