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Boundary monomers in the dimer model
Vyatcheslav B Priezzhev1, Philippe Ruelle
1Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia.
Abstract:
The correlation functions of an arbitrary number of boundary monomers in a system of close-packed dimers on a 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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