用Kac-Ward算符计算伊辛模型中的无相变区
Phase transition free regions in the Ising model via the Kac-Ward operator
摘要：
研究了一般平面图上伊辛模型的Kac-Ward转移矩阵的谱半径和算子范数.然后，我们使用所获得的结果，以确定在复杂的平面中的自由能量密度限制的逆温度的解析函数的区域。在等径图的情况下，该界是最优的，即它产生自对偶Z-不变耦合常数的临界性。
英文摘要：
We investigate the spectral radius and operator norm of the Kac-Ward transition matrix for the Ising model on a general planar graph. We then use the obtained results to identify regions in the complex plane where the free energy density limits are analytic functions of the inverse temperature. The bound turns out to be optimal in the case of isoradial graphs, i.e. it yields criticality of the self-dual Z-invariant coupling constants.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
