Covariant canonical quantization
- Publication type:
- Journal article
- Metadata:
-
- Autoren
- GM von Hippel
- MNR Wohlfarth
- Autoren-URL
- https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000241559900025&DestLinkType=FullRecord&DestApp=WOS_CPL
- DOI
- 10.1140/epjc/s2006-02595-5
- eISSN
- 1434-6052
- Externe Identifier
- Clarivate Analytics Document Solution ID: 098YO
- ISSN
- 1434-6044
- Ausgabe der Veröffentlichung
- 3
- Zeitschrift
- EUROPEAN PHYSICAL JOURNAL C
- Paginierung
- 861 - 872
- Datum der Veröffentlichung
- 2006
- Status
- Published
- Titel
- Covariant canonical quantization
- Sub types
- Article
- Ausgabe der Zeitschrift
- 47
Data source: Web of Science (Lite)
- Other metadata sources:
-
- Autoren
- GM von Hippel
- MNR Wohlfarth
- DOI
- 10.1140/epjc/s2006-02595-5
- eISSN
- 1434-6052
- ISSN
- 1434-6044
- Ausgabe der Veröffentlichung
- 3
- Zeitschrift
- The European Physical Journal C
- Sprache
- en
- Online publication date
- 2006
- Paginierung
- 861 - 872
- Datum der Veröffentlichung
- 2006
- Status
- Published
- Herausgeber
- Springer Science and Business Media LLC
- Herausgeber URL
- http://dx.doi.org/10.1140/epjc/s2006-02595-5
- Datum der Datenerfassung
- 2019
- Titel
- Covariant canonical quantization
- Ausgabe der Zeitschrift
- 47
Data source: Crossref
- 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.
- Autoren
- Georg M von Hippel
- Mattias NR Wohlfarth
- Autoren-URL
- http://arxiv.org/abs/hep-th/0509199v2
- Zeitschrift
- Eur.Phys.J.C
- Schlüsselwörter
- hep-th
- hep-th
- Notes
- 27 pages, REVTeX4, revised version
- Paginierung
- 861 - 872
- Datum der Veröffentlichung
- 2005
- Herausgeber URL
- http://dx.doi.org/10.1140/epjc/s2006-02595-5
- Datum der Datenerfassung
- 2005
- Datum, an dem der Datensatz öffentlich gemacht wurde
- 2005
- Titel
- Covariant canonical quantization
- Ausgabe der Zeitschrift
- 47
Files
0509199v2.pdf
Data source: arXiv
- Beziehungen:
- Property of