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Phys."],"published-print":{"date-parts":[[2019,2]]},"abstract":"<jats:title>A<jats:sc>bstract<\/jats:sc>\n          <\/jats:title>\n          <jats:p>We show that the late-time expansion of the energy density of <jats:inline-formula>\n              <jats:alternatives>\n                <jats:tex-math>$$ \\mathcal{N} $$<\/jats:tex-math>\n                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>N<\/mml:mi>\n                <\/mml:math>\n              <\/jats:alternatives>\n            <\/jats:inline-formula> = 4 supersymmetric Yang-Mills plasma at infinite coupling undergoing Bjorken flow takes the form of a multi-parameter transseries. Using the AdS\/CFT correspondence we find a gravity solution which supplements the well known large proper-time expansion by exponentially-suppressed sectors corresponding to quasinormal modes of the AdS black-brane. The full solution also requires the presence of further sectors which have a natural interpretation as couplings between these modes. The exponentially-suppressed sectors represent nonhydrodynamic contributions to the energy density of the plasma. We use resurgence techniques on the resulting transseries to show that all the information encoded in the nonhydrodynamic sectors can be recovered from the original hydrodynamic gradient expansion.<\/jats:p>","DOI":"10.1007\/jhep02(2019)073","type":"journal-article","created":{"date-parts":[[2019,2,14]],"date-time":"2019-02-14T02:09:40Z","timestamp":1550110180000},"update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":31,"title":["The large proper-time expansion of Yang-Mills plasma as a resurgent transseries"],"prefix":"10.1007","volume":"2019","author":[{"given":"In\u00eas","family":"Aniceto","sequence":"first","affiliation":[]},{"given":"Jakub","family":"Jankowski","sequence":"additional","affiliation":[]},{"given":"Ben","family":"Meiring","sequence":"additional","affiliation":[]},{"given":"Micha\u0142","family":"Spali\u0144ski","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,2,13]]},"reference":[{"key":"9956_CR1","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6633\/aaa091","volume":"81","author":"W Florkowski","year":"2018","unstructured":"W. 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Spali\u0144ski, On the hydrodynamic attractor of Yang-Mills plasma, Phys. Lett.\n                           B 776 (2018) 468 [arXiv:1708.01921] [INSPIRE].","journal-title":"Phys. Lett."},{"key":"9956_CR12","doi-asserted-by":"publisher","first-page":"1113","DOI":"10.1023\/A:1026654312961","volume":"38","author":"JM Maldacena","year":"1999","unstructured":"J.M. Maldacena, The Large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys.\n                           38 (1999) 1113 [hep-th\/9711200] [INSPIRE].","journal-title":"Int. J. Theor. Phys."},{"key":"9956_CR13","unstructured":"J. Casalderrey-Solana, H. Liu, D. Mateos, K. Rajagopal and U.A. Wiedemann, Gauge\/String Duality, Hot QCD and Heavy Ion Collisions, arXiv:1101.0618 [INSPIRE]."},{"key":"9956_CR14","first-page":"140","volume":"D 27","author":"JD Bjorken","year":"1983","unstructured":"J.D. Bjorken, Highly Relativistic Nucleus-Nucleus Collisions: The Central Rapidity Region, Phys. 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Universit\u00e9 Paris-Sud\n                           81-05 (1981), 81-06 (1981), 85-05 (1985)."},{"key":"9956_CR26","doi-asserted-by":"publisher","first-page":"561","DOI":"10.1093\/imrn\/rnr029","volume":"2012","author":"S Garoufalidis","year":"2012","unstructured":"S. Garoufalidis, A. Its, A. Kapaev and M. Mari\u00f1o, Asymptotics of the instantons of Painlev\u00e9 I, Int. Math. Res. Not.\n                           2012 (2012) 561 [arXiv:1002.3634] [INSPIRE].","journal-title":"Int. Math. Res. Not."