 98106 Valeri V. Dvoeglazov (EFUAZ)
 Questions in the Theory of the (1,0)+(0,1) Quantized Fields
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Mar 1, 98

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Abstract. We find a mapping between antisymmetric tensor matter fields and the
Weinberg's
2(2j+1) component ``bispinor" fields. Equations which describe the j=1
antisymmetric
tensor field coincide with the HammerTucker equations entirely and with
the Weinberg ones within a subsidiary condition, the KleinGordon
equation.
The new Lagrangian for the Weinberg theory is proposed which is scalar
and
Hermitian. It is built on the basis of the concept of the `Weinberg
doubles'.
Origins of a contradiction between the classical theory, the Weinberg
theorem
BA=\lambda for quantum relativistic fields and the claimed
`longitudity' of
the antisymmetric tensor field (transformed on the (1,0)+(0,1) Lorentz
group
representation) after quantization are clarified. Analogs of the j=1/2
FeynmanDyson
propagator are presented in the framework of the j=1 Weinberg theory.
It is then
shown that under the definite choice of field functions and initial and
boundary
conditions the massless j=1 WeinbergTuckerHammer equations contain all
information
that the Maxwell equations for electromagnetic field have. Thus, the
former appear to be
of use in describing some physical processes for which that could be
necessitated or
be convenient.
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