The complex life of hydrodynamic modes

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dc.contributor.authorGrozdanov, Saso
dc.contributor.authorKovtun, Pavel
dc.contributor.authorStarinets, Andrei O.
dc.contributor.authorTadic, Petar
dc.date.accessioned2020-11-10T19:01:13Z
dc.date.available2020-11-10T19:01:13Z
dc.date.copyright2019en_US
dc.date.issued2019
dc.description.abstractWe study analytic properties of the dispersion relations in classical hydrodynamics by treating them as Puiseux series in complex momentum. The radii of convergence of the series are determined by the critical points of the associated complex spectral curves. For theories that admit a dual gravitational description through holography, the critical points correspond to level-crossings in the quasinormal spectrum of the dual black hole. We illustrate these methods in N = 4 supersymmetric Yang-Mills theory in 3+1 dimensions, in a holographic model with broken translation symmetry in 2+1 dimensions, and in con- formal field theory in 1+1 dimensions. We comment on the pole-skipping phenomenon in thermal correlation functions, and show that it is not specific to energy density correlations.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipS.G. and A.O.S. would like to thank the organisers of the programme \Bounding transport and chaos in condensed matter and holography" at Nordita, where part of this work was initiated. S.G. is supported by the U.S. Department of Energy under grant Contract Number DE-SC0011090. S.G. would also like to thank H. Liu, D. Sustretov and W. Taylorfor stimulating and illuminating discussions, and for suggestions on the relevant algebraic geometry literature. P.K. would like to thank the Rudolph Peierls Centre for Theoretical Physics at the University of Oxford for hospitality during the initial stage of this work, and the organisers of the KITP programme \Chaos and Order", where part of this work was completed. P.K.'s work was supported in part by NSERC of Canada. A.O.S. would like to thank Moscow State University and especially A.V. Borisov, as well as the Kadano Center for Theoretical Physics at the University of Chicago for hospitality during the nal stage of this work. He also thanks P. Glorioso, D.T. Son, M. Stephanov, P.B. Wiegmann and F. Essler, J. March-Russell, S. Parameswaran for discussions in Chicago and Oxford, respectively, and the participants of the seminars at the Institute for Nuclear Research, Steklov Mathematical Institute and Lebedev Physical Institute of the Russian Academy of Sciences for critical questions and useful suggestions. The work of P.T. is supported by an Ussher Fellowship from Trinity College Dublin. We would like to thank A. Buchel, M. Heller, A. Kurkela and J. Noronha for illuminating correspondence. We also would like to thank B. Withers for correcting our inadvertent partial misrepresentation of his results in the rst version of our preprinten_US
dc.identifier.citationGrozdanov, S., Kovtun, P. K., Starinets, A. O., & Tadić, P. (2019) The complex life of hydrodynamic modes. Journal of High Energy Physics, 2019(97). https://doi.org/10.1007/JHEP11(2019)097en_US
dc.identifier.urihttps://doi.org/10.1007/JHEP11(2019)097
dc.identifier.urihttp://hdl.handle.net/1828/12333
dc.language.isoenen_US
dc.publisherJournal of High Energy Physicsen_US
dc.subjectBlack Holes in String Theory
dc.subjectEffective Field Theories
dc.subjectGauge-gravity correspondence
dc.subjectHolography and quark-gluon plasmas
dc.subject.departmentDepartment of Physics and Astronomy
dc.titleThe complex life of hydrodynamic modesen_US
dc.typeArticleen_US

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