},{"key":"9956_CR27","doi-asserted-by":"publisher","first-page":"339","DOI":"10.4310\/CNTP.2012.v6.n2.a3","volume":"6","author":"I Aniceto","year":"2012","unstructured":"I. Aniceto, R. Schiappa and M. Vonk, The Resurgence of Instantons in String Theory, Commun. Num. Theor. Phys.\n                           6 (2012) 339 [arXiv:1106.5922] [INSPIRE].","journal-title":"Commun. Num. Theor. Phys."},{"key":"9956_CR28","doi-asserted-by":"publisher","first-page":"655","DOI":"10.1007\/s00220-014-2028-7","volume":"330","author":"R Schiappa","year":"2014","unstructured":"R. Schiappa and R. Vaz, The Resurgence of Instantons: Multi-Cut Stokes Phases and the Painlev\u00e9 II Equation, Commun. Math. Phys.\n                           330 (2014) 655 [arXiv:1302.5138] [INSPIRE].","journal-title":"Commun. Math. Phys."},{"key":"9956_CR29","volume":"A 49","author":"I Aniceto","year":"2016","unstructured":"I. Aniceto, The Resurgence of the Cusp Anomalous Dimension, J. Phys.\n                           A 49 (2016) 065403 [arXiv:1506.03388] [INSPIRE].","journal-title":"J. Phys."},{"key":"9956_CR30","doi-asserted-by":"publisher","first-page":"138","DOI":"10.1007\/JHEP09(2015)138","volume":"09","author":"D Dorigoni","year":"2015","unstructured":"D. Dorigoni and Y. Hatsuda, Resurgence of the Cusp Anomalous Dimension, JHEP\n                           09 (2015) 138 [arXiv:1506.03763] [INSPIRE].","journal-title":"JHEP"},{"key":"9956_CR31","doi-asserted-by":"publisher","first-page":"055","DOI":"10.1007\/JHEP01(2017)055","volume":"01","author":"G Arutyunov","year":"2017","unstructured":"G. Arutyunov, D. Dorigoni and S. Savin, Resurgence of the dressing phase for AdS\n                           5 \u00d7 S\n                           5, JHEP\n                           01 (2017) 055 [arXiv:1608.03797] [INSPIRE].","journal-title":"JHEP"},{"key":"9956_CR32","doi-asserted-by":"crossref","unstructured":"R. Couso-Santamar\u00eda, R. Schiappa and R. Vaz, On asymptotics and resurgent structures of enumerative Gromov-Witten invariants, Commun. Num. Theor. Phys.\n                           11 (2017) 707 [arXiv:1605.07473] [INSPIRE].","DOI":"10.4310\/CNTP.2017.v11.n4.a1"},{"key":"9956_CR33","doi-asserted-by":"crossref","unstructured":"C.M. Bender and T.T. Wu, Anharmonic oscillator. 2: A Study of perturbation theory in large order, Phys. Rev.\n                           D 7 (1973) 1620 [INSPIRE].","DOI":"10.1103\/PhysRevD.7.1620"},{"key":"9956_CR34","doi-asserted-by":"publisher","first-page":"349","DOI":"10.4310\/CNTP.2008.v2.n2.a3","volume":"2","author":"M Mari\u00f1o","year":"2008","unstructured":"M. Mari\u00f1o, R. Schiappa and M. Weiss, Nonperturbative Effects and the Large-Order Behavior of Matrix Models and Topological Strings, Commun. Num. Theor. Phys.\n                           2 (2008) 349 [arXiv:0711.1954] [INSPIRE].","journal-title":"Commun. Num. Theor. Phys."},{"key":"9956_CR35","doi-asserted-by":"crossref","first-page":"041","DOI":"10.1007\/JHEP10(2013)041","volume":"10","author":"G Ba\u015far","year":"2013","unstructured":"G. Ba\u015far, G.V. Dunne and M. \u00dcnsal, Resurgence theory, ghost-instantons and analytic continuation of path integrals, JHEP\n                           10 (2013) 041 [arXiv:1308.1108] [INSPIRE].","journal-title":"JHEP"},{"key":"9956_CR36","doi-asserted-by":"crossref","unstructured":"R. Couso-Santamar\u00eda, J.D. Edelstein, R. Schiappa and M. Vonk, Resurgent Transseries and the Holomorphic Anomaly: Nonperturbative Closed Strings in Local \u2102\u21192, Commun. Math. Phys.\n                           338 (2015) 285 [arXiv:1407.4821] [INSPIRE].","DOI":"10.1007\/s00220-015-2358-0"},{"key":"9956_CR37","first-page":"125011","volume":"D 92","author":"G Ba\u015far","year":"2015","unstructured":"G. Ba\u015far and G.V. Dunne, Hydrodynamics, resurgence and transasymptotics, Phys. Rev.