Field redefinitions and evolutions in relativistic Navier-Stokes
Abstract In recent years the equations of relativistic first-order viscous hydrodynamics, that is, the relativistic version of Navier-Stokes, have been shown to be well posed and causal under appropriate field redefinitions, also known as hydrodynamic frames. We perform real-time evolutions of these...
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| Format: | Article |
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SpringerOpen
2024-11-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP11(2024)110 |
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| author | Yago Bea Pau Figueras |
| author_facet | Yago Bea Pau Figueras |
| author_sort | Yago Bea |
| collection | DOAJ |
| description | Abstract In recent years the equations of relativistic first-order viscous hydrodynamics, that is, the relativistic version of Navier-Stokes, have been shown to be well posed and causal under appropriate field redefinitions, also known as hydrodynamic frames. We perform real-time evolutions of these equations for a conformal fluid and explore, quantitatively, the consequences of using different causal frames for different sets of initial data. By defining specific criteria, we make precise and provide evidence for the statement that the arbitrarily chosen frame does not affect the physics up to first order, as long as the system is in the effective field theory regime. Motivated by the physics of the quark-gluon plasma created in heavy-ion collisions we also explore systems which are marginally in the effective field theory regime, finding that even under these circumstances the first order physics is robust under field redefinitions. |
| format | Article |
| id | doaj-art-57f9abfaff5d40f1aab56fcf78000b51 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-57f9abfaff5d40f1aab56fcf78000b512024-12-08T12:09:05ZengSpringerOpenJournal of High Energy Physics1029-84792024-11-0120241113710.1007/JHEP11(2024)110Field redefinitions and evolutions in relativistic Navier-StokesYago Bea0Pau Figueras1Departament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICC), Universitat de BarcelonaSchool of Mathematical Sciences, Queen Mary University of LondonAbstract In recent years the equations of relativistic first-order viscous hydrodynamics, that is, the relativistic version of Navier-Stokes, have been shown to be well posed and causal under appropriate field redefinitions, also known as hydrodynamic frames. We perform real-time evolutions of these equations for a conformal fluid and explore, quantitatively, the consequences of using different causal frames for different sets of initial data. By defining specific criteria, we make precise and provide evidence for the statement that the arbitrarily chosen frame does not affect the physics up to first order, as long as the system is in the effective field theory regime. Motivated by the physics of the quark-gluon plasma created in heavy-ion collisions we also explore systems which are marginally in the effective field theory regime, finding that even under these circumstances the first order physics is robust under field redefinitions.https://doi.org/10.1007/JHEP11(2024)110Field Theory HydrodynamicsHolography and HydrodynamicsQuark-Gluon Plasma |
| spellingShingle | Yago Bea Pau Figueras Field redefinitions and evolutions in relativistic Navier-Stokes Journal of High Energy Physics Field Theory Hydrodynamics Holography and Hydrodynamics Quark-Gluon Plasma |
| title | Field redefinitions and evolutions in relativistic Navier-Stokes |
| title_full | Field redefinitions and evolutions in relativistic Navier-Stokes |
| title_fullStr | Field redefinitions and evolutions in relativistic Navier-Stokes |
| title_full_unstemmed | Field redefinitions and evolutions in relativistic Navier-Stokes |
| title_short | Field redefinitions and evolutions in relativistic Navier-Stokes |
| title_sort | field redefinitions and evolutions in relativistic navier stokes |
| topic | Field Theory Hydrodynamics Holography and Hydrodynamics Quark-Gluon Plasma |
| url | https://doi.org/10.1007/JHEP11(2024)110 |
| work_keys_str_mv | AT yagobea fieldredefinitionsandevolutionsinrelativisticnavierstokes AT paufigueras fieldredefinitionsandevolutionsinrelativisticnavierstokes |