Dobrushin interfaces via reflection positivity

Senya Shlosman, Yvon Vignaud

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)827-861
Number of pages35
JournalCommunications in Mathematical Physics
Issue number3
Publication statusPublished - Dec 2007
Externally publishedYes


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