On the decay of correlations inSO(n)-symmetric ferromagnets
- Cite this article as:
- McBryan, O.A. & Spencer, T. Commun.Math. Phys. (1977) 53: 299. doi:10.1007/BF01609854
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We prove that for low temperaturesT the spin-spin correlation function of the two-dimensional classicalSO(n)-symmetric Ising ferromagnet decays faster than |x|−constT providedn≧2. We also discuss a nearest neighbor continuous spin model, with spins restricted to a finite interval, where we show that the spin-spin correlation function decays exponentially in any number of dimensions.