More on topological hydrodynamic modes

Abstract Based on previous work that topologically nontrivial gapless modes in relativistic hydrodynamics could be found by weakly breaking the energy momentum conservation, in this paper, we study the holographic system which produces the same hydrodynamic modes. In the hydrodynamic system, one pos...

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Main Authors: Wen-Bin Pan, Ya-Wen Sun
Format: Article
Language:English
Published: SpringerOpen 2022-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP09(2022)040
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author Wen-Bin Pan
Ya-Wen Sun
author_facet Wen-Bin Pan
Ya-Wen Sun
author_sort Wen-Bin Pan
collection DOAJ
description Abstract Based on previous work that topologically nontrivial gapless modes in relativistic hydrodynamics could be found by weakly breaking the energy momentum conservation, in this paper, we study the holographic system which produces the same hydrodynamic modes. In the hydrodynamic system, one possibility to obtain the energy momentum non-conservation is to couple the system to external gravitational fields, i.e. to observe the system in a special non-inertial frame. Similar to what happens in the hydrodynamic system, a non-inertial frame version of holography indeed produces the same topologically nontrivial gapless hydrodynamic modes. We also generalize the study of topological modes in relativistic hydrodynamics to the case with one extra U(1) current and find that more complicated topological phase diagrams could exist when we consider more possibilities of the mass terms. We also discuss the possible underlying mechanism for this topological change in the spectrum when being observed in a non-inertial reference frame.
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spelling doaj.art-e90a9dc1c4a7467d8df3cb4a91a3561a2022-12-22T04:24:48ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022913310.1007/JHEP09(2022)040More on topological hydrodynamic modesWen-Bin Pan0Ya-Wen Sun1School of Physical Sciences, University of Chinese Academy of SciencesSchool of Physical Sciences, University of Chinese Academy of SciencesAbstract Based on previous work that topologically nontrivial gapless modes in relativistic hydrodynamics could be found by weakly breaking the energy momentum conservation, in this paper, we study the holographic system which produces the same hydrodynamic modes. In the hydrodynamic system, one possibility to obtain the energy momentum non-conservation is to couple the system to external gravitational fields, i.e. to observe the system in a special non-inertial frame. Similar to what happens in the hydrodynamic system, a non-inertial frame version of holography indeed produces the same topologically nontrivial gapless hydrodynamic modes. We also generalize the study of topological modes in relativistic hydrodynamics to the case with one extra U(1) current and find that more complicated topological phase diagrams could exist when we consider more possibilities of the mass terms. We also discuss the possible underlying mechanism for this topological change in the spectrum when being observed in a non-inertial reference frame.https://doi.org/10.1007/JHEP09(2022)040Holography and Condensed Matter Physics (AdS/CMT)AdS-CFT CorrespondenceGauge-Gravity CorrespondenceHolography and Hydrodynamics
spellingShingle Wen-Bin Pan
Ya-Wen Sun
More on topological hydrodynamic modes
Journal of High Energy Physics
Holography and Condensed Matter Physics (AdS/CMT)
AdS-CFT Correspondence
Gauge-Gravity Correspondence
Holography and Hydrodynamics
title More on topological hydrodynamic modes
title_full More on topological hydrodynamic modes
title_fullStr More on topological hydrodynamic modes
title_full_unstemmed More on topological hydrodynamic modes
title_short More on topological hydrodynamic modes
title_sort more on topological hydrodynamic modes
topic Holography and Condensed Matter Physics (AdS/CMT)
AdS-CFT Correspondence
Gauge-Gravity Correspondence
Holography and Hydrodynamics
url https://doi.org/10.1007/JHEP09(2022)040
work_keys_str_mv AT wenbinpan moreontopologicalhydrodynamicmodes
AT yawensun moreontopologicalhydrodynamicmodes