Theory of spin one half bosons

Abstract: These are notes on the square root of $4\times4$ identity matrix and associated quantum fields of spin one half. The method is illustrated by constructing a new mass dimension one bosonic field. The locality constraint for the field leads naturally to maximum parity violation. The degrees of freedom carried by the new bosons are different from any massive boson previously encountered and coincide with those carried by spin one half fermions. We thus provide a quantum field suspected to exist by Dolgov and Smirnov in the context of cosmological neutrinos.