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Anatomy of a deformed symmetry: Field quantization on curved momentum space

Anatomy of a deformed symmetry: Field quantization on curved momentum space

In certain scenarios of deformed relativistic symmetries relevant for noncommutative field theories particles exhibit a momentum space described by a non-Abelian group manifold. Starting with a formulation of phase space for such particles which allows for a generalization to include group-valued momenta we discuss quantization of the corresponding field theory. …