论文标题
在抗铁磁大规模状态下，海森堡 - 链链的纵向两点功能的热型因子序列
A thermal form factor series for the longitudinal two-point function of the Heisenberg-Ising chain in the antiferromagnetic massive regime
论文作者
论文摘要
我们考虑抗铁磁大规模机制中XXZ量子自旋链的纵向动力学两点功能。它具有基于模型量子传递矩阵的形式因素的串联表示。该系列的$ n $ th summand是量子传输矩阵的所有$ n $ particle $ n $ hole-hole激励的多个积分会计。在以前的作品中，在积分下出现的形式因子幅度的表达式再次表示为多个积分，或者是弗雷德霍尔姆决定因素。在这里，我们获得了一个在零温度极限下降低的表示，从本质上讲，这是两个有限矩阵的决定因素的乘积，其条目是已知的特殊功能。这将促进对相关函数的进一步分析。
We consider the longitudinal dynamical two-point function of the XXZ quantum spin chain in the antiferromagnetic massive regime. It has a series representation based on the form factors of the quantum transfer matrix of the model. The $n$th summand of the series is a multiple integral accounting for all $n$-particle $n$-hole excitations of the quantum transfer matrix. In previous works the expressions for the form factor amplitudes appearing under the integrals were either again represented as multiple integrals or in terms of Fredholm determinants. Here we obtain a representation which reduces, in the zero-temperature limit, essentially to a product of two determinants of finite matrices whose entries are known special functions. This will facilitate the further analysis of the correlation function.
