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 magnetization and correlation function.

Loop expansion around the Bethe-Peierls approximation for lattice models

Parisi G;
2006

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 magnetization and correlation function.
2006
INFM
SPIN-GLASSES
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/156714
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