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In this letter we outline some reasons for considering a quantum field theory symmetric under quantum groups and we sketch some results obtained with collaborators in the k-Poincare framework. We deal with this latter as a toy model towards an effective and low-energy theory of quantum gravity, the new physically relevant effects of which are Planck-scale suppressed.

A BRIEF OVERVIEW OF QUANTUM FIELD THEORY WITH DEFORMED SYMMETRIES AND THEIR RELATION WITH QUANTUM GRAVITY