2003/03/03 by Pavel Kovtun, Laurence G. Yaffe · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Gravitation #Limit (mathematics) #Mathematics #Observable #Particle physics theoretical and experimental studies #Physics #Quantum electrodynamics #Quantum mechanics #Spectral density #Supergravity #Supersymmetry #Theoretical physics #Wavenumber #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.68.025007
published as Phys.Rev. D68 (2003) 025007
arxiv created 2003/03/03 · openalex publication_date 2003/07/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Hydrodynamic fluctuations at a nonzero temperature can cause slow relaxation toward equilibrium even in observables which are not locally conserved. A classic example is the stress-stress correlator in a normal fluid, which, at zero wave number, behaves at large times as t^\ensuremath-3/2. A novel feature of the effective theory of hydrodynamic fluctuations in supersymmetric theories is the presence of Grassmann-valued classical fields describing macroscopic supercharge density fluctuations. We show that hydrodynamic fluctuations in supersymmetric theories generate essentially the same long-time power-law tails in real-time correlation functions that are known in simple fluids. In particular, a t^\ensuremath-3/2 long-time tail must exist in the stress-stress correlator of N=4 supersymmetric Yang-Mills theory at non-zero temperature, regardless of the value of the coupling. Consequently, this feature of finite-temperature dynamics can provide an interesting test of the AdS/CFT correspondence. However, the coefficient of this long-time tail is suppressed by a factor of 1/Nc2. On the gravitational side, this implies that these long-time tails are not present in the classical supergravity limit; they must instead be produced by one-loop gravitational fluctuations.