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• W3106019715 endingPage "P07025" @default.
• W3106019715 startingPage "P07025" @default.
• W3106019715 abstract "We present the detailed calculations of the asymptotics of two-site correlation functions for height variables in the two-dimensional Abelian sandpile model. By using combinatorial methods for the enumeration of spanning trees, we extend the well-known result for the correlation $sigma_{1,1} simeq 1/r^4$ of minimal heights $h_1=h_2=1$ to $sigma_{1,h} = P_{1,h}-P_1P_h$ for height values $h=2,3,4$. These results confirm the dominant logarithmic behaviour $sigma_{1,h} simeq (c_hlog r + d_h)/r^4 + {cal O}(r^{-5})$ for large $r$, predicted by logarithmic conformal field theory based on field identifications obtained previously. We obtain, from our lattice calculations, the explicit values for the coefficients $c_h$ and $d_h$ (the latter are new)." @default.
• W3106019715 created "2020-11-23" @default.
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• W3106019715 date "2010-07-30" @default.
• W3106019715 modified "2023-09-26" @default.
• W3106019715 title "Logarithmic two-point correlators in the Abelian sandpile model" @default.
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• W3106019715 doi "https://doi.org/10.1088/1742-5468/2010/07/p07025" @default.
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