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arxiv: hep-th/0304144 · v3 · pith:GVBA5MTUnew · submitted 2003-04-16 · ✦ hep-th

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

classification ✦ hep-th
keywords fieldoperatorsquantizationreduciblerepresentationsapplicationsapplieddirac
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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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