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

作　　者：HUANG YongChang1,3,4, JIANG YunGuo1 & LI XinGuo2,3 1 Institute of Theoretical Physics, College of Applied Sciences, Beijing University of Technology, Beijing 100022, China 2 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China 3 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Chinese Academy of Sciences, Lanzhou 730000, China 4 China Center of Advanced Science and Technology (World Laboratory), Beijing 100080, China 

出　　处：《Science China(Physics,Mechanics & Astronomy)》2007年第3期339-347,共9页中国科学：物理学、力学、天文学（英文版）

基　　金：Supported by Knowledge Innovation Project of the Chinese Academy of Sciences (Grant Nos. KJCX2-SW-N02 and KJCX2-SW-N016);the National Natural Science Foundation of China (Grant Nos. 10435080 and 10575123);Beijing Natural Science Foundation (Grant No. 1072005);the Science and Technology Development Foundation of Beijing Municipal Education Committee (Grant No. Km200310005018)

摘　　要：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 transforma- tions 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 ob- tained. Finally, the Ward-Takahashi identities based on the canonical Noether theorem were calculated, and two relations between proper vertices and propaga- tors were obtained.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.

关 键 词：SUPERSYMMETRIC ELECTROMAGNETIC interaction BRST quantization WARD IDENTITY 

分 类 号：O413.2[理学—理论物理]