Projection Operator and Feynman Propagator for a Free Massive Particle of Arbitrary Spin*

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© International Academic Publishers
, , Citation Huang Shi-Zhong et al 2004 Commun. Theor. Phys. 41 405 DOI 10.1088/0253-6102/41/3/405

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1 Department of Physics, Anhui Normal University, Wuhu 241000, China

2 Department of Modern Physics and National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230027, China

3 China Center of Advanced Science and Technology (World Laboratory), Beijing 100080, China

4 Institute of High Energy Physics, the Chinese Academy of Sciences, Beijing 100039, China

Dates

  1. Received 17 July 2003
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0253-6102/41/3/405

Abstract

Based on the solution to the Bargmann–Wigner equations, a direct derivation of the projection operator and Feynman propagator for a free massive particle of arbitrary spin is worked out. The projection operator constructed by Behrends and Fronsdal is re-deduced and confirmed, and simplified in the case of half-integral spin, the general commutation rules and Feynman propagator with additional non-covariant terms for a free massive particle with any spin are derived, and explicit expressions for the propagators for spins 3/2, 2, 5/2, 3, 7/2, and 4 are provided.

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Footnotes

  • * 

    The project supported partially by National Natural Science Foundation of China under Grant Nos. 19947001, 90103010, and 19991480, the Foundation of National Key Program for Basic Research of China under Grant No. 2001CCB01000, the Doctoral Program Foundation of the Institution of Higher Education of China under Grant No. 97035807, and the Natural Science Foundation of Anhui Province of China under Grant No. 01046202

10.1088/0253-6102/41/3/405