泛函积分与sine-Gordon-Thirring模型的相结构

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

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 ）.