Finite size effects in the XXZ and sine-Gordon models with two boundaries

被引:30
作者
Ahn, C
Nepomechie, RI [1 ]
机构
[1] Ewha Womans Univ, Dept Phys, Seoul 120750, South Korea
[2] Univ Miami, Dept Phys, Coral Gables, FL 33124 USA
基金
美国国家科学基金会; 新加坡国家研究基金会;
关键词
D O I
10.1016/j.nuclphysb.2003.11.012
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We compute the boundary energy and the Casimir energy for both the spin-1/2 XXZ quantum spin chain and (by means of the light-cone lattice construction) the massive sine-Gordon model with both left and right boundaries. We also derive a nonlinear integral equation for the ground state of the sine-Gordon model on a finite interval. These results, which are based on a recently-proposed Bethe ansatz solution, are for general values of the bulk coupling constant, and for both diagonal and nondiagonal boundary interactions. However, the boundary parameters are restricted to obey one complex (two real) constraints. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:637 / 658
页数:22
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