Loop expansion around the Bethe-Peierls approximation for lattice models

Giorgio Parisi; František Slanina

doi:10.1088/1742-5468/2006/02/L02003

Loop expansion around the Bethe-Peierls approximation for lattice models

Giorgio Parisi^*
, František Slanina

^*Corresponding author for this work

University of Rome La Sapienza
Czech Academy of Sciences
Center for Theoretical Study

Research output: Contribution to journal › Article › peer-review

44 Scopus citations

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.

Original language	English
Article number	L02003
Journal	Journal of Statistical Mechanics: Theory and Experiment
Issue number	2
DOIs	https://doi.org/10.1088/1742-5468/2006/02/L02003
State	Published - 1 Feb 2006
Externally published	Yes

Keywords

Classical phase transitions (theory)

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10.1088/1742-5468/2006/02/L02003

Cite this

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title = "Loop expansion around the Bethe-Peierls approximation for lattice models",

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.",

keywords = "Classical phase transitions (theory)",

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AU - Slanina, František

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N2 - 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.

AB - 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.

KW - Classical phase transitions (theory)

UR - https://www.scopus.com/pages/publications/84856375026

U2 - 10.1088/1742-5468/2006/02/L02003

DO - 10.1088/1742-5468/2006/02/L02003

M3 - 文章

AN - SCOPUS:84856375026

SN - 1742-5468

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

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ER -

Loop expansion around the Bethe-Peierls approximation for lattice models

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Keywords

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