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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Autores principales: Lombardo, Fernando César, Mazzitelli, Francisco Diego
Publicado: 1998
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v58_n2_p_Lombardo
http://hdl.handle.net/20.500.12110/paper_05562821_v58_n2_p_Lombardo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_05562821_v58_n2_p_Lombardo2023-06-08T15:42:21Z Influence functional in two-dimensional dilaton gravity Lombardo, Fernando César Mazzitelli, Francisco Diego 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. Fil:Lombardo, F.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1998 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v58_n2_p_Lombardo http://hdl.handle.net/20.500.12110/paper_05562821_v58_n2_p_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.
author Lombardo, Fernando César
Mazzitelli, Francisco Diego
spellingShingle Lombardo, Fernando César
Mazzitelli, Francisco Diego
Influence functional in two-dimensional dilaton gravity
author_facet Lombardo, Fernando César
Mazzitelli, Francisco Diego
author_sort Lombardo, Fernando César
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
publishDate 1998
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v58_n2_p_Lombardo
http://hdl.handle.net/20.500.12110/paper_05562821_v58_n2_p_Lombardo
work_keys_str_mv AT lombardofernandocesar influencefunctionalintwodimensionaldilatongravity
AT mazzitellifranciscodiego influencefunctionalintwodimensionaldilatongravity
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