Excited states by analytic continuation of TBA equations
Excited states by analytic continuation of TBA equations
复制标题
TBA 方程的解析延拓的激发态
DOI：
10.1016/s0550-3213(96)00516-0
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
R. Tateo
中科院分区：
文献类型：
--
作者：
P. Dorey;R. Tateo
我们提出了一种解决可积模型激发态积分方程问题的方法，从基态的热力学 Bethe ansatz 方程开始。这个想法依赖于通过耦合常数的复值进行解析延拓，以及对方程及其解所经历的单调性的分析。对于缩放 Lee-Yang 模型，我们以这种方式找到了自旋零扇区中的一粒子和两粒子态的方程，并提出了各种概括。数值结果显示与截断共角空间方法非常一致，并且我们还对一些紫外和红外渐近进行了分析处理。
We suggest an approach to the problem of finding integral equations for the excited states of an integrable model, starting from the thermodynamic Bethe ansatz equations for its ground state. The idea relies on analytic continuation through complex values of the coupling constant, and an analysis of the monodromies that the equations and their solutions undergo. For the scaling Lee-Yang model, we find equations in this way for the one- and two-particle states in the spin-zero sector, and suggest various generalisations. Numerical results show excellent agreement with the truncated conformal space approach, and we also treat some of the ultraviolet and infrared asymptotics analytically.