Bargmann-Wigner Equation and High Spin Field Equations

  • From the Bargmann-Wigner equation in coordinate representation, a convenient form of field equations for arbitrary spin, which are similar to the Rarita-Schwinger equations for arbitrary half integral spin, is derived rigorously. The method used here is to expand the completely symmetric multispinor field with symmetric matrices and a tensor or tensor-spinor field. Meanwhile, the Lagrangian functions for fields with arbitrary integral and half integral spin are given respectively.
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  • [1] . Chung S U .CERN Report,CERN ,1971,71—82. Fran k W .Rev.Mod.Phys.,1999,71:S85—S953. Dirac PAM .Proc.Roy.Soc.,1936,A155:447—459 4. Fierz M .Helv.Phys.Acta,1939,12:3—37 5. Fierz M ,Pauli W .Proc.Roy.Soc.,1939,A173:211—2326. Rarita W ,Schwinger J. Phys.Rev.,1941,60:61 7. Bargmann V ,Wigner E P .Proc. Nat. Acad.Sci.(USA),1948,34:211—223 8. Moldauer P A ,Case K M .Phys.Rev.,1956,102:279 9. Lurie D .Particles and Fields,John Wiley Sons,NY ,1968,30—38
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HUANG Shi-Zhong, RUAN Tu-Nan, WU Ning and ZHENG Zhi-Peng. Bargmann-Wigner Equation and High Spin Field Equations[J]. Chinese Physics C, 2001, 25(11): 1058-1064.
HUANG Shi-Zhong, RUAN Tu-Nan, WU Ning and ZHENG Zhi-Peng. Bargmann-Wigner Equation and High Spin Field Equations[J]. Chinese Physics C, 2001, 25(11): 1058-1064. shu
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Received: 2001-01-30
Revised: 1900-01-01
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Bargmann-Wigner Equation and High Spin Field Equations

    Corresponding author: HUANG Shi-Zhong,
  • CCAST World Lab., Beijing 100080, China2 Department of Modern Physics, University of Science and Technology of China, Hefei 230027, China3 Institute of High Energy Physics, CAS, Beijing 100039, China

Abstract: From the Bargmann-Wigner equation in coordinate representation, a convenient form of field equations for arbitrary spin, which are similar to the Rarita-Schwinger equations for arbitrary half integral spin, is derived rigorously. The method used here is to expand the completely symmetric multispinor field with symmetric matrices and a tensor or tensor-spinor field. Meanwhile, the Lagrangian functions for fields with arbitrary integral and half integral spin are given respectively.

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