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Mean-field expansion for spin models with medium-range interactions

Pelissetto, A. and Rossi, P. and Vicari, E. (1999) Mean-field expansion for spin models with medium-range interactions. Nuclear Physics B, 554 (3). pp. 552-606. ISSN 1873-1562

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We study the critical crossover between the Gaussian and the Wilson-Fisher fixed point for general O(N)-invariant spin models with medium-range interactions. We perform a systematic expansion around the mean-field solution, obtaining the universal crossover curves and their leading corrections. In particular we show that, in three dimensions, the leading correction scales as $R^{-3}, R$ being the range of the interactions. We compare our results with the existing numerical ones obtained by Monte Carlo simulations and present a critical discussion of other approaches.

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Divisions: Dipartimenti (from 2013) > DIPARTIMENTO DI FISICA
Depositing User: dott.ssa Sandra Faita
Date Deposited: 14 Feb 2014 12:56
Last Modified: 14 Feb 2014 12:56
URI: http://eprints.adm.unipi.it/id/eprint/1740

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