English

Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain

High Energy Physics - Theory 2010-04-05 v1 Strongly Correlated Electrons Exactly Solvable and Integrable Systems

Abstract

We study asymptotic expansions of spin-spin correlation functions for the XXZ Heisenberg chain in the critical regime. We use the fact that the long-distance effects can be described by the Gaussian conformal field theory. Comparing exact results for form factors in the XYZ and sine-Gordon models, we determine correlation amplitudes for the leading and main sub-leading terms in the asymptotic expansions of spin-spin correlation functions. We also study the isotropic (XXX) limit of these expansions.

Keywords

Cite

@article{arxiv.hep-th/0206093,
  title  = {Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain},
  author = {Sergei Lukyanov and Veronique Terras},
  journal= {arXiv preprint arXiv:hep-th/0206093},
  year   = {2010}
}

Comments

32 pages, 2 figures