Modified Bargmann-Wigner Formalism (Bosons of Spin 1 and 2)

TL;DR

This paper extends the Bargmann-Wigner formalism for spin 1 and 2 bosons, aligning it with other formalisms, and explores its connections to dual electrodynamics, notoph, and chiral gravity theories.

Contribution

It introduces modifications to the Bargmann-Wigner formalism for higher spins, making it compatible with various bosonic formalisms and establishing new theoretical relations.

Findings

Relations with dual electrodynamics and notoph established

Derived dynamical equations for dual Riemann tensor

Connections with chiral gravity theory discussed

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.