Lattice two-point functions and conformal invariance
Statistical Mechanics
2008-11-26 v1 High Energy Physics - Lattice
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
A new realization of the conformal algebra is studied which mimics the behaviour of a statistical system on a discrete albeit infinite lattice. The two-point function is found from the requirement that it transforms covariantly under this realization. The result is in agreement with explicit lattice calculations of the Ising model and the dimensional spherical model. A hard core is found which is not present in the continuum. For a semi-infinite lattice, profiles are also obtained.
Cite
@article{arxiv.cond-mat/9711265,
title = {Lattice two-point functions and conformal invariance},
author = {Malte Henkel and Dragi Karevski},
journal= {arXiv preprint arXiv:cond-mat/9711265},
year = {2008}
}
Comments
5 pages, plain Tex with IOP macros, no figures