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Different facets of the raise and peel model

Francisco C. Alcaraz·Vladimir Rittenberg
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Abstract

The raise and peel model is a one-dimensional stochastic model of a fluctuating interface with nonlocal interactions. This is an interesting physical model. It's phase diagram has a massive phase and a gapless phase with varying critical exponents. At the phase transition point, the model exhibits conformal invariance which is a space-time symmetry. Also at this point the model has several other facets which are the connections to associative algebras, two-dimensional fully packed loop models and combinatorics.

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Francisco C. Alcaraz, Vladimir Rittenberg. 2007-06-14. Different facets of the raise and peel model. https://doi.org/10.1088/1742-5468%2F2007%2F07%2Fp07009

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