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, A., Mazzitelli, F.D., Castagnino, M.A.
Formato: JOUR
Acceso en línea: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
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spelling todo:paper_05562821_v43_n6_p1853_Gangui2023-10-03T15:35:22Z Loss of coherence in multidimensional minisuperspaces Gangui, A. Mazzitelli, F.D. Castagnino, M.A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format JOUR
author Gangui, A.
Mazzitelli, F.D.
Castagnino, M.A.
spellingShingle Gangui, A.
Mazzitelli, F.D.
Castagnino, M.A.
Loss of coherence in multidimensional minisuperspaces
author_facet Gangui, A.
Mazzitelli, F.D.
Castagnino, M.A.
author_sort Gangui, A.
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
url http://hdl.handle.net/20.500.12110/paper_05562821_v43_n6_p1853_Gangui
work_keys_str_mv AT ganguia lossofcoherenceinmultidimensionalminisuperspaces
AT mazzitellifd lossofcoherenceinmultidimensionalminisuperspaces
AT castagninoma lossofcoherenceinmultidimensionalminisuperspaces
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