Quasinormal quantization in de Sitter spacetime
A scalar field in four-dimensional deSitter spacetime (dS4) has quasinormal modes which are singular on the past horizon of the south pole and decay exponentially towards the future. These are found to lie in two complex highest-weight representations of the dS4 isometry group SO(4, 1). The Klein-Go...
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ftharvardudash:oai:dash.harvard.edu:1/29374080 2023-05-15T18:22:35+02:00 Quasinormal quantization in de Sitter spacetime Jafferis, Daniel Louis Lupsasca, Alexandru Victor Lysov, Vyacheslav Ng, Gim Seng Strominger, Andrew E. 2015 application/pdf http://nrs.harvard.edu/urn-3:HUL.InstRepos:29374080 https://doi.org/10.1007/JHEP01(2015)004 en_US eng Springer Nature doi:10.1007/JHEP01(2015)004 https://arxiv.org/abs/1305.5523 Journal of High Energy Physics Jafferis, Daniel L., Alexandru Lupsasca, Vyacheslav Lysov, Gim Seng Ng, and Andrew Strominger. 2015. “Quasinormal Quantization in de Sitter Spacetime.” Journal of High Energy Physics 2015 (1) (January). doi:10.1007/jhep01(2015)004. 1029-8479 http://nrs.harvard.edu/urn-3:HUL.InstRepos:29374080 Journal Article 2015 ftharvardudash https://doi.org/10.1007/JHEP01(2015)004 https://doi.org/10.1007/jhep01(2015)004 2022-04-05T18:14:46Z A scalar field in four-dimensional deSitter spacetime (dS4) has quasinormal modes which are singular on the past horizon of the south pole and decay exponentially towards the future. These are found to lie in two complex highest-weight representations of the dS4 isometry group SO(4, 1). The Klein-Gordon norm cannot be used for quantization of these modes because it diverges. However a modified ‘R-norm’, which involves reflection across the equator of a spatial S 3 slice, is nonsingular. The quasinormal modes are shown to provide a complete orthogonal basis with respect to the R-norm. Adopting the associated R-adjoint effectively transforms SO(4, 1) to the symmetry group SO(3, 2) of a 2+1-dimensional CFT. It is further shown that the conventional Euclidean vacuum may be defined as the state annihilated by half of the quasinormal modes, and the Euclidean Green function obtained from a simple mode sum. Quasinormal quantization contrasts with some conventional approaches in that it maintains manifest dS-invariance throughout. The results are expected to generalize to other dimensions and spins. Physics Accepted Manuscript Article in Journal/Newspaper South pole Harvard University: DASH - Digital Access to Scholarship at Harvard South Pole Sitter ENVELOPE(10.986,10.986,64.529,64.529) Journal of High Energy Physics 2015 1 |
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Harvard University: DASH - Digital Access to Scholarship at Harvard |
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English |
description |
A scalar field in four-dimensional deSitter spacetime (dS4) has quasinormal modes which are singular on the past horizon of the south pole and decay exponentially towards the future. These are found to lie in two complex highest-weight representations of the dS4 isometry group SO(4, 1). The Klein-Gordon norm cannot be used for quantization of these modes because it diverges. However a modified ‘R-norm’, which involves reflection across the equator of a spatial S 3 slice, is nonsingular. The quasinormal modes are shown to provide a complete orthogonal basis with respect to the R-norm. Adopting the associated R-adjoint effectively transforms SO(4, 1) to the symmetry group SO(3, 2) of a 2+1-dimensional CFT. It is further shown that the conventional Euclidean vacuum may be defined as the state annihilated by half of the quasinormal modes, and the Euclidean Green function obtained from a simple mode sum. Quasinormal quantization contrasts with some conventional approaches in that it maintains manifest dS-invariance throughout. The results are expected to generalize to other dimensions and spins. Physics Accepted Manuscript |
format |
Article in Journal/Newspaper |
author |
Jafferis, Daniel Louis Lupsasca, Alexandru Victor Lysov, Vyacheslav Ng, Gim Seng Strominger, Andrew E. |
spellingShingle |
Jafferis, Daniel Louis Lupsasca, Alexandru Victor Lysov, Vyacheslav Ng, Gim Seng Strominger, Andrew E. Quasinormal quantization in de Sitter spacetime |
author_facet |
Jafferis, Daniel Louis Lupsasca, Alexandru Victor Lysov, Vyacheslav Ng, Gim Seng Strominger, Andrew E. |
author_sort |
Jafferis, Daniel Louis |
title |
Quasinormal quantization in de Sitter spacetime |
title_short |
Quasinormal quantization in de Sitter spacetime |
title_full |
Quasinormal quantization in de Sitter spacetime |
title_fullStr |
Quasinormal quantization in de Sitter spacetime |
title_full_unstemmed |
Quasinormal quantization in de Sitter spacetime |
title_sort |
quasinormal quantization in de sitter spacetime |
publisher |
Springer Nature |
publishDate |
2015 |
url |
http://nrs.harvard.edu/urn-3:HUL.InstRepos:29374080 https://doi.org/10.1007/JHEP01(2015)004 |
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 |
doi:10.1007/JHEP01(2015)004 https://arxiv.org/abs/1305.5523 Journal of High Energy Physics Jafferis, Daniel L., Alexandru Lupsasca, Vyacheslav Lysov, Gim Seng Ng, and Andrew Strominger. 2015. “Quasinormal Quantization in de Sitter Spacetime.” Journal of High Energy Physics 2015 (1) (January). doi:10.1007/jhep01(2015)004. 1029-8479 http://nrs.harvard.edu/urn-3:HUL.InstRepos:29374080 |
op_doi |
https://doi.org/10.1007/JHEP01(2015)004 https://doi.org/10.1007/jhep01(2015)004 |
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Journal of High Energy Physics |
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2015 |
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1 |
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1766201997737852928 |