Abstract
We present rigorous results for continuous effective interface models in 2+1 dimensions.
1) We prove the non-existence of gradient Gibbs-measures in the infinite volume
(that would describe an infinite volume distribution of the increments of the interface)
2) We prove that there is no pinned interface even when one is adding
an arbitrarily strong pinning force at height zero
3) We give finite volume lower bounds on the fluctuations
(with A.C.D. van Enter, E. Orlandi)
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