标题： 四维伊辛模型的高阶张量重正化群相变 显示英文标题

标题： Phase transition of four-dimensional Ising model with higher-order tensor renormalization group

摘要： 我们应用高阶张量重正化群（HOTRG）方法研究四维铁磁伊辛模型，该模型在标量 $\phi^4_{d=4}$ 理论平凡性的问题中引起了广泛关注。 我们通过 HOTRG 方法扩大晶格尺寸至 $1024^4$，利用并行计算研究了该模型的相变行为。 内部能量和磁化强度的结果表明，此模型发生的是弱一阶相变。 显示英文摘要

摘要： We apply the higher-order tensor renormalization group (HOTRG) to the four-dimensional ferromagnetic Ising model, which has been attracting interests in the context of the triviality of the scalar $\phi^4_{d=4}$ theory. We investigate the phase transition of this model with HOTRG enlarging the lattice size up to $1024^4$ with parallel computation. The results for the internal energy and the magnetization are consistent with the weak first-order phase transition.