Notes on scaling limits in SOS models, local operators and form factors
Abstract
Scaling limits of the SOS and RSOS models in the regime~III are considered. These scaling limits are believed to be described by the sineGordon model and the restricted sineGordon models (or perturbed minimal conformal models) respectively. We study two different scaling limits and establish the correspondence of the scaling local height operators to exponential or primary fields in quantum field theory. An integral representation for form factors is obtained in this way. In the case of the sineGordon model this reproduces Lukyanov's well known representation. The relation between vacuum expectation values of local operators in the sineGordon model and perturbed minimal models is also discussed.
 Publication:

arXiv eprints
 Pub Date:
 October 2005
 arXiv:
 arXiv:hepth/0510058
 Bibcode:
 2005hep.th...10058L
 Keywords:

 High Energy Physics  Theory
 EPrint:
 20 pages, LaTeX, a reference added