多种群模型中两点函数的渐近性态
Asymptotic behaviour of two-point functions in multi-species models
摘要：
本文研究了含多粒子激发的无质量量子可积模型中两点关联函数的长距离渐近行为。为此，我们将关联函数形状因子展开的大距离区域重新求和方法扩展到这些模型。我们的分析的主要特点是一个技术假设的大容量行为的形状因子的本地运营商在这样的模型。我们检查这个假设的有效性上的例子的$SU(3)$不变的XXX磁铁的局部运营商的形状因子在这个模型中的行列式表示。我们的方法证实了结构的临界指数先前获得的许多模型可解决的嵌套Bethe Anglands。
英文摘要：
We extract the long-distance asymptotic behaviour of two-point correlation functions in massless quantum integrable models containing multi-species excitations. For such a purpose, we extend to these models the method of a large-distance regime re-summation of the form factor expansion of correlation functions. The key feature of our analysis is a technical hypothesis on the large-volume behaviour of the form factors of local operators in such models. We check the validity of this hypothesis on the example of the $SU(3)$-invariant XXX magnet by means of the determinant representations for the form factors of local operators in this model. Our approach confirms the structure of the critical exponents obtained previously for numerous models solvable by the nested Bethe Ansatz.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
