$\kappa$-deformed complex fields, (discrete) symmetries, and charges

TL;DR

This paper develops a complex scalar field theory in $k$-Minkowski spacetime, analyzing its symmetries, charges, and potential experimental implications, especially regarding particle-antiparticle decay differences.

Contribution

It introduces a new $k$-deformed complex scalar field model, detailing its symmetry properties, charge computations, and potential experimental signatures.

Findings

Charges exhibit non-trivial $k$-deformation effects

Symmetry transformations are modified under $k$-deformation

Potential observable differences in particle-antiparticle decay rates

Abstract

We will briefly describe how to build a field theory of a complex scalar field in the $\kappa$-Minkowski spacetime. After introducing the action, we will shortly describe its properties under both continuous and deformed symmetry transformations. We will then describe how to compute the charges and describe their non-trivial properties due to $\kappa$-deformation. We will conclude with the experimental significance of the model, particularly in the context of decay probability differences between particles and antiparticles.