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Communications in Mathematical Physics

, Volume 199, Issue 3, pp 493–520 | Cite as

Low Temperature Properties for Correlation Functions in Classical N-Vector Spin Models

  • Tadeusz Balaban
  • Michael O'Carroll

Abstract:

We obtain convergent multi-scale expansions for the one-and two-point correlation functions of the low temperature lattice classical N– vector spin model in d≥ 3 dimensions, N≥ 2. The Gibbs factor is taken as
$$$$
where \(\), \(\), \(\), \(\) are large and 0 < v≤ 1. In the thermodynamic and \(\) limits, with h=e 1, and Δ≡∂∂, the expansion gives \(\) (spontaneous magnetization), \(\), \(\) (Goldstone Bosons), \(\), and \(\), where \(\), \(\) for some ρ > 0, and c 0 is aprecisely determined constant.

Keywords

Correlation Function Temperature Property Spin Model Goldstone Boson Temperature Lattice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Tadeusz Balaban
    • 1
  • Michael O'Carroll
    • 2
  1. 1.Mathematics Department, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USAUS
  2. 2.Departamento de Física do ICEX, Universidade Federal de Minas Gerais, Belo Horizonte, MG, BrasilBR

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