论文标题

有效的自由用颜色的形式和XY自旋链

Effective free-fermionic form factors and the XY spin chain

论文作者

Gamayun, O., Iorgov, N., Zhuravlev, Yu.

论文摘要

我们引入了具有任意相横向的一维晶格费米的有效形式。我们研究定义为一系列这些形式的tau函数。一方面,我们执行确切的求和,并将tau在热力学极限中充当弗雷德姆的决定因素。另一方面,简单的形式因素表达式使我们能够将相应的序列作为基本功能的积分呈现。使用这种方法,我们重新介绍了有限温度下XY量子链的静态相关函数的渐近学。

We introduce effective form factors for one-dimensional lattice fermions with arbitrary phase shifts. We study tau functions defined as series of these form factors. On the one hand we perform the exact summation and present tau functions as Fredholm determinants in the thermodynamic limit. On the other hand simple expressions of form factors allow us to present the corresponding series as integrals of elementary functions. Using this approach we re-derive the asymptotics of static correlation functions of the XY quantum chain at finite temperature.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源