CAJ | 학술논문

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.
용Faddeev-Senjanovic양자화방법대초대칭전동역학계통재일반정황하진행료양자화,득도료격림함수적생성범함.통과대일사약속작선성조합획득료령일개제일류약속,구조출료해체계적규범생성원,도출료해계통적규범불변적대칭변환.유일개규범조건적자흡성도출료령일개규범조건,발현초대칭전동역학계통적차급제일류약속대응물리전하수항률,종이사과거요산흔다차급약속재능절단적약속자연절단,인이사초대칭전동역학계통재일반정황하적Faddeev-Senjanovic양자화피간화.
According to the method of path integral quantization for the canonical constrained system in Faddeev-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.