Loss of coherence in multidimensional minisuperspaces

In the semiclassical limit of quantum gravity, solutions to the Wheeler-DeWitt equation involve several WKB components. In order to reach the adequate classical limit these contributions should not interfere. We show here that this is in general the case. We work with a general minisuper-space model...

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Autores principales: Gangui, Alejandro, Mazzitelli, Francisco Diego, Castagnino, Mario Alberto G. J.
Publicado: 1991
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v43_n6_p1853_Gangui
http://hdl.handle.net/20.500.12110/paper_05562821_v43_n6_p1853_Gangui
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_05562821_v43_n6_p1853_Gangui
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spelling paper:paper_05562821_v43_n6_p1853_Gangui2023-06-08T15:42:10Z Loss of coherence in multidimensional minisuperspaces Gangui, Alejandro Mazzitelli, Francisco Diego Castagnino, Mario Alberto G. J. In the semiclassical limit of quantum gravity, solutions to the Wheeler-DeWitt equation involve several WKB components. In order to reach the adequate classical limit these contributions should not interfere. We show here that this is in general the case. We work with a general minisuper-space model with perturbations and we construct the reduced density matrix I(gA, gA) by tracing out all the nonrelevant modes of the environment. It turns out that not only are the off-diagonal terms of I (gA, gA) strongly suppressed but the quantum contributions to I(gA, gA) due to interference between different semiclassical solutions also vanish. As an example we discuss the particular case of the Kantowski-Sachs cosmological model. © 1991 The American Physical Society. Fil:Gangui, A. 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. Fil:Castagnino, M.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1991 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v43_n6_p1853_Gangui http://hdl.handle.net/20.500.12110/paper_05562821_v43_n6_p1853_Gangui
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description In the semiclassical limit of quantum gravity, solutions to the Wheeler-DeWitt equation involve several WKB components. In order to reach the adequate classical limit these contributions should not interfere. We show here that this is in general the case. We work with a general minisuper-space model with perturbations and we construct the reduced density matrix I(gA, gA) by tracing out all the nonrelevant modes of the environment. It turns out that not only are the off-diagonal terms of I (gA, gA) strongly suppressed but the quantum contributions to I(gA, gA) due to interference between different semiclassical solutions also vanish. As an example we discuss the particular case of the Kantowski-Sachs cosmological model. © 1991 The American Physical Society.
author Gangui, Alejandro
Mazzitelli, Francisco Diego
Castagnino, Mario Alberto G. J.
spellingShingle Gangui, Alejandro
Mazzitelli, Francisco Diego
Castagnino, Mario Alberto G. J.
Loss of coherence in multidimensional minisuperspaces
author_facet Gangui, Alejandro
Mazzitelli, Francisco Diego
Castagnino, Mario Alberto G. J.
author_sort Gangui, Alejandro
title Loss of coherence in multidimensional minisuperspaces
title_short Loss of coherence in multidimensional minisuperspaces
title_full Loss of coherence in multidimensional minisuperspaces
title_fullStr Loss of coherence in multidimensional minisuperspaces
title_full_unstemmed Loss of coherence in multidimensional minisuperspaces
title_sort loss of coherence in multidimensional minisuperspaces
publishDate 1991
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v43_n6_p1853_Gangui
http://hdl.handle.net/20.500.12110/paper_05562821_v43_n6_p1853_Gangui
work_keys_str_mv AT ganguialejandro lossofcoherenceinmultidimensionalminisuperspaces
AT mazzitellifranciscodiego lossofcoherenceinmultidimensionalminisuperspaces
AT castagninomarioalbertogj lossofcoherenceinmultidimensionalminisuperspaces
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