Stochastic inflation in the Constant Roll regime

Màster Oficial d'Astrofísica, Física de Partícules i Cosmologia, Facultat de Física, Universitat de Barcelona. Curs: 2022-2023. Tutor: Cristiano Germani

Detalhes bibliográficos
Autor: Tuells Miralles, Daniel
Formato: tesis de maestría
Fecha de publicación:2023
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/202291
Acesso em linha:https://hdl.handle.net/2445/202291
Access Level:acceso abierto
Palavra-chave:Inflació còsmica
Fluctuacions (Física)
Pertorbació
Treballs de fi de màster
Inflation (Cosmology)
Fluctuations (Physics)
Perturbation
Master's thesis
id ES_ceef2c85c8f77d45a6adc0c1b149af0c
oai_identifier_str oai:diposit.ub.edu:2445/202291
network_acronym_str ES
network_name_str España
repository_id_str
spelling Stochastic inflation in the Constant Roll regimeTuells Miralles, DanielInflació còsmicaFluctuacions (Física)PertorbacióTreballs de fi de màsterInflation (Cosmology)Fluctuations (Physics)PerturbationMaster's thesisMàster Oficial d'Astrofísica, Física de Partícules i Cosmologia, Facultat de Física, Universitat de Barcelona. Curs: 2022-2023. Tutor: Cristiano GermaniWe investigate the inhomogeneities generated during the inflationary epoch from the point of view of the stochastic formalism, which attempts to transform a problem of quantum fluctuations into a statistical one. The formalism, that we derive in the text, is based on the use of the Arnowitt-Deser-Misner (ADM) equations, which are convenient to describe inhomogeneities in the context of inflation, as well as gradient expansion, which works at zeroth order in spatial gradients but at all orders in the amplitudes of the fluctuations, and is therefore intended to capture non-perturbative effects. Finally, the perturbations are split into long- and short-wavelength modes, where the latter act as a stochastic noise for the former when crossing a certain scale. We demonstrate that the use of certain approximations in the derivation of this formalism, which are intended to make the system of stochastic differential equations (SDEs) Markovian and described with white noises, causes the method to become restricted to the reproduction of Linear Perturbation Theory (LPT). This framework, nonetheless, is still useful since it can be used as a test for the validity of the linear approximation, signalling the coming into play of non-perturbative effects. Specifically, we solve the system of SDEs numerically for the Constant Roll (CR) inflationary scenario, and show that this regime is in accordance with LPT.Germani, Cristiano2023info:eu-repo/semantics/masterThesisapplication/pdfhttps://hdl.handle.net/2445/202291Màster Oficial - Astrofísica, Física de Partícules i Cosmologiareponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaIngléscc-by-nc-nd (c) Tuells, 2023http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/2022912026-05-27T06:46:51Z
dc.title.none.fl_str_mv Stochastic inflation in the Constant Roll regime
title Stochastic inflation in the Constant Roll regime
spellingShingle Stochastic inflation in the Constant Roll regime
Tuells Miralles, Daniel
Inflació còsmica
Fluctuacions (Física)
Pertorbació
Treballs de fi de màster
Inflation (Cosmology)
Fluctuations (Physics)
Perturbation
Master's thesis
title_short Stochastic inflation in the Constant Roll regime
title_full Stochastic inflation in the Constant Roll regime
title_fullStr Stochastic inflation in the Constant Roll regime
title_full_unstemmed Stochastic inflation in the Constant Roll regime
title_sort Stochastic inflation in the Constant Roll regime
dc.creator.none.fl_str_mv Tuells Miralles, Daniel
author Tuells Miralles, Daniel
author_facet Tuells Miralles, Daniel
author_role author
dc.contributor.none.fl_str_mv Germani, Cristiano
dc.subject.none.fl_str_mv Inflació còsmica
Fluctuacions (Física)
Pertorbació
Treballs de fi de màster
Inflation (Cosmology)
Fluctuations (Physics)
Perturbation
Master's thesis
topic Inflació còsmica
Fluctuacions (Física)
Pertorbació
Treballs de fi de màster
Inflation (Cosmology)
Fluctuations (Physics)
Perturbation
Master's thesis
description Màster Oficial d'Astrofísica, Física de Partícules i Cosmologia, Facultat de Física, Universitat de Barcelona. Curs: 2022-2023. Tutor: Cristiano Germani
publishDate 2023
dc.date.none.fl_str_mv 2023
dc.type.none.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/202291
url https://hdl.handle.net/2445/202291
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv cc-by-nc-nd (c) Tuells, 2023
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by-nc-nd (c) Tuells, 2023
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Màster Oficial - Astrofísica, Física de Partícules i Cosmologia
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869420036493410304
score 15,301603

Registos relacionados