超对称电动力学系统的Faddeev-Senjanovic量子化
Faddeev-Senjanovic Quantization of Supersymmetrical Electrodynamical System
摘要：
根据Faddeev-Senjanovic格式中正则约束系统的路径积分量子化方法，对一般情况下的超对称电动力学系统进行量子化，得到了格林函数的生成泛函。通过对几个基本约束进行线性组合，得到另一个第一类约束，构造规范变换的生成元，推导出所有不同场的规范变换。利用规范固定条件的相容性方程，推导出另一个规范固定条件，发现系统的次约束是Euler-Lagrange方程，即电荷守恒定律。因此，我们不需要逐步计算其他次级约束，也不会自然地得到新的约束。从而简化了超对称电动力学系统的Faddeev-Senjanovic路径积分量子化。
英文摘要：
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 the all different fields are deduced. Utilizing the consistency equation of gauge fixing condition we deduce another gauge fixing condition, and we find that the secondary constraint of the system is an Euler-Lagrange equation that is just electro-charge conversation law. 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 electrodynamical system is simplified.
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