玻色子通用特征层次的Tau函数与关联函数
Tau functions and correlation functions of the bosonic universal character hierarchy
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中文总结 AI 辅助
研究玻色子通用特征层次的构建，核心方法是在带电自由玻色子框架内，通过有序指数算子表示Tau函数并推导关联函数，主要贡献是明确了其与广义相位模型关联函数的关系。
中文摘要 AI 辅助
本文关注玻色子通用特征（UC）层次的构建，其Tau函数在带电自由玻色子框架内研究。对应玻色子UC层次的李代数是$\mathfrak{\widehat{gl}}_{2\infty}$。表明玻色子UC层次的Tau函数可基于一系列有序指数算子表示。还推导了玻色子UC层次的关联函数，其可表示为UC的乘积，且该层次的关联函数是广义相位模型关联函数的倒数。
英文摘要
This paper is concerned with the construction of the bosonic universal character (UC) hierarchy, whose tau functions are investigated within the framework of charged free bosons. The Lie algebra corresponding to the bosonic UC hierarchy is $\mathfrak{\widehat{gl}}_{2\infty}$. It is shown that the tau functions of bosonic UC hierarchy can be represented based on a series of ordered exponential operators. Furthermore, we derive correlation functions of the bosonic UC hierarchy, which can be expressed as the product of UCs. It is worth noting that the correlation functions of the bosonic UC hierarchy are the inverse of the correlation functions of the generalized phase model.
