NDLI: Quantized (1, 0) ⊕ (0, 1) Fields

Content Provider	Springer Nature Link
Author	Dvoeglazov, Valeri V.
Copyright Year	1998
Abstract	We find a mapping between antisymmetric tensormatter fields and the Weinberg 2(2j + 1)-component“bispinor” fields. Equations which describethe j = 1 antisymmetric tensor field coincide with the Hammer-Tucker equations entirely and withthe Weinberg ones within a subsidiary condition, theKlein-Gordon equation. A new Lagrangian for the Weinbergtheory is proposed which is scalar and Hermitian. It is built on the basis of the concept of“Weinberg doubles.” The origin of acontradiction between the classical theory, the Weinbergtheorem B – A = λ for quantum relativisticfields, and the claimed ‘longitudity’ of the antisymmetrictensor field [transformed on the (1, 0) ⊕ (0, 1)Lorentz group representation] after quantization isclarified. Analogs of the j = 1/2 Feynman–Dysonpropagator are presented in the framework of the j = 1 Weinberg theory.It is then shown that under a definite choice of fieldfunctions and initial and boundary conditions themassless j = 1 Weinberg–Tucker–Hammerequations contain all the information that the Maxwell equationsfor the electromagnetic field have. Thus, the formerappear to be of use in describing some physicalprocesses.
Starting Page	1915
Ending Page	1944
Page Count	30
File Format	PDF
ISSN	00207748
Journal	International Journal of Theoretical Physics
Volume Number	37
Issue Number	7
e-ISSN	15729575
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	1998-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Physics Quantum Physics Mathematical and Computational Physics Elementary Particles, Quantum Field Theory
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mathematics

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