Higher order and boundary scaling fields in the Abelian sandpile model

DOI10.1088/1751-8113/40/37/006zbMATH Open1131.82013arXivcond-mat/0612224OpenAlexW2011310062MaRDI QIDQ5310036

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Publication date: 5 October 2007

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Abstract: The Abelian Sandpile Model (ASM) is a paradigm of self-organized criticality (SOC) which is related to $c=-2$ conformal field theory. The conformal fields corresponding to some height clusters have been suggested before. Here we derive the first corrections to such fields, in a field theoretical approach, when the lattice parameter is non-vanishing and consider them in the presence of a boundary.

Full work available at URL: https://arxiv.org/abs/cond-mat/0612224

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