Algebraic representation of correlation functions in integrable spin chains

Abstract

Taking the XXZ chain as the main example, we give a review of an algebraic representation of correlation functions in integrable spin chains obtained recently. We rewrite the previous formulas in a form which works equally well for the physically interesting homogeneous chains. We discuss also the case of quantum group invariant operators and generalization to the XYZ chain. Communicated by Vincent Rivasseau. © Birkhäuser Verlag, Basel/Switzerland 2007.