Dynamical correlation functions of the XXZ model at finite temperatures

我们项目的主要目标是推导出海森堡-伊辛链(XXZ链)在温度T的热浴平衡下的动力学关联函数的精确和明确的结果。我们相信这现在是可能的，因为我们的研究小组的第一个资助期开发了新的“热形式因子展开”。我们期望得到两点函数的长时间、大距离的渐近性以及任意固定时空点处的高温渐近性的显式结果。此外，我们希望热形状因子展开将被证明是有效的数值，这将使我们能够计算有限温度下准一维磁性化合物的动力学性质。

The main goal of our project is to deduce exact and explicit results for dynamical correlation functions of the Heisenberg-Ising chain (XXZ chain) in equilibrium with a heat bath of temperature T. We believe that this is now possible due to the novel 'thermal form factor expansion' developed during the first funding period of our research group. We expect to obtain explicit results for the long-time, large-distance asymptotics of two-point functions as well as for the high-temperature asymptotics at any fixed space-time point. We are hoping moreover, that the thermal form factor expansion will prove to be numerically efficient which would enable us to calculate the dynamical properties of quasi-one-dimensional magnetic compounds at finite temperatures.