Note on a BCS analogy of Majorana neutrinos

TL;DR

This paper explores an analogy between BCS theory and the seesaw model of neutrinos, suggesting a more complex process involving Bogoliubov transformations for Majorana neutrino formation.

Contribution

It introduces a novel analogy between BCS theory and neutrino models, emphasizing the need for Bogoliubov transformations in constructing Majorana neutrinos.

Findings

Highlights the analogy between BCS theory and neutrino seesaw model

Proposes that Majorana neutrinos require Bogoliubov-type transformations

Challenges the simplified view of Majorana neutrino construction

Abstract

In this note, we discuss an analogy between the BCS theory and the seesaw model of neutrinos. We believe that the analogy indicates some fundamental aspects of Majorana neutrinos. A paper on the issue has been recently presented, and we would like to describe the background of the paper together with our personal views on the problem. In essence, the conventional construction of a Majorana neutrino from a chiral fermion is too simplified, and we argue that one would actually have to go through a Bogoliubov-type canonical transformation to generate two Majorana fermions from an effective single Dirac fermion in the seesaw model.