Gauge invariance of parametrized systems and path integral quantization

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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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Autores principales: De Cicco, H., Simeone, C.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0217751X_v14_n32_p5105_DeCicco
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_0217751X_v14_n32_p5105_DeCicco2023-10-03T15:10:31Z Gauge invariance of parametrized systems and path integral quantization De Cicco, H. Simeone, C. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format JOUR
author De Cicco, H.
Simeone, C.
spellingShingle De Cicco, H.
Simeone, C.
Gauge invariance of parametrized systems and path integral quantization
author_facet De Cicco, H.
Simeone, C.
author_sort De Cicco, H.
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
url http://hdl.handle.net/20.500.12110/paper_0217751X_v14_n32_p5105_DeCicco
work_keys_str_mv AT deciccoh gaugeinvarianceofparametrizedsystemsandpathintegralquantization
AT simeonec gaugeinvarianceofparametrizedsystemsandpathintegralquantization
_version_ 1807315589354487808

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