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Lookup NU author(s): Professor David Toms
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The method for quantization of constrained theories that was suggested originally by Faddeev and Jackiw along with later modifications is discussed. The particular emphasis of this paper is to show how it is simple to implement their method within the path integral framework using the natural geometric structure that their method utilizes. The procedure is exemplified with the analysis of two models: a quantum mechanical particle constrained to a surface (of which the hypersphere is a special case), and a quantized Schrodinger field interacting with a quantized vector field for both the massive and the massless cases. The results are shown to agree with what is found using the Dirac method for constrained path integrals. We comment on a previous path integral analysis of the Faddeev-Jackiw method. We also discuss why a previous criticism of the Faddeev-Jackiw method is unfounded and why suggested modifications of their method are unnecessary.
Author(s): Toms DJ
Publication type: Article
Publication status: Published
Journal: Physical Review D
Year: 2015
Volume: 92
Issue: 10
Online publication date: 19/11/2015
Acceptance date: 01/01/1900
ISSN (print): 1550-7998
ISSN (electronic): 1550-2368
Publisher: American Physical Society
URL: http://dx.doi.org/10.1103/PhysRevD.92.105026
DOI: 10.1103/PhysRevD.92.105026
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