Boundary monomers in the dimer model
Vyatcheslav B. Priezzhev, Philippe Ruelle
TL;DR
This paper computes exact boundary monomer correlation functions in the dimer model, demonstrating their equivalence to free fermion correlations and supporting a conformal field theory description with central charge c=1.
Contribution
It provides an exact computation of boundary monomer correlations and establishes their equivalence to free fermion correlations in the scaling limit.
Findings
Correlation functions match those of a complex free fermion
Supports conformal free field theory with c=1 for the dimer model
Exact results reinforce theoretical descriptions of boundary effects
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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