Non-Local Finite-Size Effects in the Dimer Model

被引：28

作者：

Izmailian, Nickolay Sh. ^{[1
,2
,3
]}

Priezzhev, Vyatcheslav B. ^{[4
]}

Ruelle, Philippe ^{[5
]}

机构：

[1] Acad Sinica, Inst Phys, Taipei 11529, Taiwan

[2] Yerevan Phys Inst, Yerevan 375036, Armenia

[3] Natl Taiwan Univ, Natl Ctr Theoret Sci Taipei, Div Phys, Taipei 10617, Taiwan

[4] Joint Inst Nucl Res, Bogolyubov Lab Theoret Phys, Dubna 141980, Russia

[5] Catholic Univ Louvain, Inst Phys Theor, B-1348 Louvain, Belgium

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2007年 / 3卷

关键词：

dimer model; finite-size corrections; conformal field theory;

D O I：

10.3842/SIGMA.2007.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the finite-size corrections of the dimer model on infinity x 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.

引用

页数：12

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