摘要翻译:
研究了具有任意长度的复杂弦状快速构型的各向同性S=1/2海森堡链的Bethe方程的解。本文超越了传统的非变形弦的弦假设,描述了构造包含一般形变弦的本征态的一般过程,讨论了这些解的一般特征,并给出了包括所有短链波函数的完整解在内的一些显式例子。最后,我们研究了一些奇异情况,并从简单的对称性论证表明它们对零温关联函数的贡献消失了。
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英文标题:
《Deformed strings in the Heisenberg model》
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作者:
R. Hagemans and J.-S. Caux
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Strongly Correlated Electrons 强关联电子
分类描述:Quantum magnetism, non-Fermi liquids, spin liquids, quantum criticality, charge density waves, metal-insulator transitions
量子磁学,非费米液体,自旋液体,量子临界性,电荷密度波,金属-绝缘体跃迁
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Physics 物理学
二级分类:High Energy Physics - Theory 高能物理-理论
分类描述:Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论,超对称性和超引力。
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英文摘要:
We investigate solutions to the Bethe equations for the isotropic S = 1/2 Heisenberg chain involving complex, string-like rapidity configurations of arbitrary length. Going beyond the traditional string hypothesis of undeformed strings, we describe a general procedure to construct eigenstates including strings with generic deformations, discuss general features of these solutions, and provide a number of explicit examples including complete solutions for all wavefunctions of short chains. We finally investigate some singular cases and show from simple symmetry arguments that their contribution to zero-temperature correlation functions vanishes.
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PDF链接:
https://arxiv.org/pdf/707.2803


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