Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States
Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States
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共形场论中的费米子基础和激发态热力学 Bethe Ansatz
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
H. Boos
中科院分区：
文献类型：
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作者：
H. Boos
我们把文（4）的结果推广到格点六顶点模型的松原方向激发态的情形。我们建立了定义在圆柱上的六顶点模型的配分函数的标度极限与插入的准局部算子和对应于粒子-空穴激发的特殊边界条件之间的等价性，一方面，某些三点关联函数的共形场论（CFT）的另一方面。与（4）一样，本文用文献（1，2，3）中提出的费米子基及其共形极限来描述准定域算符。在（4）中，我们指出在共形极限下的费米子产生算符产生一个基，它等价于A. Zamolodchikov in（10）.在这里，我们认为，为了完全确定上述费米子基础和基础的后代在CFT之间的转换，我们需要涉及激发。在晶格模型的一侧，我们使用适合于激发态情况的TBA方法。我们详细考虑的情况下，后裔的八个水平。
We generalize results of the paper (4) to the case of excited states taken in the so- called Matsubara direction of the lattice six vertex model. We establish an equivalence between the scaling limit of the partition function of the six vertex model defined on a cylinder with the inserted quasi-local operators and special boundary conditions corresponding to the particle- hole excitations on one hand and certain three-point correlation functions of the conformal field theory (CFT) on the other hand. As in (4), the fermionic basis developed in the papers (1, 2, 3) and its conformal limit is used for a description of the quasi-local operators. In (4) we claimed that the fermionic creation operators taken in conformal limit generate a basis equivalent to the basis of the descendant states in the conformal field theory modulo integrals of motion suggested by A. Zamolodchikov in (10). Here we argue that in order to completely determine the transformation between the above fermionic basis and the basis of descendants in the CFT we need to involve excitations. On the side of the lattice model we use the TBA approach adapted to the case of the excited states. We consider in detail the case of the descendant on the eights level.