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From sources to initial data and back again: on bulk singularities in Euclidean AdS/CFT
A common method to prepare states in AdS/CFT is to perform the Euclidean path integral with sources turned on for single-trace operators. These states can be interpreted as coherent states of the bulk quantum theory associated to Lorentzian initial data on a Cauchy slice. In this paper, we discuss t...
Autores principales: | , |
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Lenguaje: | eng |
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2020
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Acceso en línea: | https://dx.doi.org/10.1007/JHEP12(2020)185 http://cds.cern.ch/record/2724946 |
_version_ | 1780965993310322688 |
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author | Belin, Alexandre Withers, Benjamin |
author_facet | Belin, Alexandre Withers, Benjamin |
author_sort | Belin, Alexandre |
collection | CERN |
description | A common method to prepare states in AdS/CFT is to perform the Euclidean path integral with sources turned on for single-trace operators. These states can be interpreted as coherent states of the bulk quantum theory associated to Lorentzian initial data on a Cauchy slice. In this paper, we discuss the extent to which arbitrary initial data can be obtained in this way. We show that the initial data must be analytic and define the subset of it that can be prepared by imposing bulk regularity. Turning this around, we show that for generic analytic initial data the corresponding Euclidean section contains singularities coming from delta function sources in the bulk. We propose an interpretation of these singularities as non-perturbative objects in the microscopic theory. |
id | cern-2724946 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2020 |
record_format | invenio |
spelling | cern-27249462023-10-04T08:50:25Zdoi:10.1007/JHEP12(2020)185http://cds.cern.ch/record/2724946engBelin, AlexandreWithers, BenjaminFrom sources to initial data and back again: on bulk singularities in Euclidean AdS/CFTgr-qcGeneral Relativity and Cosmologyhep-thParticle Physics - TheoryA common method to prepare states in AdS/CFT is to perform the Euclidean path integral with sources turned on for single-trace operators. These states can be interpreted as coherent states of the bulk quantum theory associated to Lorentzian initial data on a Cauchy slice. In this paper, we discuss the extent to which arbitrary initial data can be obtained in this way. We show that the initial data must be analytic and define the subset of it that can be prepared by imposing bulk regularity. Turning this around, we show that for generic analytic initial data the corresponding Euclidean section contains singularities coming from delta function sources in the bulk. We propose an interpretation of these singularities as non-perturbative objects in the microscopic theory.arXiv:2007.10344CERN-TH-2020-125oai:cds.cern.ch:27249462020-07-20 |
spellingShingle | gr-qc General Relativity and Cosmology hep-th Particle Physics - Theory Belin, Alexandre Withers, Benjamin From sources to initial data and back again: on bulk singularities in Euclidean AdS/CFT |
title | From sources to initial data and back again: on bulk singularities in Euclidean AdS/CFT |
title_full | From sources to initial data and back again: on bulk singularities in Euclidean AdS/CFT |
title_fullStr | From sources to initial data and back again: on bulk singularities in Euclidean AdS/CFT |
title_full_unstemmed | From sources to initial data and back again: on bulk singularities in Euclidean AdS/CFT |
title_short | From sources to initial data and back again: on bulk singularities in Euclidean AdS/CFT |
title_sort | from sources to initial data and back again: on bulk singularities in euclidean ads/cft |
topic | gr-qc General Relativity and Cosmology hep-th Particle Physics - Theory |
url | https://dx.doi.org/10.1007/JHEP12(2020)185 http://cds.cern.ch/record/2724946 |
work_keys_str_mv | AT belinalexandre fromsourcestoinitialdataandbackagainonbulksingularitiesineuclideanadscft AT withersbenjamin fromsourcestoinitialdataandbackagainonbulksingularitiesineuclideanadscft |