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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todo:paper_00222488_v38_n2_p599_Ferraro2023-10-03T14:29:41Z Canonical gauges in the path integral for parametrized systems 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. JOUR 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 |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (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 |
JOUR |
| 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 |
| 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_ |
1807321722573029376 |