Published for SISSA by Springer Received: May 23, 2018 Revised: March 3, 2019 Accepted: March 11, 2019 Published: March 25, 2019 Holographic viscoelastic hydrodynamics JHEP03(2019)146 Alex Buchela;b;c and Matteo Baggiolid aDepartment of Applied Mathematics, Western University, Middlesex College Room 255, 1151 Richmond Street, London, Ontario, N6A 5B7 Canada bThe Department of Physics and Astronomy, PAB Room 138, 1151 Richmond Street, London, Ontario, N6A 3K7 Canada cPerimeter Institute for Theoretical Physics, 31 Caroline St N, Waterloo, ON, N2L 2Y5 Canada dCrete Center for Theoretical Physics, Physics Department, University of Crete, P.O. Box 2208, Heraklion, Crete, 71003 Greece E-mail:
[email protected],
[email protected] Abstract: Relativistic fluid hydrodynamics, organized as an effective field theory in the velocity gradients, has zero radius of convergence due to the presence of non-hydrodynamic excitations. Likewise, the theory of elasticity of brittle solids, organized as an effective field theory in the strain gradients, has zero radius of convergence due to the process of the thermal nucleation of cracks. Viscoelastic materials share properties of both fluids and solids. We use holographic gauge theory/gravity correspondence to study all order hydrodynamics of relativistic viscoelastic media. Keywords: Gauge-gravity correspondence, Holography and condensed matter physics (AdS/CMT), AdS-CFT Correspondence, Holography and quark-gluon plasmas ArXiv ePrint: 1805.06756 Open Access, c The Authors. https://doi.org/10.1007/JHEP03(2019)146