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

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.

Comments: Invited by the Editor in Chief of EPL as a Perspective article. In the replaced version: equation (55) is corrected, and in the paragraph that follows we have also corrected two typographical errors