Covariant local field theory equations following from the relativistic canonical quantum mechanics of arbitrary spin

TL;DR

This paper develops covariant local field equations derived from relativistic canonical quantum mechanics for particles with arbitrary spin and mass, establishing links between quantum mechanics and field theory, and introducing Maxwell-like equations for spin-1 bosons.

Contribution

It introduces new covariant local field equations for arbitrary spin particles derived from relativistic quantum mechanics, expanding the theoretical framework.

Findings

Derived covariant local field equations for various spins

Established connection between quantum mechanics and field theory

Introduced Maxwell-like equations for spin-1 bosons

Abstract

The new relativistic equations of motion for the particles with spin s=1, s=3/2, s=2 and nonzero mass have been introduced. The description of the relativistic canonical quantum mechanics of the arbitrary mass and spin has been given. The link between the relativistic canonical quantum mechanics of the arbitrary spin and the covariant local field theory has been found. The manifestly covariant field equations that follow from the quantum mechanical equations, have been considered. The covariant local field theory equations for spin s=(1,1) particle-antiparticle doublet, spin s=(1,0,1,0) particle-antiparticle multiplet, spin s=(3/2,3/2) particle-antiparticle doublet, spin s=(2,2) particle-antiparticle doublet, spin s=(2,0,2,0) particle-antiparticle multiplet and spin s=(2,1,2,1) particle-antiparticle multiplet have been introduced. The Maxwell-like equations for the boson with spin s=1 and $m>0$ have been introduced as well.