Report/Journal Article

PUBDB-2017-07217

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Covariant canonical quantization

von Hippel, G. M. (Corresponding author) ; Wohlfarth, M. N. R.

2006
Springer Berlin

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Please use a persistent id in citations: doi:10.1140/epjc/s2006-02595-5

Report No.: ZMP-HH-05-18; hep-th/0509199

Abstract: 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.

Keyword(s): quantization ; Hamiltonian formalism ; invariance: Lorentz ; fermion ; operator: algebra ; Klein-Gordon equation

Note: Forschung Hochenergiephysik; Theorie

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Contributing Institute(s):

1. DESY Retrocat (DESY(-2012))

Research Program(s):

1. 899 - ohne Topic (POF3-899) (POF3-899)

Experiment(s):

1. No specific instrument

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Database coverage:
; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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