Antisymmetric Tensor Fields, 4-Vector Fields, Indefinite Metrics and Normalization
Abstract
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.
Cite
@article{arxiv.0711.2278,
title = {Antisymmetric Tensor Fields, 4-Vector Fields, Indefinite Metrics and Normalization},
author = {Valeri V. Dvoeglazov},
journal= {arXiv preprint arXiv:0711.2278},
year = {2011}
}
Comments
9 pages, no figures, talks given at the VII Mexican School on Gravitation and Mathematical Physics "Relativistic Astrophysics and Numerical Relativity", November 26 -- December 1, 2006, Playa del Carmen, QR, Mexico; and the 10th Workshop "What comes beyond the Standard Model?", July 17-27, 2007, Bled, Slovenia