Non-Local Finite-Size Effects in the Dimer Model

Non-Local Finite-Size Effects in the Dimer Model

We study the finite-size corrections of the dimer model on ∞ × N square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections depend in a crucial way on the parity of N, and show that, because of certain non-local features present in the model, a...

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Bibliographic Details
Main Authors: Nickolay Sh. Izmailian, Vyatcheslav B. Priezzhev, Philippe Ruelle
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-01-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
dimer model
finite-size corrections
conformal field theory
Online Access:http://www.emis.de/journals/SIGMA/2007/001/
Description
Summary:We study the finite-size corrections of the dimer model on ∞ × N square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections depend in a crucial way on the parity of N, and show that, because of certain non-local features present in the model, a change of parity of N induces a change of boundary condition. Taking a careful account of this, these unusual finite-size behaviours can be fully explained in the framework of the c = -2 logarithmic conformal field theory.
ISSN:1815-0659

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