泛函积分与sine-Gordon-Thirring模型的相结构  

Functional integrals and phase structures in sine-Gordon-Thirring model

作　　者：邹伯夏[1] 颜骏[1] 王涛[1] 

机构地区：[1]四川师范大学物理系,成都610066

出　　处：《四川大学学报（自然科学版）》2010年第1期123-127,共5页Journal of Sichuan University(Natural Science Edition)

基　　金：四川省教育厅自然科学基金(08ZA038)

摘　　要：本文研究了具有杂质耦合的一维量子sine-Gordon-Thirring模型的相结构.应用微扰和非微扰泛函积分方法推导了有限温度下的的有效势,分析了弱耦合和强耦合情况下的共存相的稳定性.发现当费米子为排斥势(g>0)时不能形成稳定相,费米子为吸引势(g<0)时,可以形成稳定相.The phase structures of one-dimensional quantum sine-Gordon-Thirring model with impurity coupling are studied in this paper. The effective potentials at finite temperate are derived by means of the perturbation and non-perturbation functional integrals method. The stability of co-existence phase is an- alyzed respectively in the weak and strong coupling case. We found that the co-existence phase is not stable when fermions have an exclude potential （ g 〉 0 ）, and the stable co-existence phase can form when fermions have an attractive potential （ g 〈 0 ）.

关 键 词：泛函积分 变分累积展开 sine-Gordon-Thirring模型 相结构 

分 类 号：O412.1[理学—理论物理]