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Holography and hydrodynamics with weakly broken symmetries

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dc.contributor Háskóli Íslands
dc.contributor University of Iceland
dc.contributor.author Grozdanov, Sašo
dc.contributor.author Lucas, Andrew
dc.contributor.author Poovuttikul, Napat
dc.date.accessioned 2020-05-04T15:45:00Z
dc.date.available 2020-05-04T15:45:00Z
dc.date.issued 2019-04-15
dc.identifier.citation Grozdanov, S., Lucas, A., & Poovuttikul, N. (2019). Holography and hydrodynamics with weakly broken symmetries. ArXiv.org, 99(8), ArXiv.org, Apr 16, 2019.
dc.identifier.issn 2470-0010
dc.identifier.issn 2470-0029 (eISSN)
dc.identifier.uri https://hdl.handle.net/20.500.11815/1771
dc.description Publisher's version (útgefin grein)
dc.description.abstract Hydrodynamics is a theory of long-range excitations controlled by equations of motion that encode the conservation of a set of currents (energy, momentum, charge, etc.) associated with explicitly realized global symmetries. If a system possesses additional weakly broken symmetries, the low-energy hydrodynamic degrees of freedom also couple to a few other "approximately conserved" quantities with parametrically long relaxation times. It is often useful to consider such approximately conserved operators and corresponding new massive modes within the low-energy effective theory, which we refer to as quasihydrodynamics. Examples of quasihydrodynamics are numerous, with the most transparent among them hydrodynamics with weakly broken translational symmetry. Here, we show how a number of other theories, normally not thought of in this context, can also be understood within a broader framework of quasihydrodynamics: in particular, the Müller-Israel-Stewart theory and magnetohydrodynamics coupled to dynamical electric fields. While historical formulations of quasihydrodynamic theories were typically highly phenomenological, here, we develop a holographic formalism to systematically derive such theories from a (microscopic) dual gravitational description. Beyond laying out a general holographic algorithm, we show how the Müller-Israel-Stewart theory can be understood from a dual higher-derivative gravity theory and magnetohydrodynamics from a dual theory with two-form bulk fields. In the latter example, this allows us to unambiguously demonstrate the existence of dynamical photons in the holographic description of magnetohydrodynamics.
dc.description.sponsorship We thank Matteo Baggioli for discussions. S. G. would like to thank Andrei Starinets for his unwavering skepticism of the MIS theory. S. G. was supported by the U.S. Department of Energy under grant Contract No. DE-SC0011090. A. L. was supported by the Gordon and Betty Moore Foundation’s EPiQS Initiative through Grant No. GBMF4302. The work of N. P. was supported by Icelandic Research Fund Grant No. 163422-052. N. P. would like to thank the Stanford Institute for Theoretical Physics, NORDITA and CTP, Durham University for hospitality. N. P. would also like to acknowledge the support from COST Action MP1405 (QSPACE). All authors thank NORDITA for hospitality during the program “Bounding Transport and Chaos”.
dc.format.extent 086012
dc.language.iso en
dc.publisher American Physical Society (APS)
dc.relation.ispartofseries Physical Review D;99(8)
dc.rights info:eu-repo/semantics/openAccess
dc.subject Gauge-gravity dualities
dc.subject Quantum fluids & solids
dc.subject Strongly correlated systems
dc.subject Skammtafræði
dc.subject Þéttefnisfræði
dc.subject Straumfræði
dc.title Holography and hydrodynamics with weakly broken symmetries
dc.type info:eu-repo/semantics/article
dcterms.license 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.
dc.description.version Peer Reviewed
dc.identifier.journal Physical Review D
dc.identifier.doi 10.1103/PhysRevD.99.086012
dc.contributor.department Science Institute (UI)
dc.contributor.department Raunvísindastofnun (HÍ)
dc.contributor.school Verkfræði- og náttúruvísindasvið (HÍ)
dc.contributor.school School of Engineering and Natural Sciences (UI)

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