On (dis)agreement between different methods of calculation of the imaginary part of the effective action in expanding space-times

We consider two approaches to calculate imaginary parts of effective actions in expanding space-times. While the first approach uses Bogolyubov coefficients, the second one uses the functional integral or the Feynman propagator. In eternally expanding space-times these two approaches give different...

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Main Authors: E.T. Akhmedov, I.A. Belkovich, D.V. Diakonov, K.A. Kazarnovskii
Format: Article
Language:English
Published: Elsevier 2025-02-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269325000164
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author E.T. Akhmedov
I.A. Belkovich
D.V. Diakonov
K.A. Kazarnovskii
author_facet E.T. Akhmedov
I.A. Belkovich
D.V. Diakonov
K.A. Kazarnovskii
author_sort E.T. Akhmedov
collection DOAJ
description We consider two approaches to calculate imaginary parts of effective actions in expanding space-times. While the first approach uses Bogolyubov coefficients, the second one uses the functional integral or the Feynman propagator. In eternally expanding space-times these two approaches give different answers for the imaginary parts. The origin of the difference can be traced to the presence if the wave-functionals for the initial and final states in the functional integral. We show this explicitly on the example of the expanding Poincare patch of the de Sitter space-time.
format Article
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institution Kabale University
issn 0370-2693
language English
publishDate 2025-02-01
publisher Elsevier
record_format Article
series Physics Letters B
spelling doaj-art-89a5d88efd224ba7b382ffa402e95e112025-02-10T04:33:54ZengElsevierPhysics Letters B0370-26932025-02-01861139256On (dis)agreement between different methods of calculation of the imaginary part of the effective action in expanding space-timesE.T. Akhmedov0I.A. Belkovich1D.V. Diakonov2K.A. Kazarnovskii3Institutskii per, 9, Moscow Institute of Physics and Technology, 141700, Dolgoprudny, Russia; Academician Kurchatov Square, 1, NRC “Kurchatov Institute”, 123182, Moscow, RussiaInstitutskii per, 9, Moscow Institute of Physics and Technology, 141700, Dolgoprudny, RussiaInstitutskii per, 9, Moscow Institute of Physics and Technology, 141700, Dolgoprudny, Russia; Bol'shoi Karetnyi per., 19, Institute for Information Transmission Problems, 127994, Moscow, Russia; Corresponding author.Institutskii per, 9, Moscow Institute of Physics and Technology, 141700, Dolgoprudny, RussiaWe consider two approaches to calculate imaginary parts of effective actions in expanding space-times. While the first approach uses Bogolyubov coefficients, the second one uses the functional integral or the Feynman propagator. In eternally expanding space-times these two approaches give different answers for the imaginary parts. The origin of the difference can be traced to the presence if the wave-functionals for the initial and final states in the functional integral. We show this explicitly on the example of the expanding Poincare patch of the de Sitter space-time.http://www.sciencedirect.com/science/article/pii/S0370269325000164
spellingShingle E.T. Akhmedov
I.A. Belkovich
D.V. Diakonov
K.A. Kazarnovskii
On (dis)agreement between different methods of calculation of the imaginary part of the effective action in expanding space-times
Physics Letters B
title On (dis)agreement between different methods of calculation of the imaginary part of the effective action in expanding space-times
title_full On (dis)agreement between different methods of calculation of the imaginary part of the effective action in expanding space-times
title_fullStr On (dis)agreement between different methods of calculation of the imaginary part of the effective action in expanding space-times
title_full_unstemmed On (dis)agreement between different methods of calculation of the imaginary part of the effective action in expanding space-times
title_short On (dis)agreement between different methods of calculation of the imaginary part of the effective action in expanding space-times
title_sort on dis agreement between different methods of calculation of the imaginary part of the effective action in expanding space times
url http://www.sciencedirect.com/science/article/pii/S0370269325000164
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