Sierpinski地毯上S^4模型的临界特性

Critical properties of the S^4 model for Sierpinski carpet

通过键移动重整化群的方法,分析了Sierpinski地毯上S4模型的临界行为,得到了系统的临界点.由得到的结果可知,本系统不仅有一个高斯不动点,而且还存在着一个Wilson Fisher不动点,把它与Sierpinski地毯上的高斯模型相互对比,发现本系统的临界点变化很大.这说明这两个系统隶属于两个不同的普适类.

According to the bond-moving renormalization group technique, the critical behaviour of S4 model for Sierpinski carpet is investigated, then the critical points are obtained. From the results we find that there are a Wilson-Fisher fixed point and a Caussian fixed point. In contrast to the Gauss model for Sierpinski carpet, the critical points have altered obviously. Results indicate that the two systems belong to two different universal classes.