The order/disorder quantum field operators associated with the two-dimensional Ising model in the continuum limit
The order/disorder quantum field operators associated with the two-dimensional Ising model in the continuum limit
复制标题
连续统极限下二维伊辛模型的有序/无序量子场算符
DOI：
10.1016/0550-3213(78)90499-6
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发表时间：
1978
期刊：
影响因子：
--
通讯作者：
T. T. Truong
中科院分区：
文献类型：
--
作者：
B. Schroer;T. T. Truong
我们表明，有质量自由狄拉克场轴向势的sin/cos函数恰当地描述了连续极限下两个独立叠加伊辛系统的（T>Tcorder）/无序变量的关联函数.著名的Kramers-Wannier变换在本说明书中有一个简单的实现。它还表明，平方关系的相关函数之间的双重和单一版本的伊辛模型的水平起源于狄拉克和马约拉纳旋量场在二维时空中的操作员之间的关系。最后，将这些局域场算符的Wightman函数与由麦考伊，Tracy和Wu得到的统计相关函数联系起来。使用的双重版本的伊辛模型的基础上的狄拉克场允许一个简单的描述的规模不变的限制，因此桥梁之间的差距差距严格的工作，以及Kadanoff和Ceva的路德和Peschel。
We show that the sin/cos functions of the axial potential of the free massive Dirac field appropriately describe the correlation functions of the (T>Tcorder/disorder variable of two independent superimposed Ising systems taken in the continuum limit. The well known Kramers-Wannier transformation has a simple implementation in this description. It is also demonstrated that the square relationship at the level of correlation functions between the doubled and the single versions of the Ising model originates from an operator relationship between Dirac and Majorana spinor fields in two-dimensional space-time. Finally a connection is made between the Wightman functions of these local field operators and the statistical correlation functions obtained by McCoy, Tracy and Wu. The use of the doubled version of the Ising model based on the Dirac field allows a simple description of the scale invariant limit and therefore bridges the gap between the rigorous work and that of Kadanoff and Ceva as well as that of Luther and Peschel.