A systematical improvement of the migdal recursion formula

G. Martinelli; G. Parisi

doi:10.1016/0550-3213(81)90415-6

A systematical improvement of the migdal recursion formula

G. Martinelli^*
, G. Parisi

^*Corresponding author for this work

CERN
National Institute for Nuclear Physics

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

41 Scopus citations

Abstract

We construct a new perturbative expansion whose zeroth-order approximation gives the Migdal-Kadanoff recursion equations. By this expansion it is therefore possible to improve systematically the Migdal-Kadanoff results. The first-order corrections are computed for the Ising and bond percolation models. The second-order corrections are computed only for the two-dimensional Ising model. Our method can be easily extended to other systems like the non-linear σ model or gauge theories.

Original language	English
Pages (from-to)	201-220
Number of pages	20
Journal	Nuclear Physics B
Volume	180
Issue number	2
DOIs	https://doi.org/10.1016/0550-3213(81)90415-6
State	Published - 30 Mar 1981
Externally published	Yes

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10.1016/0550-3213(81)90415-6

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title = "A systematical improvement of the migdal recursion formula",

abstract = "We construct a new perturbative expansion whose zeroth-order approximation gives the Migdal-Kadanoff recursion equations. By this expansion it is therefore possible to improve systematically the Migdal-Kadanoff results. The first-order corrections are computed for the Ising and bond percolation models. The second-order corrections are computed only for the two-dimensional Ising model. Our method can be easily extended to other systems like the non-linear σ model or gauge theories.",

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AU - Parisi, G.

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N2 - We construct a new perturbative expansion whose zeroth-order approximation gives the Migdal-Kadanoff recursion equations. By this expansion it is therefore possible to improve systematically the Migdal-Kadanoff results. The first-order corrections are computed for the Ising and bond percolation models. The second-order corrections are computed only for the two-dimensional Ising model. Our method can be easily extended to other systems like the non-linear σ model or gauge theories.

AB - We construct a new perturbative expansion whose zeroth-order approximation gives the Migdal-Kadanoff recursion equations. By this expansion it is therefore possible to improve systematically the Migdal-Kadanoff results. The first-order corrections are computed for the Ising and bond percolation models. The second-order corrections are computed only for the two-dimensional Ising model. Our method can be easily extended to other systems like the non-linear σ model or gauge theories.

UR - https://www.scopus.com/pages/publications/0043046969

U2 - 10.1016/0550-3213(81)90415-6

DO - 10.1016/0550-3213(81)90415-6

M3 - 文章

AN - SCOPUS:0043046969

SN - 0550-3213

VL - 180

SP - 201

EP - 220

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 2

ER -

A systematical improvement of the migdal recursion formula

Abstract

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