Connecting lattice and relativistic models via conformal field theory

2003/11/12 by H. E. Boos, Boos, H. E., V. E. Korepin +3
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #hep-th #math-ph #math.MP #math.QA

paper · pdf · doi:10.48550/arxiv.math-ph/0311020

22 pages, 1 figure

arxiv created 2003/11/15 · arxiv updated 2009/12/01

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 .

Related

• THE MODELS OF TWO-DIMENSIONAL CONFORMAL QUANTUM FIELD THEORY WITH Zn SYMMETRY
• The Density Matrix Renormalization Group, Quantum Groups and Conformal Field Theory
• Scaling limit of Q-functions for the \cal Z_r invariant inhomogeneous XXZ spin-(1)/(2) chain near free fermion point
• Analytic Studies of Fermions in the Conformal Bootstrap
• Group Theoretical Approach to the Construction of Conformal Field Theories