Higher Order and boundary Scaling Fields in the Abelian Sandpile Model

S. Moghimi-Araghi, A. Nejati

Published 2006-12-09, updated 2007-02-19Version 2

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.