Chiral Interactions of Massive Particles in the (1/2,0)+(0,1/2) Representation

TL;DR

This paper explores the theoretical possibility that certain massive particles can have axial charge and discusses recent claims about their interaction terms, based on fundamental principles.

Contribution

It demonstrates that self/anti-self charge conjugate states in the (1/2,0)+(0,1/2) representation can have axial charge, challenging previous assumptions.

Findings

Self/anti-self charge conjugate states can possess axial charge.

Discussion of the  bla imes bla^\u00a0 interaction term.

Theoretical basis established for axial charge in these states.

Abstract

On the basis of the first principles we argue that self/anti-self charge conjugate states of the (1/2,0)+(0,1/2) representation can possess the axial charge. Finally, we briefly discuss recent claims of the \sim \vec \sigma \cdot [ \vec A \times \vec A^\ast ] interaction term for the particles of this representation.