Different Quantum Field Constructs in the $(1/2,0)\oplus (0,1/2)$ Representation

TL;DR

This paper explores alternative quantum field constructs within the erential representation, specifically for neutrinos, demonstrating that fermions and antifermions can share the same intrinsic parity, with implications for neutrino physics.

Contribution

It introduces a new realization of quantum field theory for the erential representation, applying it to neutrino physics and showing fermions and antifermions can have identical intrinsic parities.

Findings

Fermion and antifermion can share the same intrinsic parity.

The construct applies to neutrino physics.

Provides a new realization of quantum field theory.

Abstract

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.