Antisymmetric Tensor Fields, 4-Vector Fields, Indefinite Metrics and Normalization

Details Antisymmetric Tensor Fields, 4-Vector Fields, Indefinite Metrics and Normalization Antisymmetric Tensor Fields, 4-Vector Fields, Indefinite Metrics and Normalization

2007-11-14

arxiv.org/abs/0711.2278v1

J.Phys.Conf.Ser.91:012009,2007

Physics

Mathematical Physics

9 pages, no figures, talks given at the VII Mexican School on Gravitation and Mathematical Physics "Relativistic Astrophysics

Scientific paper

On the basis of our recent modifications of the Dirac formalism we generalize the Bargmann-Wigner formalism for higher spins to be compatible with other formalisms for bosons. Relations with dual electrodynamics, with the Ogievetskii-Polubarinov notoph and the Weinberg 2(2J+1) theory are found. Next, we introduce the dual analogues of the Riemann tensor and derive corresponding dynamical equations in the Minkowski space. Relations with the Marques-Spehler chiral gravity theory are discussed. The problem of indefinite metrics, particularly, in quantization of 4-vector fields is clarified.

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