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Phase transitions and light scalars in bottom-up holography

Daniel Elander Orcid Logo, Ali Fatemiabhari Orcid Logo, Maurizio Piai Orcid Logo, Ali Fatemiabhari

Physical Review D, Volume: 108, Issue: 1

Swansea University Authors: Maurizio Piai Orcid Logo, Ali Fatemiabhari

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DOI (Published version): 10.1103/physrevd.108.015021

Abstract

Within the bottom-up approach to holography, we construct a class of six-dimensional gravity models, and discuss solutions that can be interpreted, asymptotically in the far UV, in terms of dual five-dimensional conformal field theories deformed by a single scalar operator. We treat the scaling dime...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2023
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URI: https://cronfa.swan.ac.uk/Record/cronfa63668
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spelling v2 63668 2023-06-20 Phase transitions and light scalars in bottom-up holography 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false 1fff8a27c5649675cda6e190dc0c74c3 Ali Fatemiabhari Ali Fatemiabhari true false 2023-06-20 SPH Within the bottom-up approach to holography, we construct a class of six-dimensional gravity models, and discuss solutions that can be interpreted, asymptotically in the far UV, in terms of dual five-dimensional conformal field theories deformed by a single scalar operator. We treat the scaling dimension of such operator, related to the mass of the one scalar field in the gravity theory, as a free parameter. One dimension in the regular geometry is compactified on a shrinking circle, hence mimicking confinement in the resulting dual four-dimensional theories.We study the mass spectrum of bosonic states. The lightest state in this spectrum is a scalar particle. Along the regular (confining) branch of solutions, we find the presence of a tachyonic instability in part of the parameter space, reached by a smooth deformation of the mass spectrum, as a function of the boundary value of the background scalar field in the gravity theory. In a region of parameter space nearby the tachyonic one, the lightest scalar particle can be interpreted as an approximate dilaton, sourced by the trace of the stress-energy tensor, and its mass is parametrically suppressed.We also compute the free energy, along several branches of gravity solutions. We find that both the dilatonic and tachyonic regions of parameter space, identified along the branch of confining solutions, are hidden behind a first-order phase transition, so that they are not realised as stable solutions, irrespectively of the scaling dimension of the deforming field-theory operator. The (approximate) dilaton, in particular, appears in metastable solutions. Yet, the mass of the lightest state, computed close to the phase transition, is (mildly) suppressed. This feature is amplified when the (free) parameter controlling the scaling dimension of the deformation is 5/2, half the dimension of space- time in the field theory. Journal Article Physical Review D 108 1 American Physical Society (APS) 2470-0010 2470-0029 19 7 2023 2023-07-19 10.1103/physrevd.108.015021 http://dx.doi.org/10.1103/physrevd.108.015021 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University Not Required 2023-09-04T12:07:10.4477281 2023-06-20T10:01:24.8948740 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Daniel Elander 0000-0001-6348-8021 1 Ali Fatemiabhari 0000-0003-1369-6505 2 Maurizio Piai 0000-0002-2251-0111 3 Ali Fatemiabhari 4 63668__27902__a5af09e1e0c145409ef0d53a9b818066.pdf 2212.07954.pdf 2023-06-21T09:25:42.4731866 Output 5808530 application/pdf Accepted Manuscript true false 63668__28212__b72d77c1a88e4f83a4787eb4acdde162.pdf PhysRevD.108.015021.pdf 2023-07-31T09:29:32.4678147 Output 2427997 application/pdf Version of Record true Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. true eng https://creativecommons.org/licenses/by/4.0/ 195 Ali Fatemiabhari 0000-0003-1369-6505 2127756@swansea.ac.uk true 10.5281/zenodo.7477647 false
title Phase transitions and light scalars in bottom-up holography
spellingShingle Phase transitions and light scalars in bottom-up holography
Maurizio Piai
Ali Fatemiabhari
title_short Phase transitions and light scalars in bottom-up holography
title_full Phase transitions and light scalars in bottom-up holography
title_fullStr Phase transitions and light scalars in bottom-up holography
title_full_unstemmed Phase transitions and light scalars in bottom-up holography
title_sort Phase transitions and light scalars in bottom-up holography
author_id_str_mv 3ce295f2c7cc318bac7da18f9989d8c3
1fff8a27c5649675cda6e190dc0c74c3
author_id_fullname_str_mv 3ce295f2c7cc318bac7da18f9989d8c3_***_Maurizio Piai
1fff8a27c5649675cda6e190dc0c74c3_***_Ali Fatemiabhari
author Maurizio Piai
Ali Fatemiabhari
author2 Daniel Elander
Ali Fatemiabhari
Maurizio Piai
Ali Fatemiabhari
format Journal article
container_title Physical Review D
container_volume 108
container_issue 1
publishDate 2023
institution Swansea University
issn 2470-0010
2470-0029
doi_str_mv 10.1103/physrevd.108.015021
publisher American Physical Society (APS)
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
url http://dx.doi.org/10.1103/physrevd.108.015021
document_store_str 1
active_str 0
description Within the bottom-up approach to holography, we construct a class of six-dimensional gravity models, and discuss solutions that can be interpreted, asymptotically in the far UV, in terms of dual five-dimensional conformal field theories deformed by a single scalar operator. We treat the scaling dimension of such operator, related to the mass of the one scalar field in the gravity theory, as a free parameter. One dimension in the regular geometry is compactified on a shrinking circle, hence mimicking confinement in the resulting dual four-dimensional theories.We study the mass spectrum of bosonic states. The lightest state in this spectrum is a scalar particle. Along the regular (confining) branch of solutions, we find the presence of a tachyonic instability in part of the parameter space, reached by a smooth deformation of the mass spectrum, as a function of the boundary value of the background scalar field in the gravity theory. In a region of parameter space nearby the tachyonic one, the lightest scalar particle can be interpreted as an approximate dilaton, sourced by the trace of the stress-energy tensor, and its mass is parametrically suppressed.We also compute the free energy, along several branches of gravity solutions. We find that both the dilatonic and tachyonic regions of parameter space, identified along the branch of confining solutions, are hidden behind a first-order phase transition, so that they are not realised as stable solutions, irrespectively of the scaling dimension of the deforming field-theory operator. The (approximate) dilaton, in particular, appears in metastable solutions. Yet, the mass of the lightest state, computed close to the phase transition, is (mildly) suppressed. This feature is amplified when the (free) parameter controlling the scaling dimension of the deformation is 5/2, half the dimension of space- time in the field theory.
published_date 2023-07-19T12:07:12Z
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score 11.013148

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