A comment on non-Abelian duality and the strong CP problem

TL;DR

The paper suggests a natural solution to the strong CP problem within a dualized Standard Model framework, where fermion mass matrices are factorizable, enabling chiral rotations to eliminate the theta-angle.

Contribution

It introduces a dualized Standard Model approach where fermion mass matrices are factorizable, providing a new perspective on solving the strong CP problem.

Findings

Fermionic mass matrices are factorizable with one nonzero eigenvalue.

Chiral transformations can rotate the theta-angle to zero in this framework.

The dualized model naturally addresses the strong CP problem.

Abstract

It is pointed out that the strong CP problem may have a natural solution in the context of a recently proposed dualized version of the Standard Model where Higgs fields and generations emerge naturally. Although fermions have finite pole-masses, the fermionic mass matrix itself is factorizable (having only one nonzero eigenvalue) to all orders in perturbation theory thus allowing one to perform a chiral transformation $\psi\to\psi'=e^{-i\gamma_{5}\alpha}\psi$ and to rotate the theta-angle to zero.