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Higher Order and boundary Scaling Fields in the Abelian Sandpile Model

S. Moghimi-Araghi·A. Nejati
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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.

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S. Moghimi-Araghi, A. Nejati. 2007-02-19. Higher Order and boundary Scaling Fields in the Abelian Sandpile Model. https://doi.org/10.1088/1751-8113%2F40%2F37%2F006

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