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 $(1+1)D$ Ising model and the $d-$dimensional spherical
model. A hard core is found which is not present in the continuum. For a
semi-infinite lattice, profiles are also obtained.
Publié le : 1997-11-25
Classification:
Condensed Matter - Statistical Mechanics,
High Energy Physics - Lattice,
High Energy Physics - Theory,
Mathematical Physics
@article{9711265,
author = {Henkel, Malte and Karevski, Dragi},
title = {Lattice two-point functions and conformal invariance},
journal = {arXiv},
volume = {1997},
number = {0},
year = {1997},
language = {en},
url = {http://dml.mathdoc.fr/item/9711265}
}
Henkel, Malte; Karevski, Dragi. Lattice two-point functions and conformal invariance. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9711265/