Bargmann-Wigner Equation and High Spin Field Equations

HUANG Shi-Zhong; RUAN Tu-Nan; WU Ning; ZHENG Zhi-Peng

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2024年10月30日

Chinese Physics C> 2001, Vol. 25> Issue(11) : 1058-1064

Bargmann-Wigner Equation and High Spin Field Equations

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

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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.

References

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. 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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沈阳化工大学材料科学与工程学院沈阳 110142

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

Received Date: 2001-01-30
Accepted Date: 1900-01-01
Available Online: 2001-11-05

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.