Abstract.
We prove that for a class of massless ∇φ interface models on ℤ2, introduction of an arbitrarily small pinning self-potential leads to exponential decay of correlation, or, in other words, to creation of mass.
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Received: 23 November 1998 / Revised version: 14 June 1999
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Ioffe, D., Velenik, Y. A note on the decay of correlations under δ-pinning. Probab Theory Relat Fields 116, 379–389 (2000). https://doi.org/10.1007/s004400050254
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DOI: https://doi.org/10.1007/s004400050254
Keywords
- Exponential Decay
- Interface Model