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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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Lenguaje: | eng |
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2017
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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. |
id | cern-2275380 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2017 |
record_format | invenio |
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 |