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摘要翻译：
我们考虑了具有近邻相互作用的一维横向Ising模型，精确地计算了一类激发态的纵向自旋-自旋关联。这些态在一维横向伊辛模型的扰动处理中起着重要的作用。对于关联的计算，我们遵循了Wu先前的步骤，使用Szego定理和Fisher-Hartwig猜想。结果表明，相关随距离($n$)的代数衰减为$1/\surdn$，并且根据横向场的大小，相关是振荡的或非振荡的。
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英文标题：
《Spin-spin Correlation in Some Excited States of Transverse Ising Model》
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作者：
Anjan Kumar Chandra, Subinay Dasgupta
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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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英文摘要：
We consider the transverse Ising model in one dimension with nearest-neighbour interaction and calculate exactly the longitudinal spin-spin correlation for a class of excited states. These states are known to play an important role in the perturbative treatment of one-dimensional transverse Ising model with frustrated second-neighbour interaction. To calculate the correlation, we follow the earlier procedure of Wu, use Szego's theorem and also use Fisher-Hartwig conjecture. The result is that the correlation decays algebraically with distance ($n$) as $1/\surd n$ and is oscillatory or non-oscillatory depending on the magnitude of the transverse field.
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PDF链接：
https://arxiv.org/pdf/704.1718
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