Reducible representations of CAR and CCR with possible applications to field quantization
High Energy Physics - Theory
2015-06-26 v3
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.
Keywords
Cite
@article{arxiv.hep-th/0304144,
title = {Reducible representations of CAR and CCR with possible applications to field quantization},
author = {Marek Czachor},
journal= {arXiv preprint arXiv:hep-th/0304144},
year = {2015}
}
Comments
Contribution to "New ideas in quantization", XXI Workshop on Geometric Methods in Physics, Bialowieza 2002, proceedings to be published in J. Nonlin. Math. Phys., jnmp.cls style package included, reference [3] updated