XXZ模型III中的隐格拉斯曼结构：介绍松原方向
Hidden Grassmann Structure in the XXZ Model III: Introducing Matsubara direction
摘要：
我们解决的问题，计算温度关联函数的XXZ链，在我们以前的作品中开发的方法。本文计算了准定域算符的费米子基在无限体积极限下的期望值，同时保持Matsubara（或Trotter）方向有限。结果表示在两个基本量：一个比例$ρ(\z)$的传输矩阵特征值，和一个最近的邻居相关$ω(\z,ξ)$。我们解释说，后者被解释为规范的第二类微分变形阿贝尔积分理论。
英文摘要：
We address the problem of computing temperature correlation functions of the XXZ chain, within the approach developed in our previous works. In this paper we calculate the expected values of a fermionic basis of quasi-local operators, in the infinite volume limit while keeping the Matsubara (or Trotter) direction finite. The result is expressed in terms of two basic quantities: a ratio $ρ(\z)$ of transfer matrix eigenvalues, and a nearest neighbour correlator $ω(\z,ξ)$. We explain that the latter is interpreted as the canonical second kind differential in the theory of deformed Abelian integrals.
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