2013/02/28 by Michal P. Heller, Michał P. Heller, Romuald A. Janik +2
Engineering · Physics and Astronomy · #Balanced flow #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Dissipative system #Fluid Dynamics and Turbulent Flows #Gauge theory #Mathematical analysis #Mathematical physics #Physics #Power series #Quantum electrodynamics #Quantum mechanics #Radius of convergence #Singularity #gr-qc #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevlett.110.211602
published as Phys. Rev. Lett. 110, 211602 (2013) · v2: 4+2 pages, 2 figures, title changed by journal, supplemental material incorporated into the preprint, energy density coefficients up to 240th order included in the submission (change in normalization with respect to v1), matches published version
openalex publication_date 2013/05/22 · arxiv created 2013/05/24 · arxiv updated 2013/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We utilize the fluid-gravity duality to investigate the large order behavior of hydrodynamic gradient expansion of the dynamics of a gauge theory plasma system. This corresponds to the inclusion of dissipative terms and transport coefficients of very high order. Using the dual gravity description, we calculate numerically the form of the stress tensor for a boost-invariant flow in a hydrodynamic expansion up to terms with 240 derivatives. We observe a factorial growth of gradient contributions at large orders, which indicates a zero radius of convergence of the hydrodynamic series. Furthermore, we identify the leading singularity in the Borel transform of the hydrodynamic energy density with the lowest nonhydrodynamic excitation corresponding to a 'nonhydrodynamic' quasinormal mode on the gravity side.