Seminarium Teorii Względności i Grawitacji

In this talk I will first introduce the κ-Minkowski spacetime, whose coordinates satisfy the AN(3) algebra. By building the group elements associated to the AN(3) algebra I will then introduce the momentum-space group manifold, and I will emphasize its relation with the κ-Poincaré algebra, which describes the symmetries of κ-Minkowski spacetime. I will then turn to the study of how particles and antiparticles behave in such spacetime, and to do so I will briefly introduce the action of a complex scalar field and show the translation charges. Starting from these results, I will then consider a particle/antiparticle pair resulting from the decay of some initial particle, both in its center of mass and in a boosted reference frame. For the latter case, I will first obtain the finite two-particle boost. The behaviour of particles and antiparticles in a boosted frame will then be highlighted, especially in comparison to the non-deformed case.