\n                           D 92 (2015) 125011 [arXiv:1509.05046] [INSPIRE].","journal-title":"Phys. Rev."},{"key":"9956_CR38","doi-asserted-by":"crossref","unstructured":"I. Aniceto, Asymptotics, ambiguities and resurgence, in Resurgence, Physics and Numbers, F. Fauvet, D. Manchon, S. Marmi and D. Sauzin eds., Pisa, pp. 1, Scuola Normale Superiore (2017).","DOI":"10.1007\/978-88-7642-613-1_1"},{"key":"9956_CR39","volume":"A 51","author":"S Codesido","year":"2018","unstructured":"S. Codesido and M. Mari\u00f1o, Holomorphic Anomaly and Quantum Mechanics, J. Phys.\n                           A 51 (2018) 055402 [arXiv:1612.07687] [INSPIRE].","journal-title":"J. Phys."},{"key":"9956_CR40","doi-asserted-by":"publisher","first-page":"088","DOI":"10.1007\/JHEP07(2016)088","volume":"07","author":"S Demulder","year":"2016","unstructured":"S. Demulder, D. Dorigoni and D.C. Thompson, Resurgence in \u03b7-deformed Principal Chiral Models, JHEP\n                           07 (2016) 088 [arXiv:1604.07851] [INSPIRE].","journal-title":"JHEP"},{"key":"9956_CR41","unstructured":"S. Gukov, M. Mari\u00f1o and P. Putrov, Resurgence in complex Chern-Simons theory, arXiv:1605.07615 [INSPIRE]."},{"key":"9956_CR42","doi-asserted-by":"publisher","first-page":"012","DOI":"10.21468\/SciPostPhys.4.2.012","volume":"4","author":"D Dorigoni","year":"2018","unstructured":"D. Dorigoni and P. Glass, The grin of Cheshire cat resurgence from supersymmetric localization, SciPost Phys.\n                           4 (2018) 012 [arXiv:1711.04802] [INSPIRE].","journal-title":"SciPost Phys."},{"key":"9956_CR43","unstructured":"S. Codesido, M. Mari\u00f1o and R. Schiappa, Non-Perturbative Quantum Mechanics from Non-Perturbative Strings, arXiv:1712.02603 [INSPIRE]."},{"key":"9956_CR44","doi-asserted-by":"crossref","unstructured":"R. Balian, G. Parisi and A. Voros, Quartic oscillator, in Marseille Workshop on Feynman Path Integrals, (1978) [INSPIRE].","DOI":"10.1007\/3-540-09532-2_85"},{"key":"9956_CR45","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1016\/0370-1573(81)90016-8","volume":"70","author":"J Zinn-Justin","year":"1981","unstructured":"J. Zinn-Justin, Perturbation Series at Large Orders in Quantum Mechanics and Field Theories: Application to the Problem of Resummation, Phys. Rept.\n                           70 (1981) 109 [INSPIRE].","journal-title":"Phys. Rept."},{"key":"9956_CR46","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.98.022302","volume":"98","author":"RA Janik","year":"2007","unstructured":"R.A. Janik, Viscous plasma evolution from gravity using AdS\/CFT, Phys. Rev. Lett.\n                           98 (2007) 022302 [hep-th\/0610144] [INSPIRE].","journal-title":"Phys. Rev. Lett."},{"key":"9956_CR47","volume":"D 76","author":"MP Heller","year":"2007","unstructured":"M.P. Heller and R.A. Janik, Viscous hydrodynamics relaxation time from AdS\/CFT, Phys. Rev.\n                           D 76 (2007) 025027 [hep-th\/0703243] [INSPIRE].","journal-title":"Phys. Rev."},{"key":"9956_CR48","first-page":"126013","volume":"D 80","author":"I Booth","year":"2009","unstructured":"I. Booth, M.P. Heller and M. Spali\u0144ski, Black brane entropy and hydrodynamics: The Boost-invariant case, Phys. Rev.\n                           D 80 (2009) 126013 [arXiv:0910.0748] [INSPIRE].","journal-title":"Phys. Rev."},{"key":"9956_CR49","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.102.041601","volume":"102","author":"MP Heller","year":"2009","unstructured":"M.P. Heller, P. Surowka, R. Loganayagam, M. Spali\u0144ski and S.E. Vazquez, Consistent Holographic Description of Boost-Invariant Plasma, Phys. Rev. Lett.\n                           102 (2009) 041601 [arXiv:0805.3774] [INSPIRE].","journal-title":"Phys. Rev. Lett."