Charge Conjugation from Space-Time Inversion

TL;DR

This paper demonstrates that the CPT symmetry group for the Dirac field can be derived directly from the Lorentz group's subgroups involving space-time inversion, highlighting a fundamental connection between spacetime symmetries and quantum field properties.

Contribution

It reveals that the CPT group arises naturally from the Lorentz group's PT and P (or T) subgroups, providing a new perspective on spacetime and quantum symmetries.

Findings

CPT group of the Dirac field is derived from Lorentz subgroups.

Shows a natural emergence of CPT symmetry from spacetime inversion.

Highlights the fundamental link between Lorentz symmetry and quantum field invariances.

Abstract

We show that the CPT group of the Dirac field emerges naturally from the PT and P (or T) subgroups of the Lorentz group.