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Classification of abstract Bose field models
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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BibTeX
@misc{matsuzawa2026classification,
title = {{Classification of abstract Bose field models}},
author = {Yasumichi Matsuzawa},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.03863},
eprint = {2609.03863},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.03863},
}
RIS
TY - UNPB
TI - Classification of abstract Bose field models
AU - Yasumichi Matsuzawa
PY - 2026
DA - 2026/09/03
PB - arXiv
DO - 10.48550/arxiv.2609.03863
UR - https://arxiv.org/abs/2609.03863
AB - 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.
ER -