Fluctuations and energy shifts in the Bethe ansatz

Fluctuations and energy shifts in the Bethe ansatz
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Bethe ansatz 的波动和能量转移

DOI:
10.1016/j.physletb.2005.07.015
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发表时间:
2005
期刊:
影响因子:
4.4
通讯作者:
L. Freyhult
L. Freyhult
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
N. Beisert;L. Freyhult

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研究了半经典自旋弦的AdS/CFT对偶Heisenberg XXX 1/2自旋链在Bethe近似下的铁磁热力学极限的涨落和有限尺寸修正.对于这个系统,我们推导出标准量子力学公式,该公式将能量位移表示为波动能量之和。作为一个例子,我们将我们的结果应用到这个系统的最简单的,一次切割的解决方案,并推导出其波动谱。
We study fluctuations and finite size corrections for the ferromagnetic thermodynamic limit in the Bethe ansatz for the Heisenberg XXX1/2spin chain, which is the AdS/CFT dual of semiclassical spinning strings. For this system we derive the standard quantum mechanical formula which expresses the energy shift as a sum over fluctuation energies. As an example we apply our results to the simplest, one-cut solution of this system and derive its spectrum of fluctuations.