Quantum fields and Noether charges for kappa-Minkowski

          @misc{ pirsa_PIRSA:07120047,
            doi = {10.48660/07120047},
            url = {https://pirsa.org/07120047},
            author = {Marciano, Antonino},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Quantum fields and Noether charges for kappa-Minkowski },
            publisher = {Perimeter Institute},
            year = {2007},
            month = {dec},
            note = {PIRSA:07120047 see, \url{https://pirsa.org}}
          }
          

Abstract

There has been much interest, in the past few years, in the kappa-Poincare\'/kappa-Minkowski framework as a possible scenario for a deformation of Poincare\' symmetries at Planck scale. I will show how it is possible to give a physical characterization of the concept of quantum symmetries described by a nontrivial Hopf algebra. In particular, I will discuss the generalization of the Noether analysis for a scalar field in kappa-Minkowski space-time and derive conserved charges associated with each generator of the kappa-Poincare\' Hopf-algebra. Then I will report on a recent proposal for the quantization of a scalar field enjoying kappa-Poincare\' symmetries, which consists in a construction of the Fock-space of the theory consistent with the structure of deformed symmetries. Finally I will comment on possible applications of deformed symmetries scenarios in cosmology.