Reducible representations of CAR and CCR with possible applications to field quantization

Physics – High Energy Physics – High Energy Physics - Theory

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Contribution to "New ideas in quantization", XXI Workshop on Geometric Methods in Physics, Bialowieza 2002, proceedings to be

Scientific paper

Reducible representations of CAR and CCR are applied to second quantization
of Dirac and Maxwell fields. The resulting field operators are indeed operators
and not operator-valued distributions. Examples show that the formalism may
lead to a finite quantum field theory.

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