Axion inflation in the strong-backreaction regime: decay of the Anber-Sorbo solution

Abstract Axion inflation coupled to Abelian gauge fields via a Chern-Simons-like term of the form ϕF F ~ $$ \phi F\overset{\sim }{F} $$ represents an attractive inflationary model with a rich phenomenology, including the production of magnetic fields, black holes, gravitational waves, and the matter...

Full description

Bibliographic Details
Main Authors: Richard von Eckardstein, Marco Peloso, Kai Schmitz, Oleksandr Sobol, Lorenzo Sorbo
Format: Article
Language:English
Published: SpringerOpen 2023-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP11(2023)183
_version_ 1797199711830016000
author Richard von Eckardstein
Marco Peloso
Kai Schmitz
Oleksandr Sobol
Lorenzo Sorbo
author_facet Richard von Eckardstein
Marco Peloso
Kai Schmitz
Oleksandr Sobol
Lorenzo Sorbo
author_sort Richard von Eckardstein
collection DOAJ
description Abstract Axion inflation coupled to Abelian gauge fields via a Chern-Simons-like term of the form ϕF F ~ $$ \phi F\overset{\sim }{F} $$ represents an attractive inflationary model with a rich phenomenology, including the production of magnetic fields, black holes, gravitational waves, and the matter-antimatter asymmetry. In this work, we focus on a particular regime of axion inflation, the so-called Anber-Sorbo (AS) solution, in which the energy loss in the gauge-field production provides the dominant source of friction for the inflaton motion. We revisit the AS solution and confirm that it is unstable. Contrary to earlier numerical works that attempted to reach the AS solution starting from a regime of weak backreaction, we perform, for the first time, a numerical evolution starting directly from the regime of strong backreaction. Our analysis strongly suggests that, at least as long as one neglects spatial inhomogeneities in the inflaton field, the AS solution has no basin of attraction, not even a very small one that might have been missed in previous numerical studies. Our analysis employs an arsenal of analytical and numerical techniques, some established and some newly introduced, including (1) linear perturbation theory along the lines of ref. [1], (2) the gradient expansion formalism (GEF) developed in ref. [2], (3) a new linearized version of the GEF, and (4) the standard mode-by-mode approach in momentum space in combination with input from the GEF. All these methods yield consistent results confirming the instability of the AS solution, which renders the dynamics of axion inflation in the strong-backreaction regime even more interesting than previously believed.
first_indexed 2024-03-09T15:32:33Z
format Article
id doaj.art-cd49900a0ed14d2ea9f8a961ce1453f4
institution Directory Open Access Journal
issn 1029-8479
language English
last_indexed 2024-04-24T07:20:06Z
publishDate 2023-11-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj.art-cd49900a0ed14d2ea9f8a961ce1453f42024-04-21T11:05:23ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231114210.1007/JHEP11(2023)183Axion inflation in the strong-backreaction regime: decay of the Anber-Sorbo solutionRichard von Eckardstein0Marco Peloso1Kai Schmitz2Oleksandr Sobol3Lorenzo Sorbo4Institute for Theoretical Physics, University of MünsterDipartimento di Fisica e Astronomia “Galileo Galilei”, Università degli Studi di PadovaInstitute for Theoretical Physics, University of MünsterInstitute for Theoretical Physics, University of MünsterAmherst Center for Fundamental Interactions, Department of Physics, University of MassachusettsAbstract Axion inflation coupled to Abelian gauge fields via a Chern-Simons-like term of the form ϕF F ~ $$ \phi F\overset{\sim }{F} $$ represents an attractive inflationary model with a rich phenomenology, including the production of magnetic fields, black holes, gravitational waves, and the matter-antimatter asymmetry. In this work, we focus on a particular regime of axion inflation, the so-called Anber-Sorbo (AS) solution, in which the energy loss in the gauge-field production provides the dominant source of friction for the inflaton motion. We revisit the AS solution and confirm that it is unstable. Contrary to earlier numerical works that attempted to reach the AS solution starting from a regime of weak backreaction, we perform, for the first time, a numerical evolution starting directly from the regime of strong backreaction. Our analysis strongly suggests that, at least as long as one neglects spatial inhomogeneities in the inflaton field, the AS solution has no basin of attraction, not even a very small one that might have been missed in previous numerical studies. Our analysis employs an arsenal of analytical and numerical techniques, some established and some newly introduced, including (1) linear perturbation theory along the lines of ref. [1], (2) the gradient expansion formalism (GEF) developed in ref. [2], (3) a new linearized version of the GEF, and (4) the standard mode-by-mode approach in momentum space in combination with input from the GEF. All these methods yield consistent results confirming the instability of the AS solution, which renders the dynamics of axion inflation in the strong-backreaction regime even more interesting than previously believed.https://doi.org/10.1007/JHEP11(2023)183Axions and ALPsEarly Universe Particle Physics
spellingShingle Richard von Eckardstein
Marco Peloso
Kai Schmitz
Oleksandr Sobol
Lorenzo Sorbo
Axion inflation in the strong-backreaction regime: decay of the Anber-Sorbo solution
Journal of High Energy Physics
Axions and ALPs
Early Universe Particle Physics
title Axion inflation in the strong-backreaction regime: decay of the Anber-Sorbo solution
title_full Axion inflation in the strong-backreaction regime: decay of the Anber-Sorbo solution
title_fullStr Axion inflation in the strong-backreaction regime: decay of the Anber-Sorbo solution
title_full_unstemmed Axion inflation in the strong-backreaction regime: decay of the Anber-Sorbo solution
title_short Axion inflation in the strong-backreaction regime: decay of the Anber-Sorbo solution
title_sort axion inflation in the strong backreaction regime decay of the anber sorbo solution
topic Axions and ALPs
Early Universe Particle Physics
url https://doi.org/10.1007/JHEP11(2023)183
work_keys_str_mv AT richardvoneckardstein axioninflationinthestrongbackreactionregimedecayoftheanbersorbosolution
AT marcopeloso axioninflationinthestrongbackreactionregimedecayoftheanbersorbosolution
AT kaischmitz axioninflationinthestrongbackreactionregimedecayoftheanbersorbosolution
AT oleksandrsobol axioninflationinthestrongbackreactionregimedecayoftheanbersorbosolution
AT lorenzosorbo axioninflationinthestrongbackreactionregimedecayoftheanbersorbosolution