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- (en) We consider the isotropic two-dimensional abelian sandpile model from a perspective based on two-dimensional (conformal) field theory. We compute lattice correlation functions for various cluster variables (at and off criticality), from which we infer the field-theoretic description in the scaling limit. We find a perfect agreement with the predictions of a c=-2 conformal field theory and its massive perturbation, thereby providing direct evidence for conformal invariance and more generally for a description in terms of a local field theory. The question of the height 2 variable is also addressed, with however no definite conclusion yet. Comment: 22 pages, 1 figure (eps), uses revtex
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Scaling fields in the two-dimensional Abelian sandpile model. (n.d.). https://hdl.handle.net/2078.5/256689