Hydrodynamic dispersion relations at finite coupling
Abstract By using holographic methods, the radii of convergence of the hydrodynamic shear and sound dispersion relations were previously computed in the N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills theory at infinite ’t Hooft coupling and infinite number of colours. Here, we extend this analysi...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2021)180 |
| _version_ | 1818956918402580480 |
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| author | Sašo Grozdanov Andrei O. Starinets Petar Tadić |
| author_facet | Sašo Grozdanov Andrei O. Starinets Petar Tadić |
| author_sort | Sašo Grozdanov |
| collection | DOAJ |
| description | Abstract By using holographic methods, the radii of convergence of the hydrodynamic shear and sound dispersion relations were previously computed in the N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills theory at infinite ’t Hooft coupling and infinite number of colours. Here, we extend this analysis to the domain of large but finite ’t Hooft coupling. To leading order in the perturbative expansion, we find that the radii grow with increasing inverse coupling, contrary to naive expectations. However, when the equations of motion are solved using a qualitative non-perturbative resummation, the dependence on the coupling becomes piecewise continuous and the initial growth is followed by a decrease. The piecewise nature of the dependence is related to the dynamics of branch point singularities of the energy-momentum tensor finite-temperature two-point functions in the complex plane of spatial momentum squared. We repeat the study using the Einstein-Gauss-Bonnet gravity as a model where the equations can be solved fully non-perturbatively, and find the expected decrease of the radii of convergence with the effective inverse coupling which is also piecewise continuous. Finally, we provide arguments in favour of the non-perturbative approach and show that the presence of non-perturbative modes in the quasinormal spectrum can be indirectly inferred from the analysis of perturbative critical points. |
| first_indexed | 2024-12-20T11:01:35Z |
| format | Article |
| id | doaj.art-e8df2d90720e45798f1755a78ece5a12 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T11:01:35Z |
| publishDate | 2021-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e8df2d90720e45798f1755a78ece5a122022-12-21T19:43:02ZengSpringerOpenJournal of High Energy Physics1029-84792021-06-012021614510.1007/JHEP06(2021)180Hydrodynamic dispersion relations at finite couplingSašo Grozdanov0Andrei O. Starinets1Petar Tadić2University of Ljubljana, Faculty of Mathematics and PhysicsRudolf Peierls Centre for Theoretical Physics, Clarendon LabSchool of Mathematics, Trinity College DublinAbstract By using holographic methods, the radii of convergence of the hydrodynamic shear and sound dispersion relations were previously computed in the N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills theory at infinite ’t Hooft coupling and infinite number of colours. Here, we extend this analysis to the domain of large but finite ’t Hooft coupling. To leading order in the perturbative expansion, we find that the radii grow with increasing inverse coupling, contrary to naive expectations. However, when the equations of motion are solved using a qualitative non-perturbative resummation, the dependence on the coupling becomes piecewise continuous and the initial growth is followed by a decrease. The piecewise nature of the dependence is related to the dynamics of branch point singularities of the energy-momentum tensor finite-temperature two-point functions in the complex plane of spatial momentum squared. We repeat the study using the Einstein-Gauss-Bonnet gravity as a model where the equations can be solved fully non-perturbatively, and find the expected decrease of the radii of convergence with the effective inverse coupling which is also piecewise continuous. Finally, we provide arguments in favour of the non-perturbative approach and show that the presence of non-perturbative modes in the quasinormal spectrum can be indirectly inferred from the analysis of perturbative critical points.https://doi.org/10.1007/JHEP06(2021)180Black Holes in String TheoryEffective Field TheoriesGauge-gravity correspondenceHolography and quark-gluon plasmas |
| spellingShingle | Sašo Grozdanov Andrei O. Starinets Petar Tadić Hydrodynamic dispersion relations at finite coupling Journal of High Energy Physics Black Holes in String Theory Effective Field Theories Gauge-gravity correspondence Holography and quark-gluon plasmas |
| title | Hydrodynamic dispersion relations at finite coupling |
| title_full | Hydrodynamic dispersion relations at finite coupling |
| title_fullStr | Hydrodynamic dispersion relations at finite coupling |
| title_full_unstemmed | Hydrodynamic dispersion relations at finite coupling |
| title_short | Hydrodynamic dispersion relations at finite coupling |
| title_sort | hydrodynamic dispersion relations at finite coupling |
| topic | Black Holes in String Theory Effective Field Theories Gauge-gravity correspondence Holography and quark-gluon plasmas |
| url | https://doi.org/10.1007/JHEP06(2021)180 |
| work_keys_str_mv | AT sasogrozdanov hydrodynamicdispersionrelationsatfinitecoupling AT andreiostarinets hydrodynamicdispersionrelationsatfinitecoupling AT petartadic hydrodynamicdispersionrelationsatfinitecoupling |