Perturbative Corrections to the Migdal-Kadanoff Recursion Relations (Physics)

对米格达尔-卡达诺夫递推关系的微扰修正进行了扩展，使其包含了微扰中的二阶项。扩展的理论将用于分析横向磁场中的伊辛模型，作为该方法的测试。希望推广理论能给出改进的临界点预测，以及相关长度、磁化强度、比热、自旋-自旋相关函数等各种关键指标的改进值。然后将检查Zp规范理论的相结构，试图从理论上预测M. Creutz和M. Okawa的蒙特卡罗计算结果，在这种情况下被视为实验数据。

Perturbative corrections to the Migdal-Kadanoff recursion relations are being extended to include second order terms in the perturbation. The extended theory will be used to analyze the Ising Model in a transverse magnetic field as a test of the method. It is hoped that the extended theory will give improved critical point predictions as well as improved values for the various critical indices such as the critical exponents for the correlation length, the magnetization, specific heat, and the spin-spin correlation function. The phase structure of Zp gauge theories will then be examined in an attempt to predict theoretically the results of the Monte-Carlo calculations of M. Creutz and M. Okawa, regarded in this context as experimental data.