Low Temperature Properties for Correlation Functions in Classical N-Vector Spin Models
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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.
KeywordsCorrelation Function Temperature Property Spin Model Goldstone Boson Temperature Lattice
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© Springer-Verlag Berlin Heidelberg 1999