Gauge invariance of parametrized systems and path integral quantization
Gauge invariance of systems whose Hamilton-Jacobi equation is separable is improved by adding surface terms to the action functional. The general form of these terms is given for some complete solutions of the Hamilton-Jacobi equation. The procedure is applied to the relativistic particle and toy un...
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1999
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v14_n32_p5105_DeCicco http://hdl.handle.net/20.500.12110/paper_0217751X_v14_n32_p5105_DeCicco |
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paper:paper_0217751X_v14_n32_p5105_DeCicco2023-06-08T15:21:06Z Gauge invariance of parametrized systems and path integral quantization Simeone, Claudio Mauricio Gauge invariance of systems whose Hamilton-Jacobi equation is separable is improved by adding surface terms to the action functional. The general form of these terms is given for some complete solutions of the Hamilton-Jacobi equation. The procedure is applied to the relativistic particle and toy universes, which are quantized by imposing canonical gauge conditions in the path integral; in the case of empty models, we first quantize the parametrized system called "ideal clock," and then we examine the possibility of obtaining the amplitude for the minisuperspaces by matching them with the ideal clock. The relation existing between the geometrical properties of the constraint surface and the variables identifying the quantum states in the path integral is discussed. Fil:Simeone, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1999 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v14_n32_p5105_DeCicco http://hdl.handle.net/20.500.12110/paper_0217751X_v14_n32_p5105_DeCicco |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
Gauge invariance of systems whose Hamilton-Jacobi equation is separable is improved by adding surface terms to the action functional. The general form of these terms is given for some complete solutions of the Hamilton-Jacobi equation. The procedure is applied to the relativistic particle and toy universes, which are quantized by imposing canonical gauge conditions in the path integral; in the case of empty models, we first quantize the parametrized system called "ideal clock," and then we examine the possibility of obtaining the amplitude for the minisuperspaces by matching them with the ideal clock. The relation existing between the geometrical properties of the constraint surface and the variables identifying the quantum states in the path integral is discussed. |
| author |
Simeone, Claudio Mauricio |
| spellingShingle |
Simeone, Claudio Mauricio Gauge invariance of parametrized systems and path integral quantization |
| author_facet |
Simeone, Claudio Mauricio |
| author_sort |
Simeone, Claudio Mauricio |
| title |
Gauge invariance of parametrized systems and path integral quantization |
| title_short |
Gauge invariance of parametrized systems and path integral quantization |
| title_full |
Gauge invariance of parametrized systems and path integral quantization |
| title_fullStr |
Gauge invariance of parametrized systems and path integral quantization |
| title_full_unstemmed |
Gauge invariance of parametrized systems and path integral quantization |
| title_sort |
gauge invariance of parametrized systems and path integral quantization |
| publishDate |
1999 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v14_n32_p5105_DeCicco http://hdl.handle.net/20.500.12110/paper_0217751X_v14_n32_p5105_DeCicco |
| work_keys_str_mv |
AT simeoneclaudiomauricio gaugeinvarianceofparametrizedsystemsandpathintegralquantization |
| _version_ |
1768543226639155200 |