Path integral for the relativistic particle in curved space
The propagator for a single relativistic particle in a (D+1)-dimensional curved background is obtained by evaluating the canonical path integral in the true 2D-dimensional phase space. Since only paths moving forward in time are integrated, the resulting propagator depends on how the time is chosen;...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_05562821_v45_n4_p1198_Ferraro |
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todo:paper_05562821_v45_n4_p1198_Ferraro2023-10-03T15:35:24Z Path integral for the relativistic particle in curved space Ferraro, R. The propagator for a single relativistic particle in a (D+1)-dimensional curved background is obtained by evaluating the canonical path integral in the true 2D-dimensional phase space. Since only paths moving forward in time are integrated, the resulting propagator depends on how the time is chosen; i.e., it depends on the reference system. In order for the propagator to satisfy the properties of a unitary theory, the time must be attached to a Killing vector. Although the measure is unique (it is the Liouville measure), the skeletonization of the phase-space functional action is ambiguous. One such ambiguity is exploited to obtain different propagators obeying the Klein-Gordon equation with different couplings to quantities related to the shape of the reference system (spatial curvature, etc.). © 1992 The American Physical Society. Fil:Ferraro, R. 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_05562821_v45_n4_p1198_Ferraro |
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Universidad de Buenos Aires |
| institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
The propagator for a single relativistic particle in a (D+1)-dimensional curved background is obtained by evaluating the canonical path integral in the true 2D-dimensional phase space. Since only paths moving forward in time are integrated, the resulting propagator depends on how the time is chosen; i.e., it depends on the reference system. In order for the propagator to satisfy the properties of a unitary theory, the time must be attached to a Killing vector. Although the measure is unique (it is the Liouville measure), the skeletonization of the phase-space functional action is ambiguous. One such ambiguity is exploited to obtain different propagators obeying the Klein-Gordon equation with different couplings to quantities related to the shape of the reference system (spatial curvature, etc.). © 1992 The American Physical Society. |
| format |
JOUR |
| author |
Ferraro, R. |
| spellingShingle |
Ferraro, R. Path integral for the relativistic particle in curved space |
| author_facet |
Ferraro, R. |
| author_sort |
Ferraro, R. |
| title |
Path integral for the relativistic particle in curved space |
| title_short |
Path integral for the relativistic particle in curved space |
| title_full |
Path integral for the relativistic particle in curved space |
| title_fullStr |
Path integral for the relativistic particle in curved space |
| title_full_unstemmed |
Path integral for the relativistic particle in curved space |
| title_sort |
path integral for the relativistic particle in curved space |
| url |
http://hdl.handle.net/20.500.12110/paper_05562821_v45_n4_p1198_Ferraro |
| work_keys_str_mv |
AT ferraror pathintegralfortherelativisticparticleincurvedspace |
| _version_ |
1807316354576941056 |