### Abstract

A systematic approximative scheme for the solution of the Migdal's recursion formula for continuous spin systems is worked out. The new method avoids a number of problems present in the original solution given by Migdal. The critical behaviour of the two dimensional harmonic rotator model (n=2, where n is the number of spin components) is calculated as an illustration of the method. Finally, a model for which the approximative scheme becomes exact is discussed.

Original language | English |
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Pages (from-to) | 347-357 |

Number of pages | 11 |

Journal | Zeitschrift für Physik B Condensed Matter |

Volume | 46 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1982 |

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### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

**Generalization of the Migdal's recursion relation - I. The harmonic rotator model in two dimensions.** / Forgács, G.; Zawadowski, A.

Research output: Contribution to journal › Article

*Zeitschrift für Physik B Condensed Matter*, vol. 46, no. 4, pp. 347-357. https://doi.org/10.1007/BF01307710

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TY - JOUR

T1 - Generalization of the Migdal's recursion relation - I. The harmonic rotator model in two dimensions

AU - Forgács, G.

AU - Zawadowski, A.

PY - 1982

Y1 - 1982

N2 - A systematic approximative scheme for the solution of the Migdal's recursion formula for continuous spin systems is worked out. The new method avoids a number of problems present in the original solution given by Migdal. The critical behaviour of the two dimensional harmonic rotator model (n=2, where n is the number of spin components) is calculated as an illustration of the method. Finally, a model for which the approximative scheme becomes exact is discussed.

AB - A systematic approximative scheme for the solution of the Migdal's recursion formula for continuous spin systems is worked out. The new method avoids a number of problems present in the original solution given by Migdal. The critical behaviour of the two dimensional harmonic rotator model (n=2, where n is the number of spin components) is calculated as an illustration of the method. Finally, a model for which the approximative scheme becomes exact is discussed.

UR - http://www.scopus.com/inward/record.url?scp=34250224528&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250224528&partnerID=8YFLogxK

U2 - 10.1007/BF01307710

DO - 10.1007/BF01307710

M3 - Article

AN - SCOPUS:34250224528

VL - 46

SP - 347

EP - 357

JO - Zeitschrift für Physik B Condensed Matter and Quanta

JF - Zeitschrift für Physik B Condensed Matter and Quanta

SN - 1434-6028

IS - 4

ER -