Non-equivalence between Heisenberg XXZ spin chain and Thirring model

被引：0
|
作者：
T. Fujita
T. Kobayashi
M. Hiramoto
H. Takahashi
机构：
[1] Nihon University,Department of Physics, Faculty of Science and Technology
来源：
The European Physical Journal C - Particles and Fields | 2005年 / 39卷
关键词：
Field Theory; Elementary Particle; Quantum Field Theory; Particle Acceleration; Transformation Method;
D O I：
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中图分类号：
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 finite gap. This finite gap spectrum is also confirmed by the Bethe ansatz solution of the massless Thirring model.
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页码：511 / 518
页数：7
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