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Generalization of the Migdal's recursion relation

I. The harmonic rotator model in two dimensions

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Zeitschrift für Physik B Condensed Matter

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, wheren 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.

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Forgács, G., Zawadowski, A. Generalization of the Migdal's recursion relation. Z. Physik B - Condensed Matter 46, 347–357 (1982). https://doi.org/10.1007/BF01307710

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  • DOI: https://doi.org/10.1007/BF01307710

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