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

Abstract

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].

ReVTeX file. 9pp

References in corpus (1)

• Wigner's Last Papers on Spacetime Symmetries

Cited by in corpus (5)

• Photon-Notoph Equations
• Historical Note on the Relativistic Theories of Electromagnetism
• `Longitudinal Nature' of Antisymmetric Tensor Field After Quantization and Importance of the Normalization
• The Weinberg Formalism and a New Look at the Electromagnetic Theory
• Theory of Antisymmetric Tensor Fields