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.
Documento: | Artículo |
Título: | Canonical gauges in the path integral for parametrized systems |
Autor: | Ferraro, R.; Simeone, C. |
Filiación: | Departamento de Física, Universidad de Buenos Aires, Cd. Universitaria-Pabellón I, 1428 Buenos Aires, Argentina Inst. Astronomia y Fis. del Espacio, Casilla de Correo 67-Sucursal 28, 1428 Buenos Aires, Argentina |
Año: | 1997 |
Volumen: | 38 |
Número: | 2 |
Página de inicio: | 599 |
Página de fin: | 610 |
DOI: | http://dx.doi.org/10.1063/1.532006 |
Título revista: | Journal of Mathematical Physics |
Título revista abreviado: | J. Math. Phys. |
ISSN: | 00222488 |
PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00222488_v38_n2_p599_Ferraro.pdf |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v38_n2_p599_Ferraro |