应用实空间重整化群和累积展开的方法,研究了外场中特殊钻石型等级晶格上S~4模型的相变和临界性质,求出了系统的临界点和临界指数.结果表明,此系统除了存在一个Gauss不动点外,还存在一个Wilson-Fisher不动点,与该等级晶格上的Gauss模型相比较,系统的临界指数发生了变化. By using real space renormalization group and cumulative expansion method, the phase transitions and critical properties of the S ~ 4 model on special diamond-like hierarchical lattices in the outfield are studied and the critical and critical indices of the system are obtained. The results show that this In addition to a Gauss fixed point, there is a Wilson-Fisher fixed point. Compared with the Gauss model on this hierarchical lattice, the critical index of the system changes.