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Application of the $O(N)$-Hyperspherical Harmonics to the Study of the Continuum Limits of One-Dimensional $σ$-Models and to the Generation of High-Temperature Expansions in Higher Dimensions

Campostrini, Massimo and Cucchieri, Attilio and Mendes, Tereza and Pelissetto, Andrea and Rossi, Paolo and Sokal, Alan D. and Vicari, Ettore (1996) Application of the $O(N)$-Hyperspherical Harmonics to the Study of the Continuum Limits of One-Dimensional $σ$-Models and to the Generation of High-Temperature Expansions in Higher Dimensions. Nuclear Physics B - Proceedings Supplements, 47 (1-3). pp. 759-732. ISSN 1873-3832

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Abstract

In this talk we present the exact solution of the most general one-dimensional $O(N)$-invariant spin model taking values in the sphere $S^{N-1}$, with nearest-neighbour interactions, and we discuss the possible continuum limits. All these results are obtained using a high-temperature expansion in terms of hyperspherical harmonics. Applications in higher dimensions of the same technique are then discussed.

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: 11 Feb 2014 14:40
Last Modified: 11 Feb 2014 14:40
URI: http://eprints.adm.unipi.it/id/eprint/1909

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