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On the 1/n expansion

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Abstract

The 1/n expansion is considered for then-component non-linear σ-model (classical Heisenberg model) on a lattice of arbitrary dimensions. We show that the expansion for correlation functions and free energy is asymptotic, for all temperatures above the spherical model critical temperature. Furthermore, the existence of a mass gap is established for these temperatures andn sufficiently large.

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Authors and Affiliations

  1. Lyman Laboratory of Physics, Harvard University, 02138, Cambridge, MA, USA

    Antti J. Kupiainen

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  1. Antti J. Kupiainen
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Communicated by A. Jaffe

Supported in part by the National Science Foundation under Grant PHY 79-16812

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Kupiainen, A.J. On the 1/n expansion. Commun.Math. Phys. 73, 273–294 (1980). https://doi.org/10.1007/BF01197703

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  • DOI: https://doi.org/10.1007/BF01197703

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