Non-equivalence between Heisenberg XXZ spin chain and Thirring model

被引：3
|
作者：
Fujita, T [1 ]
Kobayashi, T [1 ]
Hiramoto, M [1 ]
Takahashi, H [1 ]
机构：
[1] Nihon Univ, Fac Sci & Technol, Dept Phys, Tokyo, Japan
来源：
EUROPEAN PHYSICAL JOURNAL C | 2005年 / 39卷 / 04期
关键词：
D O I：
10.1140/epjc/s2004-02093-x
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：
The Bethe ansatz equations for the spin 1/2 Heisenberg XXZ spin chain are numerically solved, and the energy eigenvalues are determined for the antiferromagnetic case. We examine the relation between the XXZ spin chain and the massless Thirring model, and show that the spectrum of the XXZ spin chain has a gapless excitation while the regularized Thirring model calculated with the Bogoliubov transformation method has a. nite gap. This. nite gap spectrum is also confirmed by the Bethe ansatz solution of the massless Thirring model.
引用
收藏
页码：511 / 518
页数：8
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