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2022-03-06
摘要翻译:
通过考虑自旋1/2Heisenberg链在t=0处的单粒子和双粒子散射数据,我们导出了自旋链与一维玻色气体之间的连续极限。将这个极限应用于海森堡链的量子转移矩阵方法,我们得到了任意温度下玻色气体关联函数的表达式。
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英文标题:
《A note on the spin-1/2 XXZ chain concerning its relation to the Bose gas》
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作者:
Alexander Seel, Tanaya Bhattacharyya, Frank G\"ohmann, Andreas
  Kl\"umper
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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: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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一级分类:Physics        物理学
二级分类:Mathematical Physics        数学物理
分类描述:Articles in this category focus on areas of research that illustrate the application of mathematics to problems in physics, develop mathematical methods for such applications, or provide mathematically rigorous formulations of existing physical theories. Submissions to math-ph should be of interest to both physically oriented mathematicians and mathematically oriented physicists; submissions which are primarily of interest to theoretical physicists or to mathematicians should probably be directed to the respective physics/math categories
这一类别的文章集中在说明数学在物理问题中的应用的研究领域,为这类应用开发数学方法,或提供现有物理理论的数学严格公式。提交的数学-PH应该对物理方向的数学家和数学方向的物理学家都感兴趣;主要对理论物理学家或数学家感兴趣的投稿可能应该指向各自的物理/数学类别
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一级分类:Mathematics        数学
二级分类:Mathematical Physics        数学物理
分类描述:math.MP is an alias for math-ph. Articles in this category focus on areas of research that illustrate the application of mathematics to problems in physics, develop mathematical methods for such applications, or provide mathematically rigorous formulations of existing physical theories. Submissions to math-ph should be of interest to both physically oriented mathematicians and mathematically oriented physicists; submissions which are primarily of interest to theoretical physicists or to mathematicians should probably be directed to the respective physics/math categories
math.mp是math-ph的别名。这一类别的文章集中在说明数学在物理问题中的应用的研究领域,为这类应用开发数学方法,或提供现有物理理论的数学严格公式。提交的数学-PH应该对物理方向的数学家和数学方向的物理学家都感兴趣;主要对理论物理学家或数学家感兴趣的投稿可能应该指向各自的物理/数学类别
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英文摘要:
  By considering the one-particle and two-particle scattering data of the spin-1/2 Heisenberg chain at T=0 we derive a continuum limit relating the spin chain to the 1D Bose gas. Applying this limit to the quantum transfer matrix approach of the Heisenberg chain we obtain expressions for the correlation functions of the Bose gas at arbitrary temperatures.
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PDF链接:
https://arxiv.org/pdf/705.3569
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