Asymptotic form of two-point correlation function of the XXZ spin chain
arXiv:cond-mat/0002219 · doi:10.1088/0305-4470/33/37/303
Abstract
Correlation functions of the XXZ spin chain in the critical regime is studied at zero-temperature. They are exactly represented in the Fredholm determinant form and are related with an operator-valued Riemann-Hilbert problem. Analyzing this problem we prove that a two-point correlation function consisting of sufficiently separated spin operators is expressed by power-functions of the distance between those operators.
9 pages, LaTeX2e (+ amssymb, amsthm); Proof of Lemma 1 is revised