双粒子-空穴对对量子可积模型动态关联函数的贡献
The two particle-hole pairs contribution to the dynamic correlation functions of quantum integrable models
摘要：
本文考虑了用热力学形状因子方法计算量子可积模型的动态关联函数的问题。具体来说，我们专注于当地运营商的相关性，保存粒子的数量，并考虑2粒子孔贡献他们的两点功能。随着开发的方法普遍适用于任何有限的能量和熵的状态，我们的主要重点是热状态。为了验证这一方法，我们选择Lieb-Liniger模型，研究了小动量2粒子-空穴激发对动态密度-密度关联函数的主要贡献。我们也考虑类似的贡献，两点函数的更高的局部守恒密度和电流存在于可积理论。
英文摘要：
We consider the problem of computing dynamic correlation functions of quantum integrable models employing the thermodynamic form-factor approach. Specifically, we focus on correlations of local operators that conserve the number of particles and consider the 2-particle-hole contribution to their two-point functions. With the method developed being generally applicable to any finite energy and entropy state, our primary focus is on the thermal states. To exemplify this approach, we chose the Lieb-Liniger model and study the leading contribution from 2-particle-hole excitations at small momenta to the dynamic density-density correlation function. We also consider analogous contributions to two-point functions of higher local conserved densities and currents present in integrable theories.
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