Spin-half bosons with mass dimension three half: Evading the spin-statistics theorem

TL;DR

This paper introduces a novel quantum field theory for spin-half bosons by redefining spinor duals, demonstrating that such particles can be consistent with locality, Lorentz invariance, and unitarity, thus challenging traditional spin-statistics constraints.

Contribution

It presents the first consistent local quantum field theory for spin-half bosons, exploiting dual definitions to evade the spin-statistics theorem.

Findings

The theory is local, Lorentz-invariant, and has a positive-definite Hamiltonian.

Unitarity is preserved in scattering processes involving these bosons.

A Yukawa interaction model confirms the theory's consistency with unitarity.

Abstract

By exploiting the freedom in defining the dual of spinors, we report an unexpected theoretical discovery of a quantum field theory of spin-half bosons. It fulfils Dirac's 1969-70 observation that "there must be boson variables connected with electrons." The theory is local, Lorentz-invariant, and has a positive-definite Hamiltonian. We formulate the unitarity-preserving scattering theory to accommodate the new dual and the associated adjoint. A model of Yukawa interaction with spin-half bosons and fermions of equal masses is studied to explicitly show unitarity.