Loop expansion around the Bethe-Peierls approximation for lattice models

Details Loop expansion around the Bethe-Peierls approximation for lattice models Loop expansion around the Bethe-Peierls approximation for lattice models

2005-12-21

arxiv.org/abs/cond-mat/0512529v1

J.Stat.Mech.0602:L02003,2006

Physics

Condensed Matter

Statistical Mechanics

8 pages

Scientific paper

10.1088/1742-5468/2006/02/L02003

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.

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