一种等级晶格上S^4模型的临界性质  

Critical Properties of the S^4 Model on a Type of Hierarchical Lattice

作　　者：尹训昌[1] 史守华[2] 余春日[1] 

机构地区：[1]安庆师范学院物理与电气工程学院,安徽安庆246133 [2]安徽大学物理与材料科学学院,合肥230039

出　　处：《吉林大学学报（理学版）》2009年第1期86-91,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10676025);安徽省青年教师科研项目基金(批准号:2008jql100)

摘　　要：应用实空间重整化群和累积展开的方法,研究外场中一种等级晶格上S4模型的相变和临界性质,求出系统的临界点和临界指数.结果表明,该系统存在一个Gauss不动点和一个Wilson-Fisher不动点,与特殊钻石型等级晶格上的S4模型相比,系统的临界点和临界指数均发生变化,表明二者属于不同的普适类.Using the renormalization-group transformation method together with the cumulative expansion technique, the phase transition and critical properties of the S^4 model on a type of hierarchical lattice were studied, and its fixed points and critical exponents were obtained. The results show that there exists a Wilson-Fisher fixed point besides the Gaussian fixed point, compared with those of the S^4 model on the special diamond-type of hierarchical lattices, the critical points and critical exponents have changed. It has been found that both of them belong to different university classes.

关 键 词：等级晶格 S4模型 重整化群 临界性质 

分 类 号：O414.13[理学—理论物理]