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Article Dans Une Revue Communications in Mathematical Physics Année : 2007

Dobrushin Interfaces via Reflection Positivity

Résumé

We study the interfaces separating different phases of 3D systems by means of the Reflection Positivity method. We treat discrete non-linear sigma-models, which exhibit power-law decay of correlations at low temperatures, and we prove the rigidity property of the interface. Our method is applicable to the Ising and Potts models, where it simplifies the derivation of some known results. The method also works for large-entropy systems of continuous spins.

Dates et versions

hal-00176075 , version 1 (02-10-2007)

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Senya Shlosman, Yvon Vignaud. Dobrushin Interfaces via Reflection Positivity. Communications in Mathematical Physics, 2007, 276, pp.827-861. ⟨hal-00176075⟩
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