The Current-Current Model of the Weak Interaction

This chapter discusses the representation of the weak interaction as a current-current interaction that violates parity and charge conjugation invariance. It describes the experiments that demonstrate that this violation is maximal. The resulting theory is called the V-A theory of the weak interaction. The chapter works out the predictions of the V-A theory for muon and pion decay and high-energy neutrino scattering and shows the comparison to experiment.

κ-DEFORMED DIRAC EQUATION

We construct a Dirac equation in κ-Minkowski spacetime and analyze its implications. This κ-deformed Dirac equation is expanded as a power series involving derivatives with respect to commutative coordinates and the deformation parameter, a. We show that the κ-deformation breaks the charge conjugation invariance but preserves parity and time reversal. We then study how the hydrogen atom spectrum is modified due to the κ-deformation, applying perturbation theory. Using this, we obtain bounds on the deformation parameter a, which are a few orders higher than the Planck length. We also show that the effects of deformation on the spectrum are distinct from that of Moyal deformation and generalized uncertainty principle.