Influence functional in two-dimensional dilaton gravity
We evaluate the influence functional for two-dimensional models of dilaton gravity. This functional is exactly computed when conformal invariance is preserved, and it can be written as the difference between the Liouville actions on each closed-time-path branch plus a boundary term. From the influen...
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todo:paper_15507998_v58_n2_p10_Lombardo2023-10-03T16:23:37Z Influence functional in two-dimensional dilaton gravity Lombardo, F. Mazzitelli, F. We evaluate the influence functional for two-dimensional models of dilaton gravity. This functional is exactly computed when conformal invariance is preserved, and it can be written as the difference between the Liouville actions on each closed-time-path branch plus a boundary term. From the influence action we derive the covariant form of the semiclassical field equations. We also study the quantum to classical transition in cosmological backgrounds. In the conformal case we show that the semiclassical approximation is not valid because there is no imaginary part in the influence action. Finally we show that the inclusion of the dilaton loop in the influence functional breaks conformal invariance and ensures the validity of the semiclassical approximation. © 1998 The American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15507998_v58_n2_p10_Lombardo |
| institution |
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 |
We evaluate the influence functional for two-dimensional models of dilaton gravity. This functional is exactly computed when conformal invariance is preserved, and it can be written as the difference between the Liouville actions on each closed-time-path branch plus a boundary term. From the influence action we derive the covariant form of the semiclassical field equations. We also study the quantum to classical transition in cosmological backgrounds. In the conformal case we show that the semiclassical approximation is not valid because there is no imaginary part in the influence action. Finally we show that the inclusion of the dilaton loop in the influence functional breaks conformal invariance and ensures the validity of the semiclassical approximation. © 1998 The American Physical Society. |
| format |
JOUR |
| author |
Lombardo, F. Mazzitelli, F. |
| spellingShingle |
Lombardo, F. Mazzitelli, F. Influence functional in two-dimensional dilaton gravity |
| author_facet |
Lombardo, F. Mazzitelli, F. |
| author_sort |
Lombardo, F. |
| title |
Influence functional in two-dimensional dilaton gravity |
| title_short |
Influence functional in two-dimensional dilaton gravity |
| title_full |
Influence functional in two-dimensional dilaton gravity |
| title_fullStr |
Influence functional in two-dimensional dilaton gravity |
| title_full_unstemmed |
Influence functional in two-dimensional dilaton gravity |
| title_sort |
influence functional in two-dimensional dilaton gravity |
| url |
http://hdl.handle.net/20.500.12110/paper_15507998_v58_n2_p10_Lombardo |
| work_keys_str_mv |
AT lombardof influencefunctionalintwodimensionaldilatongravity AT mazzitellif influencefunctionalintwodimensionaldilatongravity |
| _version_ |
1782024365011894272 |