Oscillating scalar dissipating in a medium

Abstract We study how oscillations of a scalar field condensate are damped due to dissipative effects in a thermal medium. Our starting point is a non-linear and non-local condensate equation of motion descending from a 2PI-resummed effective action derived in the Schwinger-Keldysh formalism appropr...

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Autores principales:	Wen-Yuan Ai, Marco Drewes, Dražen Glavan, Jan Hajer
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Quantum Dissipative Systems Thermal Field Theory Cosmology of Theories beyond the SM Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/77d3c45f8e0742ccb1420d143fd4a3bb
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spelling	oai:doaj.org-article:77d3c45f8e0742ccb1420d143fd4a3bb2021-11-28T12:40:36ZOscillating scalar dissipating in a medium10.1007/JHEP11(2021)1601029-8479https://doaj.org/article/77d3c45f8e0742ccb1420d143fd4a3bb2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)160https://doaj.org/toc/1029-8479Abstract We study how oscillations of a scalar field condensate are damped due to dissipative effects in a thermal medium. Our starting point is a non-linear and non-local condensate equation of motion descending from a 2PI-resummed effective action derived in the Schwinger-Keldysh formalism appropriate for non-equilibrium quantum field theory. We solve this non-local equation by means of multiple-scale perturbation theory appropriate for time-dependent systems, obtaining approximate analytic solutions valid for very long times. The non-linear effects lead to power-law damping of oscillations, that at late times transition to exponentially damped ones characteristic for linear systems. These solutions describe the evolution very well, as we demonstrate numerically in a number of examples. We then approximate the non-local equation of motion by a Markovianised one, resolving the ambiguities appearing in the process, and solve it utilizing the same methods to find the very same leading approximate solution. This comparison justifies the use of Markovian equations at leading order. The standard time-dependent perturbation theory in comparison is not capable of describing the non-linear condensate evolution beyond the early time regime of negligible damping. The macroscopic evolution of the condensate is interpreted in terms of microphysical particle processes. Our results have implications for the quantitative description of the decay of cosmological scalar fields in the early Universe, and may also be applied to other physical systems.Wen-Yuan AiMarco DrewesDražen GlavanJan HajerSpringerOpenarticleQuantum Dissipative SystemsThermal Field TheoryCosmology of Theories beyond the SMNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-54 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Quantum Dissipative Systems Thermal Field Theory Cosmology of Theories beyond the SM Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Quantum Dissipative Systems Thermal Field Theory Cosmology of Theories beyond the SM Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Wen-Yuan Ai Marco Drewes Dražen Glavan Jan Hajer Oscillating scalar dissipating in a medium
description	Abstract We study how oscillations of a scalar field condensate are damped due to dissipative effects in a thermal medium. Our starting point is a non-linear and non-local condensate equation of motion descending from a 2PI-resummed effective action derived in the Schwinger-Keldysh formalism appropriate for non-equilibrium quantum field theory. We solve this non-local equation by means of multiple-scale perturbation theory appropriate for time-dependent systems, obtaining approximate analytic solutions valid for very long times. The non-linear effects lead to power-law damping of oscillations, that at late times transition to exponentially damped ones characteristic for linear systems. These solutions describe the evolution very well, as we demonstrate numerically in a number of examples. We then approximate the non-local equation of motion by a Markovianised one, resolving the ambiguities appearing in the process, and solve it utilizing the same methods to find the very same leading approximate solution. This comparison justifies the use of Markovian equations at leading order. The standard time-dependent perturbation theory in comparison is not capable of describing the non-linear condensate evolution beyond the early time regime of negligible damping. The macroscopic evolution of the condensate is interpreted in terms of microphysical particle processes. Our results have implications for the quantitative description of the decay of cosmological scalar fields in the early Universe, and may also be applied to other physical systems.
format	article
author	Wen-Yuan Ai Marco Drewes Dražen Glavan Jan Hajer
author_facet	Wen-Yuan Ai Marco Drewes Dražen Glavan Jan Hajer
author_sort	Wen-Yuan Ai
title	Oscillating scalar dissipating in a medium
title_short	Oscillating scalar dissipating in a medium
title_full	Oscillating scalar dissipating in a medium
title_fullStr	Oscillating scalar dissipating in a medium
title_full_unstemmed	Oscillating scalar dissipating in a medium
title_sort	oscillating scalar dissipating in a medium
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/77d3c45f8e0742ccb1420d143fd4a3bb
work_keys_str_mv	AT wenyuanai oscillatingscalardissipatinginamedium AT marcodrewes oscillatingscalardissipatinginamedium AT drazenglavan oscillatingscalardissipatinginamedium AT janhajer oscillatingscalardissipatinginamedium
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Oscillating scalar dissipating in a medium

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