抽象玻色场模型的分类
Classification of abstract Bose field models
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中文总结 AI 辅助
本文对量子场论中一类抽象玻色场模型进行幺正等价分类,涵盖多种模型,还将分类应用于二次相互作用模型,解答了A. Arai的相关问题。
中文摘要 AI 辅助
我们对量子场论中一类抽象玻色场模型进行了幺正等价意义下的分类,该类模型包含抽象自由玻色场模型、抽象van Hove–Miyatake模型以及红外重整化的van Hove–Miyatake模型。此外,作为分类的应用,我们对二次相互作用模型进行了分类,其结果解答了A. Arai关于红外重整化van Hove–Miyatake模型分类的问题。
英文摘要
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.