超对称电动力学系统的Faddeev-Senjanovic量子化(英文)  

Faddeev-Senjanovic Quantization of the Supersymmetrical Electrodynamic System

作　　者：姜云国[1] 黄永畅[1] 

机构地区：[1]北京工业大学应用数理学院理论物理研究所,北京100022

出　　处：《高能物理与核物理》2006年第12期1151-1155,共5页High Energy Physics and Nuclear Physics

摘　　要：用Faddeev-Senjanovic量子化方法对超对称电动力学系统在一般情况下进行了量子化,得到了格林函数的生成泛函,通过对一些约束作线性组合获得了另一个第一类约束,构造出了该体系的规范生成元,导出了该系统的规范不变的对称变换,由一个规范条件的自恰性导出了另一个规范条件,发现超对称电动力学系统的次级第一类约束对应物理电荷守恒律,从而使过去要算很多次级约束才能截断的约束自然截断,因而使超对称电动力学系统在一般情况下的Faddeev-Senjanovic量子化被简化．According to the method of path integral quantization for the canonical constrained system in Fazldeev-Senjanovic scheme, we quantize the supersymmetrical electrodynamic system in general situation, and obtain the generating functional of Green function. Another first class constraint is obtained by making the linear combination of several primary constraints, the generator of gauge transformation is constructed, gauge transformations of all the different fields are deduced. Utilizing the consistency equation of gauge fixing condition to deduce another gauge fixing condition, we find that the secondary constraint of the system is an Euler-Lagrange equation which is just the conversation law of electric charge. Thus, we do not need to calculate the other secondary constraints step by step, and get no new constraints naturally. So, the Faddeev-Senjanovic path integral quantization of the supersymmetrical electrodynamic system is simplified.

关 键 词：超对称 量子电动力学 Faddeev—Senjanovic量子化 Dirac—Bergmman算法 

分 类 号：O572.2[理学—粒子物理与原子核物理]