Quantum spinor reflections in Minkowski spacetime

Abstract

We will study Dirac spinors under reflections. Since it has been discovered that local Abelian electromagnetic gauge transformations can generate a causality reflection through the sign of the norm of tetrad vectors, it has become relevant to study Dirac spinors under this particular kind of transformation. We will find suitable quantum operators for discrete reflections in Minkowski spacetime and present these results in two theorems.