Universal functional equations for spectrum, thermodynamics and correlation functions of integrable lattice models

可积晶格模型的谱、热力学和相关函数的通用函数方程

• 批准号: 398579888
• 负责人: Professor Dr. Hermann Boos
• 金额: --
• 依托单位: Arbeitsgruppe Kondensierte Materie
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2018
• 资助国家: 德国
• 起止时间: 2017-12-31 至 2020-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/398579888?language=en
• 关键词: Universal; functional; equations; spectrum; thermodynamics

The main objective of this project is to develop methods for the exactand efficient calculation of correlation functions of local operators inintegrable lattice models. In previous work we have shown that thecorrelation functions of the spin-1/2 Heisenberg chain and of relatedintegrable models are characterized by a specific structure, similar toWick's theorem for free Fermions, which we have called a `hiddenFermionic structure': longer-range correlation functions arepolynomials in one-point functions and neighbour-correlators, whosecoefficients are determined by the representation theory of theunderlying infinite-dimensional symmetry algebra. Here we plan toutilize our experience with the derivation of universal functionalequations in order to study the question if similar hidden algebraicstructures exist for the higher-spin realizations of the integrableHeisenberg chains or for integrable lattice models connected withaffine quantum groups of higher rank.

该项目的主要目的是开发方法，以确切和有效计算本地运算符的不集成晶格模型的相关函数。在先前的工作中，我们已经表明，自旋-1/2海森堡链和相关整合模型的相关函数的特征是特定的结构，类似的自由费用定理，我们称之为“隐藏式结构”：较长范围的相关函数是由单位函数和范围的函数确定的。无限维对称代数。在这里，我们计划通过通用功能弹出的推导来宣传我们的经验，以研究一个问题，即是否存在类似的隐藏代数结构，以实现集成的Heisenberg链的更高旋转实现或与较高等级的咖啡因量子组相连的可集成的晶格模型。