Different Quantum Field Constructs in the $(1/2,0)\oplus (0,1/2)$   Representation
  We present another concrete realization of a quantum field theory, envisaged many years ago by Bargmann, Wightman and Wigner. Considering the special case of the $(1/2,0)\oplus (0,1/2)$ field and developing the Majorana-McLennan-Case-Ahluwalia construct for neutrino we show that fermion and its antifermion can have same intrinsic parities. The construct can be applied to explanation of the present situation in neutrino physics. 
Valeri V. Dvoeglazov (Universidad Aut\'onoma de Zacatecas)