Canonical gauges in the path integral for parametrized systems

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It is well known that - differing from ordinary gauge systems - canonical gauges are not admissible in the path integral for parametrized systems. This is the case for the relativistic particle and gravitation However, a time dependent canonical transformation can turn a parametrized system into an...

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Autores principales: Ferraro, R., Simeone, C.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 1997
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00222488_v38_n2_p599_Ferraro
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paperaa:paper_00222488_v38_n2_p599_Ferraro2023-06-12T16:44:31Z Canonical gauges in the path integral for parametrized systems J. Math. Phys. 1997;38(2):599-610 Ferraro, R. Simeone, C. It is well known that - differing from ordinary gauge systems - canonical gauges are not admissible in the path integral for parametrized systems. This is the case for the relativistic particle and gravitation However, a time dependent canonical transformation can turn a parametrized system into an ordinary gauge system. It is shown how to build a canonical transformation such that the fixation of the new coordinates is equivalent to the fixation of the original ones; this aim can be achieved only if the Hamiltonian constraint allows for an intrinsic global time. Thus the resulting action, describing an ordinary gauge system and allowing for canonical gauges, can be used in the path integral for the quantum propagator associated with the original variables. © 1997 American Institute of Physics. Fil:Ferraro, R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Simeone, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1997 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00222488_v38_n2_p599_Ferraro
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
description It is well known that - differing from ordinary gauge systems - canonical gauges are not admissible in the path integral for parametrized systems. This is the case for the relativistic particle and gravitation However, a time dependent canonical transformation can turn a parametrized system into an ordinary gauge system. It is shown how to build a canonical transformation such that the fixation of the new coordinates is equivalent to the fixation of the original ones; this aim can be achieved only if the Hamiltonian constraint allows for an intrinsic global time. Thus the resulting action, describing an ordinary gauge system and allowing for canonical gauges, can be used in the path integral for the quantum propagator associated with the original variables. © 1997 American Institute of Physics.
format Artículo
Artículo
publishedVersion
author Ferraro, R.
Simeone, C.
spellingShingle Ferraro, R.
Simeone, C.
Canonical gauges in the path integral for parametrized systems
author_facet Ferraro, R.
Simeone, C.
author_sort Ferraro, R.
title Canonical gauges in the path integral for parametrized systems
title_short Canonical gauges in the path integral for parametrized systems
title_full Canonical gauges in the path integral for parametrized systems
title_fullStr Canonical gauges in the path integral for parametrized systems
title_full_unstemmed Canonical gauges in the path integral for parametrized systems
title_sort canonical gauges in the path integral for parametrized systems
publishDate 1997
url http://hdl.handle.net/20.500.12110/paper_00222488_v38_n2_p599_Ferraro
work_keys_str_mv AT ferraror canonicalgaugesinthepathintegralforparametrizedsystems
AT simeonec canonicalgaugesinthepathintegralforparametrizedsystems
_version_ 1769810323194249216

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