Scaling Lee-Yang Model on a Sphere. I. Partition Function
Abstract
Some general properties of perturbed (rational) CFT in the background metric of symmetric 2D sphere of radius are discussed, including conformal perturbation theory for the partition function and the large asymptotic. The truncated conformal space scheme is adopted to treat numerically perturbed rational CFT's in the spherical background. Numerical results obtained for the scaling Lee-Yang model lead to the conclusion that the partition function is an entire function of the coupling constant. Exploiting this analytic structure we are able to describe rather precisely the ``experimental'' truncated space data, including even the large behavior, starting only with the CFT information and few first terms of conformal perturbation theory.
Cite
@article{arxiv.hep-th/0109078,
title = {Scaling Lee-Yang Model on a Sphere. I. Partition Function},
author = {Al. Zamolodchikov},
journal= {arXiv preprint arXiv:hep-th/0109078},
year = {2009}
}
Comments
Extended version of a talk presented at the NATO Advanced Research Workshop on Statistical Field Theories, Como 18--23 June 2001