A Note on the Decay of Correlations Under $δ$-Pinning

Details A Note on the Decay of Correlations Under $δ$-Pinning A Note on the Decay of Correlations Under $δ$-Pinning

1998-07-24

arxiv.org/abs/math/9807135v1

Probab. Theory Related Fields, Vol. 116, Nr. 3 (2000) , p. 379--389

Mathematics

Probability

9 pages

Scientific paper

10.1007/s004400050254

We prove that for a class of massless $\nabla\phi$ interface models on
$\Ztwo$ an introduction of an arbitrary small pinning self-potential leads to
exponential decay of correlation, or, in other words, to creation of mass.

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