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

M. Campostrini, A. Cucchieri, T. Mendes, A. Pelissetto, P. Rossi, A. D. Sokal, E. Vicari

    Research output: Contribution to journalArticle

    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 SN-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.

    Original languageEnglish (US)
    Pages (from-to)759-762
    Number of pages4
    JournalNuclear Physics B - Proceedings Supplements
    Volume47
    Issue number1-3
    DOIs
    StatePublished - Mar 1996

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics
    • Nuclear and High Energy Physics

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