Scaling fields in the two-dimensional abelian sandpile model

Details Scaling fields in the two-dimensional abelian sandpile model Scaling fields in the two-dimensional abelian sandpile model

2001-07-18

arxiv.org/abs/hep-th/0107150v1

Phys.Rev. E64 (2001) 066130

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 1 figure (eps), uses revtex

Scientific paper

10.1103/PhysRevE.64.066130

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.

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