About the Claimed Longitudinal Nature of the Antisymmetric Tensor Field After Quantization

Valeri V. Dvoeglazov

Published 1996-04-23Version 1

It has long been claimed that antisymmetric tensor field of the second rank is longitudinal after quantization. Such a situation is quite unacceptable from a viewpoint of the Correspondence Principle. On the basis of the Lagrangian formalism we calculate the Pauli-Lyuban'sky vector of relativistic spin for this field. Even at the classical level it can be equal to zero after application of the well-known constraints. The correct quantization procedure permits us to propose solution of this puzzle in the modern field theory. Obtained results develop the previous consideration of Evans [{\it Physica A}214 (1995) 605-618].