BRST quantization and canonical Ward identity of the supersymmetric electromagnetic interaction system

Abstract

According to the method of path integral quantization for the canonical constrained system in Becchi-Rouet-Stora-Tyutin scheme, the supersymmetric electromagnetic interaction system was quantized. Both the Hamiltonian of the supersymmetric electromagnetic interaction system in phase space and the quantization procedure were simplified. The BRST generator was constructed, and the BRST transformations of supersymmetric fields were gotten; the effective action was calculated, and the generating functional for the Green function was achieved; also, the gauge generator was constructed, and the gauge transformation of the system was obtained. Finally, the Ward-Takahashi identities based on the canonical Noether theorem were calculated, and two relations between proper vertices and propagators were obtained. supersymmetric electromagnetic interaction, BRST quantization, Ward identitySupersymmetric theory is an attractive theory in the interface of particle physics and cosmology, because it can provide answers to many thorny topics in particle physics and cosmology, for example: (1) the gauge hierarchy problem may be solved by weak-scale supersymmetry [1] ; (2) grand unification becomes more meaningful than the case without supersymmetry, and the coupling constants of the weak, electromagnetic and strong interactions become the same at 100 Plank scale in the framework of supersymmetric standard model [2] ; (3) supersymmetry provides new stable particles (superpartner, for example, neutrolino and gravitino), which may make up an im-