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arXiv · 0803.2652

Boundary monomers in the dimer model

Vyatcheslav B. Priezzhev·Philippe Ruelle
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Abstract

The correlation functions of an arbitrary number of boundary monomers in the system of close-packed dimers on the square lattice are computed exactly in the scaling limit. The equivalence of the 2n-point correlation functions with those of a complex free fermion is proved, thereby reinforcing the description of the monomer-dimer model by a conformal free field theory with central charge c=1.

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BibTeXRIS

Vyatcheslav B. Priezzhev, Philippe Ruelle. 2008-03-18. Boundary monomers in the dimer model. https://doi.org/10.1103/physreve.77.061126

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