中国物理B ›› 2003, Vol. 12 ›› Issue (7): 721-731.doi: 10.1088/1009-1963/12/7/305

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Feynman propagator for an arbitrary half-integral spin

张鹏飞1, 阮图南1, 黄时中2, 祝玉灿3, 郑志鹏3   

  1. (1)China Center of Advanced Science and Technology (World Laboratory), Beijing 100080, China; Department of Modern Physics and National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230027, China; (2)China Center of Advanced Science and Technology (World Laboratory), Beijing 100080, China; Department of Modern Physics and National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230027, China; Department of Physic; (3)China Center of Advanced Science and Technology (World Laboratory), Beijing 100080, China; Institute of High Energy Physics, Chinese Academy of Science, Beijing 100039, China
  • 收稿日期:2002-12-31 修回日期:2003-03-05 出版日期:2003-07-16 发布日期:2005-03-16
  • 基金资助:
    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

Feynman propagator for an arbitrary half-integral spin

Huang Shi-Zhong (黄时中)abc, Zhang Peng-Fei (张鹏飞)ab, Ruan Tu-Nan (阮图南)ab, Zhu Yu-Can (祝玉灿)ad, Zheng Zhi-Peng (郑志鹏)ad   

  1. 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
  • Received:2002-12-31 Revised:2003-03-05 Online:2003-07-16 Published:2005-03-16
  • Supported by:
    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

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摘要： 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.

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.

Key words: half-integral spin, projection operator, commutation rule, Feynman propagator

中图分类号:  (Field theory)

  • 11.10.-z