论文标题
跨维：二维和三维相变于链条的迭代重归于链理论
Across Dimensions: Two- and Three-Dimensional Phase Transitions from the Iterative Renormalization-Group Theory of Chains
论文作者
论文摘要
尖锐的二维相和三维过渡磁化曲线是通过迭代链的迭代重新归一化组耦合获得的，这些链的链条得到了精确求解。这些链本身没有相变或非零磁化，但是该方法反映了从温度样到野外重新归化组流量的交叉，作为高维相变的机制。每个链的磁化通过相互作用常数作为其相邻链上的磁场作用，从而进入其重新归一化组的计算。该方法对于广泛的应用非常灵活。
Sharp two- and three-dimensional phase transitional magnetization curves are obtained by an iterative renormalization-group coupling of Ising chains, which are solved exactly. The chains by themselves do not have a phase transition or non-zero magnetization, but the method reflects crossover from temperature-like to field-like renormalization-group flows as the mechanism for the higher-dimensional phase transitions. The magnetization of each chain acts, via the interaction constant, as a magnetic field on its neighboring chains, thus entering its renormalization-group calculation. The method is highly flexible for wide application.
