Description of Photon and Notoph Degrees of Freedom by Proca-like Equations

Abstract

In the sixties Ogievetski and Polubarinov proposed a concept of a notoph, whose helicity properties are complementary to those of a photon. Then, this theory pepetually received the name of Kalb and Ramond. We analyze the theory of antisymmetric tensor fields in the view of the normalization problem. The obtained result is that it is possible to describe both photon and notoph degrees of freedom on the basis of the modified Bargmann–Wigner formalism for the symmetric second-rank spinor. We also briefly discuss recently claimed terms σ · [A × A*].