},{"key":"9956_CR50","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1143\/PTP.121.121","volume":"121","author":"S Kinoshita","year":"2009","unstructured":"S. Kinoshita, S. Mukohyama, S. Nakamura and K.-y. Oda, A Holographic Dual of Bjorken Flow, Prog. Theor. Phys.\n                           121 (2009) 121 [arXiv:0807.3797] [INSPIRE].","journal-title":"Prog. Theor. Phys."},{"key":"9956_CR51","doi-asserted-by":"publisher","first-page":"086","DOI":"10.1007\/JHEP07(2014)086","volume":"07","author":"PM Chesler","year":"2014","unstructured":"P.M. Chesler and L.G. Yaffe, Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes, JHEP\n                           07 (2014) 086 [arXiv:1309.1439] [INSPIRE].","journal-title":"JHEP"},{"key":"9956_CR52","volume":"D 74","author":"RA Janik","year":"2006","unstructured":"R.A. Janik and R.B. Peschanski, Gauge\/gravity duality and thermalization of a boost-invariant perfect fluid, Phys. Rev.\n                           D 74 (2006) 046007 [hep-th\/0606149] [INSPIRE].","journal-title":"Phys. Rev."},{"key":"9956_CR53","first-page":"126013","volume":"D 91","author":"RA Janik","year":"2015","unstructured":"R.A. Janik, G. Plewa, H. Soltanpanahi and M. Spali\u0144ski, Linearized nonequilibrium dynamics in nonconformal plasma, Phys. Rev.\n                           D 91 (2015) 126013 [arXiv:1503.07149] [INSPIRE].","journal-title":"Phys. Rev."},{"key":"9956_CR54","volume":"D 72","author":"PK Kovtun","year":"2005","unstructured":"P.K. Kovtun and A.O. Starinets, Quasinormal modes and holography, Phys. Rev.\n                           D 72 (2005) 086009 [hep-th\/0506184] [INSPIRE].","journal-title":"Phys. Rev."},{"key":"9956_CR55","doi-asserted-by":"publisher","first-page":"1","DOI":"10.12942\/lrr-2009-1","volume":"12","author":"P Grandclement","year":"2009","unstructured":"P. Grandclement and J. Novak, Spectral methods for numerical relativity, Living Rev. Rel.\n                           12 (2009) 1 [arXiv:0706.2286] [INSPIRE].","journal-title":"Living Rev. Rel."},{"key":"9956_CR56","doi-asserted-by":"publisher","first-page":"595","DOI":"10.1007\/s002200100381","volume":"217","author":"S de Haro","year":"2001","unstructured":"S. de Haro, S.N. Solodukhin and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS\/CFT correspondence, Commun. Math. Phys.\n                           217 (2001) 595 [hep-th\/0002230] [INSPIRE].","journal-title":"Commun. Math. Phys."},{"key":"9956_CR57","unstructured":"D. Sauzin, Introduction to 1-Summability and Resurgence, in Divergent Series, Summability and Resurgence I, Lect. Notes Math.\n                           2153 (2016) 121 [arXiv:1405.0356]."},{"key":"9956_CR58","doi-asserted-by":"crossref","unstructured":"U.D. Jentschura and G. Soff, Improved conformal mapping of the Borel plane, J. 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Costin and G.V. Dunne, Convergence from Divergence, J. Phys.\n                           A 51 (2018) 04LT01 [arXiv:1705.09687] [INSPIRE].","DOI":"10.1088\/1751-8121\/aa9e30"},{"key":"9956_CR62","unstructured":"O. Costin and G. Dunne, in preparation."},{"key":"9956_CR63","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1016\/j.physletb.2018.07.003","volume":"B 784","author":"M Spali\u0144ski","year":"2018","unstructured":"M. Spali\u0144ski, Universal behaviour, transients and attractors in supersymmetric Yang-Mills plasma, Phys. Lett.\n                           B 784 (2018) 21 [arXiv:1805.11689] [INSPIRE].","journal-title":"Phys. Lett."},{"key":"9956_CR64","volume":"D 98","author":"MP Heller","year":"2018","unstructured":"M.P. Heller and V. Svensson, How does relativistic kinetic theory remember about initial conditions?, Phys. Rev.\n                           D 98 (2018) 054016 [arXiv:1802.08225] [INSPIRE].","journal-title":"Phys. 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