Series expansions without diagrams
High Energy Physics - Lattice
2009-10-22 v1
Abstract
We discuss the use of recursive enumeration schemes to obtain low and high temperature series expansions for discrete statistical systems. Using linear combinations of generalized helical lattices, the method is competitive with diagramatic approaches and is easily generalizable. We illustrate the approach using the Ising model and generate low temperature series in up to five dimensions and high temperature series in three dimensions. The method is general and can be applied to any discrete model. We describe how it would work for Potts models.
Keywords
Cite
@article{arxiv.hep-lat/9303002,
title = {Series expansions without diagrams},
author = {Gyan Bhanot and Michael Creutz and Ivan Horvath Jan Lacki and John Weckel},
journal= {arXiv preprint arXiv:hep-lat/9303002},
year = {2009}
}
Comments
24 pages, IASSNS-HEP-93/11