Translation Invariant Gibbs States for the Ising Model
نویسنده
چکیده
We prove that all the translation invariant Gibbs states of the Ising model are a linear combination of the pure phases μ+β , μ − β for any β 6= βc. This implies that the average magnetization is continuous for β > βc. Furthermore, combined with previous results on the slab percolation threshold [B2] this shows the validity of Pisztora’s coarse graining [Pi] up to the critical temperature.
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