维数正规化和NJL模型π介子性质

Dimensional Regularization and π-meson Properties in Nambu-Jona-Lasinio Model

利用定义于Ｇｒａｓｓｍａｎｎ扩展空间的Ｄｉｒａｃ代数算符表象的维数正规化方案，研究Ｎａｍｂｕ－Ｊｏｎａ－Ｌａｓｉｎｉｏ（ＮＪＬ）模型中的π介子模式的性质．说明维数正规化方法可以给出ＮＪＬ模型中强子模式的解析形式和相应的符合实验的数值结果．

The dimensional regularization approach in the operator representation of the Dirac algebra defined in the extended Grassmann space is applied to investigate the properties of the π-meson mode in the Nambu-Jona-Lasinio model. It is shown that the analytic formula for hadronic modes in the Nambu-Jona-Lasinio model as well as the numerical results which fit the experimental data can be obtained by employing this method.