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Connecting lattice and relativistic models via conformal field theory

H. E. Boos·V. E. Korepin·F. A. Smirnov
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Abstract

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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H. E. Boos, V. E. Korepin, F. A. Smirnov. 2003-11-15. Connecting lattice and relativistic models via conformal field theory. https://arxiv.org/abs/math-ph/0311020

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