Quasi-normal Modes in de Sitter Space: Plane Wave Method
Recently, in the context of dS/CFT correspondence, quasinormal modes have been put forward to address certain features of this conjecture. In particular, it is argued that the dual states of quasi-normal modes are in fact the states of CFT$_3$ which are created by operator insertions. For a scalar f...
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ftdatacite:10.48550/arxiv.1402.2893 2023-05-15T18:22:48+02:00 Quasi-normal Modes in de Sitter Space: Plane Wave Method Tanhayi, M. Reza 2014 https://dx.doi.org/10.48550/arxiv.1402.2893 https://arxiv.org/abs/1402.2893 unknown arXiv https://dx.doi.org/10.1103/physrevd.90.064010 arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ General Relativity and Quantum Cosmology gr-qc High Energy Physics - Theory hep-th FOS Physical sciences article-journal Article ScholarlyArticle Text 2014 ftdatacite https://doi.org/10.48550/arxiv.1402.2893 https://doi.org/10.1103/physrevd.90.064010 2022-04-01T13:06:26Z Recently, in the context of dS/CFT correspondence, quasinormal modes have been put forward to address certain features of this conjecture. In particular, it is argued that the dual states of quasi-normal modes are in fact the states of CFT$_3$ which are created by operator insertions. For a scalar field in $dS_4$, quasi-normal modes which are singular on the past horizon of the south pole and decay exponentially towards the future have been considered in \cite{Ng:2012xp, Jafferis:2013qia}, these modes lie in two complex highest-weight representation of the dS$_4$ isometry group. In this work, we present a simple group representation analysis of these modes so that the de Sitter invariance is obviously manifest. By making use of the so-called plane wave method, we will show that the quasi-normal modes correspond to one class of the unitary irreducible representation of the de Sitter group. This consideration could be generalized straightforwardly for higher-spin fields and higher dimensions, in particular, we will study the quasinormal modes for gauge and spinor fields, and, in the case of a scalar field, the generalization to higher dimensions is also obtained. : 16 pages, typos corrected, references added, published version, To appear in Phys. Rev. D Text South pole DataCite Metadata Store (German National Library of Science and Technology) South Pole Sitter ENVELOPE(10.986,10.986,64.529,64.529) |
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DataCite Metadata Store (German National Library of Science and Technology) |
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General Relativity and Quantum Cosmology gr-qc High Energy Physics - Theory hep-th FOS Physical sciences |
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General Relativity and Quantum Cosmology gr-qc High Energy Physics - Theory hep-th FOS Physical sciences Tanhayi, M. Reza Quasi-normal Modes in de Sitter Space: Plane Wave Method |
topic_facet |
General Relativity and Quantum Cosmology gr-qc High Energy Physics - Theory hep-th FOS Physical sciences |
description |
Recently, in the context of dS/CFT correspondence, quasinormal modes have been put forward to address certain features of this conjecture. In particular, it is argued that the dual states of quasi-normal modes are in fact the states of CFT$_3$ which are created by operator insertions. For a scalar field in $dS_4$, quasi-normal modes which are singular on the past horizon of the south pole and decay exponentially towards the future have been considered in \cite{Ng:2012xp, Jafferis:2013qia}, these modes lie in two complex highest-weight representation of the dS$_4$ isometry group. In this work, we present a simple group representation analysis of these modes so that the de Sitter invariance is obviously manifest. By making use of the so-called plane wave method, we will show that the quasi-normal modes correspond to one class of the unitary irreducible representation of the de Sitter group. This consideration could be generalized straightforwardly for higher-spin fields and higher dimensions, in particular, we will study the quasinormal modes for gauge and spinor fields, and, in the case of a scalar field, the generalization to higher dimensions is also obtained. : 16 pages, typos corrected, references added, published version, To appear in Phys. Rev. D |
format |
Text |
author |
Tanhayi, M. Reza |
author_facet |
Tanhayi, M. Reza |
author_sort |
Tanhayi, M. Reza |
title |
Quasi-normal Modes in de Sitter Space: Plane Wave Method |
title_short |
Quasi-normal Modes in de Sitter Space: Plane Wave Method |
title_full |
Quasi-normal Modes in de Sitter Space: Plane Wave Method |
title_fullStr |
Quasi-normal Modes in de Sitter Space: Plane Wave Method |
title_full_unstemmed |
Quasi-normal Modes in de Sitter Space: Plane Wave Method |
title_sort |
quasi-normal modes in de sitter space: plane wave method |
publisher |
arXiv |
publishDate |
2014 |
url |
https://dx.doi.org/10.48550/arxiv.1402.2893 https://arxiv.org/abs/1402.2893 |
long_lat |
ENVELOPE(10.986,10.986,64.529,64.529) |
geographic |
South Pole Sitter |
geographic_facet |
South Pole Sitter |
genre |
South pole |
genre_facet |
South pole |
op_relation |
https://dx.doi.org/10.1103/physrevd.90.064010 |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.1402.2893 https://doi.org/10.1103/physrevd.90.064010 |
_version_ |
1766202217216344064 |