Logarithmic Conformal Field Theory and Boundary Effects in the Dimer Model

TL;DR

This paper investigates how boundary conditions and lattice size parity affect the finite-size corrections in the dimer model, explaining the phenomena using logarithmic conformal field theory with central charge c=-2.

Contribution

It reveals the parity-dependent finite-size effects in the dimer model and provides a theoretical explanation within the framework of logarithmic conformal field theory.

Findings

Finite-size corrections depend on the parity of N.

Boundary conditions influence the correction behavior.

Logarithmic CFT with c=-2 explains the observed effects.

Abstract

We study the finite-size corrections of the dimer model on $\infty \times N$ square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections in a crucial way depend on the parity of $N$; we also show that such unusual finite-size behavior can be fully explained in the framework of the $c=-2$ logarithmic conformal field theory.