Quantum KZ equation with |q| = 1 and correlation functions of the XXZ model in the gapless regime

Quantum KZ equation with |q| = 1 and correlation functions of the XXZ model in the gapless regime
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DOI:
10.1088/0305-4470/29/12/005
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发表时间:
1996-01
期刊:
Journal of Physics A
影响因子:
--
通讯作者:
M. Jimbo;T. Miwa
M. Jimbo;T. Miwa
中科院分区:
其他
文献类型:
--
作者:
M. Jimbo;T. Miwa

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量子Knizhnik-Zamolodchikov(qKZ)方程的积分解|Q| = 1表示。在特殊化的基础上,导出了XXZ模型在无间隙区的关联函数的解析公式。这一猜想的有效性在特殊情况下得到了验证,包括具有任意耦合常数的最近邻相关器和XXX和XY极限下的一般相关器。
An integral solution to the quantum Knizhnik - Zamolodchikov (qKZ) equation with |q|=1 is presented. Upon specialization, it leads to a conjectural formula for correlation functions of the XXZ model in the gapless regime. The validity of this conjecture is verified in special cases, including the nearest-neighbour correlator with an arbitrary coupling constant and general correlators in the XXX and XY limits.