A New Type of Massive Spin-One Boson: and its Relation with Maxwell Equations

TL;DR

This paper introduces a novel quantum field theory for massive spin-one bosons with opposite intrinsic parities for particles and antiparticles, and proposes a fundamental modification to Maxwell's equations in the massless limit.

Contribution

It constructs a new quantum theory for Wigner-type particles with opposite intrinsic parities, differing from Weinberg's approach, and suggests modifications to Maxwell's equations.

Findings

Two distinct theories for charged particles in the (1,0)⊕(0,1) space.

Massless limit of both theories leads to a modified form of Maxwell's equations.

Theories differ in charge conjugation and parity operation properties.

Abstract

First, we show that in the $(1,0)\oplus(0,1)$ representation space there exist not one but two theories for charged particles. In the Weinberg construct, the boson and its antiboson carry {\it same} relative intrinsic parity, whereas in our construct the relative intrinsic parities of the boson and its antiboson are {\it opposite}. These results originate from the commutativity of the operations of Charge conjugation and Parity in Weinberg's theory, and from the anti-commutativity of the operations of Charge conjugation and Parity in our theory. We thus claim that we have constructed a first non-trivial quantum theory of fields for the Wigner-type particles. Second, the massless limit of both theories seems formally identical and suggests a fundamental modification of Maxwell equations. At its simplest level, the modification to Maxwell equations enters via additional boundary condition(s).