A (2|1) spectral equivalences and nonlocal integrals of motion
A (2|1) spectral equivalences and nonlocal integrals of motion
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A (2|1) 谱等价和运动的非局部积分
DOI：
10.1088/1751-8113/46/19/195204
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Assis P
中科院分区：
文献类型：
--
作者：
Assis P
研究了一类特殊的薛定谔方程与超对称量子可积模型之间的谱对应。后者是Ablowitz-Kaupp-Newell-Segur非线性方程组的量子化版本，对应于Perk-Schultz晶格模型的热力学极限。通过分析复平面上常微分方程的对称性，可以在精确的谱对应下，以精确的形式得到量子可积模型中的重要对象。在本文中，我们的主要兴趣在于与可积系统相关联的非局部守恒运动积分的集合，我们提供了一个系统的方法来计算它们的值评估的真空状态的量子场论。
We study the spectral correspondence between a particular class of Schrödinger equations and a supersymmetric quantum integrable model. The latter, a quantized version of the Ablowitz–Kaupp–Newell–Segur hierarchy of nonlinear equations, corresponds to the thermodynamic limit of the Perk–Schultz lattice model. By analyzing the symmetries of the ordinary differential equation in the complex plane, it is possible to obtain important objects in the quantum integrable model in an exact form, under an exact spectral correspondence. In this paper, our main interest lies on the set of nonlocal conserved integrals of motion associated with the integrable system and we provide a systematic method to compute their values evaluated on the vacuum state of the quantum field theory.