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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Publicado: 1998
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v58_n2_p10_Lombardo
http://hdl.handle.net/20.500.12110/paper_15507998_v58_n2_p10_Lombardo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15507998_v58_n2_p10_Lombardo
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spelling paper:paper_15507998_v58_n2_p10_Lombardo2023-06-08T16:21:40Z 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 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. 1998 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v58_n2_p10_Lombardo http://hdl.handle.net/20.500.12110/paper_15507998_v58_n2_p10_Lombardo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection 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.
title Influence functional in two-dimensional dilaton gravity
spellingShingle 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
publishDate 1998
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v58_n2_p10_Lombardo
http://hdl.handle.net/20.500.12110/paper_15507998_v58_n2_p10_Lombardo
_version_ 1768546038796255232

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