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Projection Operator and Propagator for an Arbitrary Half-Integral Spin |
| HUANG Shi-Zhong1,2,3;RUAN Tu-Nan2,3;WU Ning2,4;ZHENG Zhi-Peng2,4 |
| 1Department of Physics, Anhui Normal University, Wuhu 241000
2CCAST (World Laboratory), PO Box 8730, Beijing 100080
3Department of Modern Physics, University of Science and Technology of China, Hefei 230027
4Institute of High Energy Physics, Chinese Academy of Science, Beijing 100039 |
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| Cite this article: |
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HUANG Shi-Zhong, RUAN Tu-Nan, WU Ning et al 2003 Chin. Phys. Lett. 20 209-212 |
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Abstract Based on the solution to Bargmann-Wigner equation for an arbitrary half-integral spin, a direct derivation of the projection operator and propagator for an arbitrary half-integral spin is presented. The projection operator constructed by Behrends and Fronsdal is confirmed and simplified. The commutation rules and a general expression for the Feynman propagator for a free particle with arbitrary half-integral spin are deduced. Explicit expressions for the propagators for spins 3/2, 5/2 and 7/2 are provided.
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| Keywords:
11.80.Cr
03.70.+k
14.80.-j
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Published: 01 February 2003
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| PACS: |
11.80.Cr
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(Kinematical properties)
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03.70.+k
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(Theory of quantized fields)
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14.80.-j
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(Other particles (including hypothetical))
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