Relativistic Equations for Arbitrary Spin, Especially for the Spin s = 2

  • V. M. Simulik Institute of Electron Physics, Nat. Acad. of Sci. of Ukraine
Keywords: Dirac equation, relativistic quantum mechanics, arbitrary spin, graviton, spin (2,2) particle-antiparticle doublet

Abstract

The further approbation of the equation for the particles of arbitrary spin introduced recently in our papers is under consideration. The comparison with the known equations suggested by Bhabha, Pauli–Fierz, Bargmann–Wigner, Rarita–Schwinger (for spin s =3/2) and other authors is discussed. The advantages of the new equations are considered briefly. The advantage of the new equation is the absence of redundant components. The important partial case of spin s =2 is considered in details. The 10-component Dirac-like wave equation for the spin s =(2,2) particle-antiparticle doublet is suggested. The Poincar´e invariance is proved. The three-level consideration (relativistic canonical quantum mechanics, canonical Foldy–Wouthuysen-type field theory, and locally covariant field theory) is presented. The procedure of our synthesis of arbitrary spin covariant particle equations is demonstrated on the example of spin s =(2,2) doublet.

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Published
2019-11-25
How to Cite
Simulik, V. (2019). Relativistic Equations for Arbitrary Spin, Especially for the Spin s = 2. Ukrainian Journal of Physics, 64(11), 1064. https://doi.org/10.15407/ujpe64.11.1064
Section
Fields and elementary particles