标题： 可解模型关联函数理论中的正规排序 显示英文标题

标题： Normal Ordering in the Theory of Correlation Functions of Exactly Solvable Models

摘要： 我们研究了可以通过代数贝特 Ansatz 解决的量子统计力学模型。计算关联函数的一般方法基于确定性表示的方法。为了消除两体散射并将关联函数表示为弗雷德霍姆积分算子行列式的均值值，引入了辅助的 Fock 空间和辅助玻色场；对于大空间和时间分离，这种表示形式非常简单。本文解释了如何计算辅助 Fock 空间的弗雷德霍姆行列式渐近表达式的均值值，这对于评估物理关联函数的渐近形式是必要的。 显示英文摘要

摘要： We study models of quantum statistical mechanics which can be solved by the algebraic Bethe ansatz. The general method of calculation of correlation functions is based on the method of determinant representations. The auxiliary Fock space and auxiliary Bose fields are introduced in order to remove the two body scattering and represent correlation functions as a mean value of a determinant of a Fredholm integral operator; the representation has a simple form for large space and time separations. In this paper we explain how to calculate the mean value in the auxiliary Fock space of asymptotic expression of the Fredholm determinant. It is necessary for the evaluation of the asymptotic form of the physical correlation functions.