泛函积分与sine-Gordon-Thirring模型的统计平均值  

Statistical Average Values of Functional Integral and Sine-Gordon-Thirring Model

作　　者：颜骏[1] 王涛[1] 邹伯夏[1] 

机构地区：[1]四川师范大学物理与电子工程学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2011年第2期221-225,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省教育厅自然科学重点基金(08ZA038)资助项目

摘　　要：根据泛函积分方法研究了杂质耦合sine-Gordon-Thirring模型的统计物理性质,通过辅助玻色场技巧推导了弱耦合模型的有效势,由泛函行列式微扰展开获得了模型的自由能.另外,在弱耦合情况下计算了两个杂质和凝聚项的4阶统计平均值,还给出了有效势和统计平均值的图形表示.In this paper,the statistical physics properties of sine-Gordon-Thirring model with impurity coupling are studied by means of functional integral method,and the effective potential is derived for weak coupling model by using a auxiliary Bose field technique.Free energy of the model is obtained from perturbation expansion of functional determinant.Moreover,the four-order statistical average values of two impurities and condensed term are calculated in weak coupling case.The diagrammatic presentations of the effective potential and statistical average values are also given.

关 键 词：泛函积分 杂质耦合sine-Gordon-Thirring模型 统计平均值 图形表示 

分 类 号：O641.12[理学—物理化学] TG115.33[理学—化学]