Global portraits of inflation in nonsingular variables

Abstract In the phase space perspective, scalar field slow roll inflation is described by a heteroclinic orbit from a saddle type fixed point to a final attractive point. In many models the saddle point resides in the scalar field asymptotics, and thus for a comprehensive view of the dynamics a glob...

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Main Authors: Laur Järv, Dmitri Kraiko
Format: Article
Language:English
Published: SpringerOpen 2025-06-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-14411-7
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author Laur Järv
Dmitri Kraiko
author_facet Laur Järv
Dmitri Kraiko
author_sort Laur Järv
collection DOAJ
description Abstract In the phase space perspective, scalar field slow roll inflation is described by a heteroclinic orbit from a saddle type fixed point to a final attractive point. In many models the saddle point resides in the scalar field asymptotics, and thus for a comprehensive view of the dynamics a global phase portrait is necessary. For this task, in the literature one mostly encounters dynamical variables that either render the initial or the final state singular, thus obscuring the full picture. In this work we construct a hybrid set of variables which allow the depiction of both the initial and final states distinctly in nonsingular manner. To illustrate the method, we apply these variables to portray various interesting types of scalar field inflationary models like metric Higgs inflation, metric Starobinsky inflation, pole inflation, and a nonminimal Palatini model.
format Article
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institution Kabale University
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publishDate 2025-06-01
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record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-79278b8efa1f464a8b847c3fe72f07a52025-08-20T03:37:40ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-06-0185612210.1140/epjc/s10052-025-14411-7Global portraits of inflation in nonsingular variablesLaur Järv0Dmitri Kraiko1Institute of Physics, University of TartuInstitute of Physics, University of TartuAbstract In the phase space perspective, scalar field slow roll inflation is described by a heteroclinic orbit from a saddle type fixed point to a final attractive point. In many models the saddle point resides in the scalar field asymptotics, and thus for a comprehensive view of the dynamics a global phase portrait is necessary. For this task, in the literature one mostly encounters dynamical variables that either render the initial or the final state singular, thus obscuring the full picture. In this work we construct a hybrid set of variables which allow the depiction of both the initial and final states distinctly in nonsingular manner. To illustrate the method, we apply these variables to portray various interesting types of scalar field inflationary models like metric Higgs inflation, metric Starobinsky inflation, pole inflation, and a nonminimal Palatini model.https://doi.org/10.1140/epjc/s10052-025-14411-7
spellingShingle Laur Järv
Dmitri Kraiko
Global portraits of inflation in nonsingular variables
European Physical Journal C: Particles and Fields
title Global portraits of inflation in nonsingular variables
title_full Global portraits of inflation in nonsingular variables
title_fullStr Global portraits of inflation in nonsingular variables
title_full_unstemmed Global portraits of inflation in nonsingular variables
title_short Global portraits of inflation in nonsingular variables
title_sort global portraits of inflation in nonsingular variables
url https://doi.org/10.1140/epjc/s10052-025-14411-7
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AT dmitrikraiko globalportraitsofinflationinnonsingularvariables