Kappa-Minkowski: physics with noncommutative time

          @misc{ pirsa_PIRSA:21060088,
            doi = {10.48660/21060088},
            url = {https://pirsa.org/21060088},
            author = {Mercati, Flavio},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Kappa-Minkowski: physics with noncommutative time},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {jun},
            note = {PIRSA:21060088 see, \url{https://pirsa.org}}
          }
          

Abstract

The kappa-Minkowski noncommutative spacetime has been studied for a long time as an example of quantum spacetime with nontrivial commutation relations between spatial and temporal coordinates which, at first sight, seem to break Poincaré invariance. However kappa-Minkowski is invariant under a Hopf-algebra deformation of the Poincaré group, which involves some noncommutative structures that prevent the sharp localization of reference frames. I will describe recent progress towards the consistent construction of quantum field theories on this spacetime, and the identification of physical predictions that genuinely distinguish kappa-Minkowski from ordinary, commutative Minkowski spacetime.