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

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Abstract

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.

Topics & Keywords

Noncommutative and Quantum Gravity Theories Homotopy and Cohomology in Algebraic Topology Quantum Electrodynamics and Casimir Effect

Publication Details

Published in: Journal of Nonlinear Mathematical Physics

Volume 11, Issue Supplement 1, pp. 78-78

DOI: 10.2991/jnmp.2004.11.s1.10

Field-Weighted Citation Impact: 0.76

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

Authors

Abstract

Topics & Keywords

Publication Details