Properties of linear integral equations related to the six-vertex model with disorder parameter II
Properties of linear integral equations related to the six-vertex model with disorder parameter II
复制标题
无序参数II的六顶点模型相关线性积分方程的性质
DOI：
10.1088/1751-8113/45/14/145202
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
F. Göhmann
中科院分区：
文献类型：
--
作者：
H. Boos;F. Göhmann
我们研究某些功能的背景下产生的相关函数的XXZ自旋链和相关的各种标度限制的基础六顶点模型的可积场理论的计算。我们表明，这些函数中的几个与线性积分方程相关的函数可以通过对主函数Φ作用（变形）差分算子来获得。后者是定义在一个功能方程和它的渐近行为。集中在所谓的温度的情况下，我们表明，这些条件唯一地确定了主函数的高温级数展开。这也为导出函数的高温展开提供了一种有效的计算方案。
We study certain functions arising in the context of the calculation of correlation functions of the XXZ spin chain and of integrable field theories related to various scaling limits of the underlying six-vertex model. We show that several of these functions that are related to linear integral equations can be obtained by acting with (deformed) difference operators on a master function Φ. The latter is defined in terms of a functional equation and of its asymptotic behavior. Concentrating on the so-called temperature case, we show that these conditions uniquely determine the high-temperature series expansions of the master function. This provides an efficient calculation scheme for the high-temperature expansions of the derived functions as well.