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Probing the holographic dilaton

Daniel Elander, Maurizio Piai Orcid Logo, John Roughley

Journal of High Energy Physics, Volume: 2020, Issue: 6

Swansea University Authors: Maurizio Piai Orcid Logo, John Roughley

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Abstract

Many strongly coupled field theories admit a spectrum of gauge-invariant bound states that includes scalar particles with the same quantum numbers as the vacuum. The challenge naturally arises of how to characterise them. In particular, how can a dilaton—the pseudo- Nambu-Goldstone boson associated...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa54415
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spelling 2021-08-29T16:27:40.7058631 v2 54415 2020-06-09 Probing the holographic dilaton 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false a455f6e7908ee14413cb31e9f6f2f0fb John Roughley John Roughley true false 2020-06-09 SPH Many strongly coupled field theories admit a spectrum of gauge-invariant bound states that includes scalar particles with the same quantum numbers as the vacuum. The challenge naturally arises of how to characterise them. In particular, how can a dilaton—the pseudo- Nambu-Goldstone boson associated with approximate scale invariance—be distinguished from other generic light scalars with the same quantum numbers? We address this problem within the context of gauge-gravity dualities, by analysing the fluctuations of the higher- dimensional gravitational theory. The diagnostic test that we propose consists of comparing the results of the complete calculation, performed by using gauge-invariant fluctuations in the bulk, with the results obtained in the probe approximation. While the former captures the mixing between scalar and metric degrees of freedom, the latter removes by hand the fluctuations that source the dilatation operator of the boundary field-theory. Hence, the probe approximation cannot capture a possible light dilaton, while it should fare well for other scalar particles.We test this idea on a number of holographic models, among which are some of the best known, complete gravity backgrounds constructed within the top-down approach to gauge-gravity dualities. We compute the spectra of scalar and tensor fluctuations, that are interpreted as bound states (glueballs) of the dual field theory, and we highlight those cases in which the probe approximation yields results close to the correct physical ones, as well as those cases where significant discrepancies emerge. We interpret the latter occurrence as an indication that identifying one of the lightest scalar states with the dilaton is legitimate, at least as a leading-order approximation. Journal Article Journal of High Energy Physics 2020 6 Springer Science and Business Media LLC 1029-8479 1 6 2020 2020-06-01 10.1007/jhep06(2020)177 Erratum to: Probing the holographic dilaton available at 10.1007/jhep12(2020)109 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University STFC, EU Horizon 2020 ST/L000369/1, ST/P00055X/1 2021-08-29T16:27:40.7058631 2020-06-09T09:09:54.4802046 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Daniel Elander 1 Maurizio Piai 0000-0002-2251-0111 2 John Roughley 3 54415__17449__8f837d1509a4410380cdda1ed489acbb.pdf 2004.05656.pdf 2020-06-09T09:14:00.1452539 Output 1301109 application/pdf Version of Record true This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) true eng https://creativecommons.org/licenses/by/4.0/
title Probing the holographic dilaton
spellingShingle Probing the holographic dilaton
Maurizio Piai
John Roughley
title_short Probing the holographic dilaton
title_full Probing the holographic dilaton
title_fullStr Probing the holographic dilaton
title_full_unstemmed Probing the holographic dilaton
title_sort Probing the holographic dilaton
author_id_str_mv 3ce295f2c7cc318bac7da18f9989d8c3
a455f6e7908ee14413cb31e9f6f2f0fb
author_id_fullname_str_mv 3ce295f2c7cc318bac7da18f9989d8c3_***_Maurizio Piai
a455f6e7908ee14413cb31e9f6f2f0fb_***_John Roughley
author Maurizio Piai
John Roughley
author2 Daniel Elander
Maurizio Piai
John Roughley
format Journal article
container_title Journal of High Energy Physics
container_volume 2020
container_issue 6
publishDate 2020
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/jhep06(2020)177
publisher Springer Science and Business Media LLC
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
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description Many strongly coupled field theories admit a spectrum of gauge-invariant bound states that includes scalar particles with the same quantum numbers as the vacuum. The challenge naturally arises of how to characterise them. In particular, how can a dilaton—the pseudo- Nambu-Goldstone boson associated with approximate scale invariance—be distinguished from other generic light scalars with the same quantum numbers? We address this problem within the context of gauge-gravity dualities, by analysing the fluctuations of the higher- dimensional gravitational theory. The diagnostic test that we propose consists of comparing the results of the complete calculation, performed by using gauge-invariant fluctuations in the bulk, with the results obtained in the probe approximation. While the former captures the mixing between scalar and metric degrees of freedom, the latter removes by hand the fluctuations that source the dilatation operator of the boundary field-theory. Hence, the probe approximation cannot capture a possible light dilaton, while it should fare well for other scalar particles.We test this idea on a number of holographic models, among which are some of the best known, complete gravity backgrounds constructed within the top-down approach to gauge-gravity dualities. We compute the spectra of scalar and tensor fluctuations, that are interpreted as bound states (glueballs) of the dual field theory, and we highlight those cases in which the probe approximation yields results close to the correct physical ones, as well as those cases where significant discrepancies emerge. We interpret the latter occurrence as an indication that identifying one of the lightest scalar states with the dilaton is legitimate, at least as a leading-order approximation.
published_date 2020-06-01T04:05:19Z
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