Loop expansion around the Bethe-Peierls approximation for lattice models
Statistical Mechanics
2011-02-16 v1
Abstract
We develop an effective field theory for lattice models, in which the only non-vanishing diagrams exactly reproduce the topology of the lattice. The Bethe-Peierls approximation appears naturally as the saddle point approximation. The corrections to the saddle-point result can be obtained systematically. We calculate the lowest loop corrections for magnetisation and correlation function.
Keywords
Cite
@article{arxiv.cond-mat/0512529,
title = {Loop expansion around the Bethe-Peierls approximation for lattice models},
author = {Giorgio Parisi and Frantisek Slanina},
journal= {arXiv preprint arXiv:cond-mat/0512529},
year = {2011}
}
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8 pages