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Generalization of the Migdal's recursion relation
Authors:G. Forgács  A. Zawadowski
Affiliation:1. Solid State Theory Department, Central Research Institute for Physics, P.O.Box 49, H-1525, Budapest, Hungary
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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