%0 Journal Article
%A von Hippel, Georg M.
%A Wohlfarth, Mattias N. R.
%T Covariant canonical quantization
%J The European physical journal / C
%V 47
%N 3
%@ 1434-6052
%C Berlin
%I Springer
%M PUBDB-2017-07217
%M hep-th/0509199
%M ZMP-HH-05-18
%P 861 - 872
%D 2006
%Z Forschung Hochenergiephysik; Theorie
%X We 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.
%K quantization (INSPIRE)
%K Hamiltonian formalism (INSPIRE)
%K invariance: Lorentz (INSPIRE)
%K fermion (INSPIRE)
%K operator: algebra (INSPIRE)
%K Klein-Gordon equation (INSPIRE)
%F PUB:(DE-HGF)29 ; PUB:(DE-HGF)16
%9 ReportJournal Article
%U <Go to ISI:>//WOS:000241559900025
%R 10.1140/epjc/s2006-02595-5
%U https://bib-pubdb1.desy.de/record/330769