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