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

doi:10.1016/0920-5632(96)00168-5

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 journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	759-762
Number of pages	4
Journal	Nuclear Physics B - Proceedings Supplements
Volume	47
Issue number	1-3
DOIs	https://doi.org/10.1016/0920-5632(96)00168-5
State	Published - Mar 1996

ASJC Scopus subject areas

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

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Campostrini, M., Cucchieri, A., Mendes, T., Pelissetto, A., Rossi, P., Sokal, A. D., & Vicari, E. (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), 759-762. https://doi.org/10.1016/0920-5632(96)00168-5

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, M.; Cucchieri, A.; Mendes, T. et al.

In: Nuclear Physics B - Proceedings Supplements, Vol. 47, No. 1-3, 03.1996, p. 759-762.

Research output: Contribution to journal › Article › peer-review

Campostrini, M, Cucchieri, A, Mendes, T, Pelissetto, A, Rossi, P, Sokal, AD & Vicari, E 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, vol. 47, no. 1-3, pp. 759-762. https://doi.org/10.1016/0920-5632(96)00168-5

Campostrini M, Cucchieri A, Mendes T, Pelissetto A, Rossi P, Sokal AD et al. 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. 1996 Mar;47(1-3):759-762. doi: 10.1016/0920-5632(96)00168-5

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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 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.",

author = "M. Campostrini and A. Cucchieri and T. Mendes and A. Pelissetto and P. Rossi and Sokal, {A. D.} and E. Vicari",

note = "Funding Information: This work was supported in part by INFN and NSF grant DMS-9200719.",

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AU - Mendes, T.

AU - Pelissetto, A.

AU - Rossi, P.

AU - Sokal, A. D.

AU - Vicari, E.

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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

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