Massive Spin Zero Fields in Cosmology and the Tail-Free Property

Fields of spin s ≥ 1 / 2 satisfying wave equations in a curved space obey the Huygens principle under certain conditions clarified by a known theorem. Here, this theorem is generalized to spin zero and applied to an inflaton field in de Sitter-like space, showing that tails of scalar...

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Main Author: Valerio Faraoni
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/11/1/36
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spelling doaj-f9ca111be9504fca803246e76a217f0a2020-11-24T22:18:00ZengMDPI AGSymmetry2073-89942019-01-011113610.3390/sym11010036sym11010036Massive Spin Zero Fields in Cosmology and the Tail-Free PropertyValerio Faraoni0Department of Physics & Astronomy, Bishop’s University, 2600 College Street, Sherbrooke, QC J1M 1Z7, CanadaFields of spin s ≥ 1 / 2 satisfying wave equations in a curved space obey the Huygens principle under certain conditions clarified by a known theorem. Here, this theorem is generalized to spin zero and applied to an inflaton field in de Sitter-like space, showing that tails of scalar radiation are an unavoidable physical feature. Requiring the absence of tails, on the contrary, necessarily implies an unnatural tuning between cosmological constant, scalar field mass, and coupling constant to the curvature.http://www.mdpi.com/2073-8994/11/1/36scalar wavesHuygens’ principletails of radiationinflation
collection DOAJ
language English
format Article
sources DOAJ
author Valerio Faraoni
spellingShingle Valerio Faraoni
Massive Spin Zero Fields in Cosmology and the Tail-Free Property
Symmetry
scalar waves
Huygens’ principle
tails of radiation
inflation
author_facet Valerio Faraoni
author_sort Valerio Faraoni
title Massive Spin Zero Fields in Cosmology and the Tail-Free Property
title_short Massive Spin Zero Fields in Cosmology and the Tail-Free Property
title_full Massive Spin Zero Fields in Cosmology and the Tail-Free Property
title_fullStr Massive Spin Zero Fields in Cosmology and the Tail-Free Property
title_full_unstemmed Massive Spin Zero Fields in Cosmology and the Tail-Free Property
title_sort massive spin zero fields in cosmology and the tail-free property
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2019-01-01
description Fields of spin s ≥ 1 / 2 satisfying wave equations in a curved space obey the Huygens principle under certain conditions clarified by a known theorem. Here, this theorem is generalized to spin zero and applied to an inflaton field in de Sitter-like space, showing that tails of scalar radiation are an unavoidable physical feature. Requiring the absence of tails, on the contrary, necessarily implies an unnatural tuning between cosmological constant, scalar field mass, and coupling constant to the curvature.
topic scalar waves
Huygens’ principle
tails of radiation
inflation
url http://www.mdpi.com/2073-8994/11/1/36
work_keys_str_mv AT valeriofaraoni massivespinzerofieldsincosmologyandthetailfreeproperty
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