a China Center of Advanced Science and Technology (World Laboratory), Beijing 100080, China; b Department of Modern Physics and National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230027, China; c Department of Physics, Anhui Normal University , Wuhu 241000, Chinad Institute of High Energy Physics, Chinese Academy of Science, Beijing 100039, China
Abstract Based on the solution to Bargmann－Wigner equation for a particle with arbitrary half-integral spin, a direct derivation of the projection operator and propagator for a particle with arbitrary half-integral spin is worked out. The projection operator constructed by Behrends and Fronsdal is re-deduced and confirmed and simplified, the general commutation rules and Feynman propagator with additional non-covariant terms for a free particle with arbitrary half-integral spin are derived, and explicit expressions for the propagators for spins 3/2, 5/2 and 7/2 are provided.
Received: 31 December 2002
Revised: 05 March 2003
Accepted manuscript online:
PACS:
11.10.-z
(Field theory)
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 19947001, 90103010, and 19991480), the Foundation of National Key Program for Basic Research of China (Grant No 2001CCB01000), the Doctoral Program Foundation of the Institut
Cite this article:
Huang Shi-Zhong (黄时中), Zhang Peng-Fei (张鹏飞), Ruan Tu-Nan (阮图南), Zhu Yu-Can (祝玉灿), Zheng Zhi-Peng (郑志鹏) Feynman propagator for an arbitrary half-integral spin 2003 Chinese Physics 12 721
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