Covariant canonical quantization

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dc.creatorvon Hippel, Georg M.
dc.creatorWohlfarth, Mattias N. R.
dc.date2005-09-27
dc.date2006-06-09
dc.date.accessioned2026-07-07T12:25:31Z
dc.date.available2026-07-07T12:25:31Z
dc.descriptionWe present a manifestly covariant quantization procedure based on the de Donder--Weyl Hamiltonian formulation of classical field theory. This procedure agrees with conventional canonical quantization only if the parameter space is $d=1$ dimensional time. In $d>1$ dimensions, covariant canonical quantization requires a fundamental length scale, and any bosonic field generates a spinorial wave function, leading to the emergence of spinors as a byproduct of quantization. We provide a probabilistic interpretation of the wave functions for the fields, and apply the formalism to a number of simple examples. These show that covariant canonical quantization produces both the Klein-Gordon and the Dirac equation, while also predicting the existence of discrete towers of identically charged fermions with different masses. Covariant canonical quantization can thus be understood as a `first' or pre-quantization within the framework of conventional QFT.
dc.description27 pages, REVTeX4, revised version
dc.identifierhttps://arxiv.org/abs/hep-th/0509199
dc.identifierhttp://arxiv.org/abs/hep-th/0509199
dc.identifierEur.Phys.J.C47:861-872,2006
dc.identifierdoi:10.1140/epjc/s2006-02595-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214632
dc.subjectHigh Energy Physics - Theory
dc.titleCovariant canonical quantization
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