Abstract
The Bargmann-Wigner formalism has been applied to describe the spin-2 field in terms of the symmetric fourth-rank multi-Dirac spinor Ψαβγδ. A serious problem of the standard anzatz is that the resulting equation of motion has the trivial solution with all field components being independently equal to zero. We here show that this problem is an artefact of the neglection of terms containing the matrix γ5 in the decomposition of ϕ into the Clifford algebra basis. We further emphasize importance of the gauge 4-vector field in that respect.
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References
Bargmann V. and E. P. Wigner,Proc. Nat. Acad. Sci. (USA)34 211 (1948).
Lurié D., “Particles and Fields”. Interscience Publisher. New York, Chapter 1, (1968).
Kirchbach M.,Mod. Phys. Lett. A12 2373 (1997); hep-ph/9901279.
Dvoeglazov V. V.,On the Importance of the Normalization. Preprint EFUAZ FT-96-39-REV (hep-th/9712036), Nov. (1997);Photon-Notoph Equations. Preprint EFUAZ FT-97-53-REV (physics/9804010), April (1998).
Rembieliński J. and W. Tybor,Acta Phys. Polon. B 22 439 (1991);Acta Phys. Polon. B 439 (1991) 447; Bakalarska M. and W. Tybor,On Notivarg Propagator. Preprint hepth/9801065;On the Deser-Siegel-Townsend Notivarg. Preprint hep-ph/9801216, Lódź. Poland.
Weinberg S.,Phys. Rev. 133B 1318 (1964); ibid.Phys. Rev. 134B 882.
Weinberg S., “Gravitation and Cosmology,” John Wiley & Sons, New York, (1972).
Jefimenko O. D., “Causality, Electromagnetic Induction and Gravitation,” Electret Sci. Co. Star City, (1992); Chang T.,Galilean Electrodynamics 3 36 (1992).