Canonical gauges in the path integral for parametrized systems
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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1997
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00222488_v38_n2_p599_Ferraro https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00222488_v38_n2_p599_Ferraro_oai |
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I28-R145-paper_00222488_v38_n2_p599_Ferraro_oai2024-08-16 Ferraro, R. Simeone, C. 1997 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. application/pdf http://hdl.handle.net/20.500.12110/paper_00222488_v38_n2_p599_Ferraro info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Math. Phys. 1997;38(2):599-610 Canonical gauges in the path integral for parametrized systems info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00222488_v38_n2_p599_Ferraro_oai |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (UBA) |
| 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 https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00222488_v38_n2_p599_Ferraro_oai |
| work_keys_str_mv |
AT ferraror canonicalgaugesinthepathintegralforparametrizedsystems AT simeonec canonicalgaugesinthepathintegralforparametrizedsystems |
| _version_ |
1809356791979442176 |