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Effective horizons, junction conditions and large-scale magnetism

The quantum mechanical generation of hypermagnetic and hyperlectric fields in four-dimensional conformally flat background geometries rests on the simultaneous continuity of the effective horizon and of the extrinsic curvature across the inflationary boundary. The junction conditions for the gauge f...

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Detalles Bibliográficos
Autor principal: Giovannini, Massimo
Lenguaje:eng
Publicado: 2017
Materias:
Acceso en línea:https://dx.doi.org/10.1140/epjc/s10052-017-5105-1
http://cds.cern.ch/record/2275380
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author Giovannini, Massimo
author_facet Giovannini, Massimo
author_sort Giovannini, Massimo
collection CERN
description The quantum mechanical generation of hypermagnetic and hyperlectric fields in four-dimensional conformally flat background geometries rests on the simultaneous continuity of the effective horizon and of the extrinsic curvature across the inflationary boundary. The junction conditions for the gauge fields are derived in general terms and corroborated by explicit examples with particular attention to the limit of a sudden (but nonetheless continuous) transition of the effective horizon. After reducing the dynamics to a pair of integral equations related by duality transformations, we compute the power spectra and deduce a novel class of logarithmic corrections which turn out to be, however, numerically insignificant and overwhelmed by the conductivity effects once the gauge modes reenter the effective horizon. In this perspective the magnetogenesis requirements and the role of the postinflationary conductivity are clarified and reappraised. As long as the total duration of the inflationary phase is nearly minimal, quasi-flat hypermagnetic power spectra are comparatively more common than in the case of vacuum initial data.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2017
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spelling cern-22753802021-11-13T12:23:31Zdoi:10.1140/epjc/s10052-017-5105-1http://cds.cern.ch/record/2275380engGiovannini, MassimoEffective horizons, junction conditions and large-scale magnetismhep-phParticle Physics - Phenomenologygr-qcGeneral Relativity and Cosmologyastro-ph.COAstrophysics and Astronomyhep-thParticle Physics - TheoryThe quantum mechanical generation of hypermagnetic and hyperlectric fields in four-dimensional conformally flat background geometries rests on the simultaneous continuity of the effective horizon and of the extrinsic curvature across the inflationary boundary. The junction conditions for the gauge fields are derived in general terms and corroborated by explicit examples with particular attention to the limit of a sudden (but nonetheless continuous) transition of the effective horizon. After reducing the dynamics to a pair of integral equations related by duality transformations, we compute the power spectra and deduce a novel class of logarithmic corrections which turn out to be, however, numerically insignificant and overwhelmed by the conductivity effects once the gauge modes reenter the effective horizon. In this perspective the magnetogenesis requirements and the role of the postinflationary conductivity are clarified and reappraised. As long as the total duration of the inflationary phase is nearly minimal, quasi-flat hypermagnetic power spectra are comparatively more common than in the case of vacuum initial data.arXiv:1706.09824oai:cds.cern.ch:22753802017-06-29
spellingShingle hep-ph
Particle Physics - Phenomenology
gr-qc
General Relativity and Cosmology
astro-ph.CO
Astrophysics and Astronomy
hep-th
Particle Physics - Theory
Giovannini, Massimo
Effective horizons, junction conditions and large-scale magnetism
title Effective horizons, junction conditions and large-scale magnetism
title_full Effective horizons, junction conditions and large-scale magnetism
title_fullStr Effective horizons, junction conditions and large-scale magnetism
title_full_unstemmed Effective horizons, junction conditions and large-scale magnetism
title_short Effective horizons, junction conditions and large-scale magnetism
title_sort effective horizons, junction conditions and large-scale magnetism
topic hep-ph
Particle Physics - Phenomenology
gr-qc
General Relativity and Cosmology
astro-ph.CO
Astrophysics and Astronomy
hep-th
Particle Physics - Theory
url https://dx.doi.org/10.1140/epjc/s10052-017-5105-1
http://cds.cern.ch/record/2275380
work_keys_str_mv AT giovanninimassimo effectivehorizonsjunctionconditionsandlargescalemagnetism