On the decay of correlations inSO(n)-symmetric ferromagnets |
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| Authors: | Oliver A McBryan Thomas Spencer |
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| Institution: | (1) Department of Mathematics, Cornell University, 14853 Ithaca, NY, USA;(2) Department of Mathematics, The Rockefeller University, 10021 New York, NY, USA |
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| Abstract: | 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.Work supported in part by NSF, Grant PHY76-17191A Sloan Fellow |
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