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arXiv math-ph/0311020math-phhep-thmath.MPmath.QA
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通过共形场论连接晶格模型和相对论模型

Connecting lattice and relativistic models via conformal field theory

H. E. Boos, V. E. Korepin, F. A. Smirnov

摘要:

我们考虑量子群不变XXZ模型。在红外极限下,用修正的能量动量张量描述了共形场论。关联函数与qKZ方程的水平-4的解有关。我们将这些解决方案与0级解决方案相关联。我们进一步考虑一般的矩阵元素(形状因子)包含本地运营商和渐近状态。我们解释说,qKZ方程的解决方案的公式建议这些矩阵元素的分解相对于相应的共形场论的状态。

英文摘要:

We consider the quantum group invariant XXZ-model. In infrared limit it describes Conformal Field Theory with modified energy-momentum tensor. The correlation functions are related to solutions of level -4 of qKZ equations. We describe these solutions relating them to level 0 solutions. We further consider general matrix elements (form factors) containing local operators and asymptotic states. We explain that the formulae for solutions of qKZ equations suggest a decomposition of these matrix elements with respect to states of corresponding Conformal Field Theory .

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