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Within the relaxation time approximation under a constant mass profile, we investigate the collective dynamics of a system of massive relativistic particles described by the Maxwell-Boltzmann equilibrium distribution. We analytically derive…

Nuclear Theory · Physics 2025-07-16 Ali Hataei , Roya Heydari , Farid Taghinavaz

The relaxation time approximation (RTA) of the kinetic Boltzmann equation is likely the simplest window into the microscopic properties of collective real-time transport. Within this framework, we analytically compute all retarded two-point…

High Energy Physics - Theory · Physics 2024-07-23 Matej Bajec , Sašo Grozdanov , Alexander Soloviev

How physical systems approach hydrodynamic behavior is governed by the decay of nonhydrodynamic modes. Here, we start from a relativistic kinetic theory that encodes relaxation mechanisms governed by different timescales thus sharing…

High Energy Physics - Phenomenology · Physics 2017-12-13 Aleksi Kurkela , Urs Achim Wiedemann

Quasinormal modes of asymptotically AdS black holes can be interpreted as poles of retarded correlators in the dual gauge theory. To determine the response of the system to small external perturbations it is not enough to know the location…

High Energy Physics - Theory · Physics 2008-11-26 Irene Amado , Carlos Hoyos , Karl Landsteiner , Sergio Montero

Understanding hydrodynamization in microscopic models of heavy-ion collisions has been an important topic in current research. Many lessons obtained within the strongly-coupled (holographic) models originate from the properties of transient…

Nuclear Theory · Physics 2018-09-24 Michal P. Heller , Viktor Svensson

In this paper, we give a rigorous mathematical justification for the relaxation time approximation (RTA) model. We find that only the RTA with an energy-independent relaxation time can be justified in the case of hard interactions.…

High Energy Physics - Phenomenology · Physics 2026-01-28 Jin Hu

Quasiparticle dynamics in relativistic plasmas associated with hot, weakly-coupled gauge theories (such as QCD at asymptotically high temperature $T$) can be described by an effective kinetic theory, valid on sufficiently large time and…

High Energy Physics - Phenomenology · Physics 2010-02-16 Peter Arnold , Guy D. Moore , Laurence G. Yaffe

We discuss the sequence of effective theories needed to understand the qualitative, and quantitative, behavior of real-time correlators < A(t) A(0) > in ultra-relativistic plasmas. We analyze in detail the case where A is a gauge-invariant…

High Energy Physics - Phenomenology · Physics 2010-02-16 Peter Arnold , Laurence G. Yaffe

We compute numerically the full retarded Green's functions for conserved currents in the shear channel of a (2+1)-dimensional field theory at non-zero temperature and density. This theory is assumed to be holographically dual to a…

High Energy Physics - Theory · Physics 2011-09-21 Daniel K. Brattan , Simon A. Gentle

We analytically compute the low-temperature charge correlators in near-extremal black holes with a planar horizon and an infrared $\mathrm{AdS}_2\times \Bbb{R}^2$ extremal geometry, finding excellent agreement with numerical calculations.…

High Energy Physics - Theory · Physics 2025-10-09 Blaise Goutéraux , David M. Ramirez , Mikel Sanchez-Garitaonandia , Clément Supiot

We explore the analytical properties of the traceless stress tensor 2-point function at zero momentum and small frequency (relevant for shear viscosity and hydrodynamic response) in hot, weakly coupled lambda phi^4 theory. We show that,…

High Energy Physics - Phenomenology · Physics 2018-06-13 Guy D. Moore

We investigate the analytic structure of thermal energy-momentum tensor correlators at large but finite coupling in quantum field theories with gravity duals. We compute corrections to the quasinormal spectra of black branes due to the…

High Energy Physics - Theory · Physics 2016-10-18 Sašo Grozdanov , Nikolaos Kaplis , Andrei O. Starinets

A recent mode coupling theory of higher-order correlation functions is tested on a simple hard-sphere fluid system at intermediate densities. Multi-point and multi-time correlation functions of the densities of conserved variables are…

Statistical Mechanics · Physics 2009-11-07 Ramses van Zon , Jeremy Schofield

The effective low temperature dynamics of near-extremal black holes is governed by the quantum fluctuations of the Schwarzian mode of JT gravity. Utilizing as a proxy a planar charged black hole in asymptotically Anti-de-Sitter spacetime,…

High Energy Physics - Theory · Physics 2024-01-26 Lucas Daguerre

Hydrodynamic transport coefficients may be evaluated from first principles in a weakly coupled scalar field theory at arbitrary temperature. In a theory with cubic and quartic interactions, the infinite class of diagrams which contribute to…

High Energy Physics - Phenomenology · Physics 2009-10-28 Sangyong Jeon

The Einstein-Proca action is known to have asymptotically locally Lifshitz spacetimes as classical solutions. For dynamical exponent z=2, two-point correlation functions for fluctuations around such a geometry are derived analytically. It…

High Energy Physics - Theory · Physics 2015-06-17 Tobias Zingg

We compute a variety of two and three-point real-time correlation functions for a strongly-coupled non-relativistic field theory. We focus on the theory conjectured to be dual to the Schr\"{o}dinger-invariant gravitational spacetime…

High Energy Physics - Theory · Physics 2011-03-07 Edwin Barnes , Diana Vaman , Chaolun Wu

Hydrodynamic fluctuations at non-zero 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…

High Energy Physics - Theory · Physics 2009-11-10 Pavel Kovtun , Laurence G. Yaffe

Starting from the Liouville equation, and using a BBGKY-like hierarchy, we derive a kinetic equation for the point vortex gas in two-dimensional (2D) hydrodynamics, taking two-body correlations and collective effects into account. This…

Statistical Mechanics · Physics 2015-05-30 Pierre-Henri Chavanis

We study one-loop corrections to retarded and symmetric hydrostatic correlation functions within the Schwinger-Keldysh effective field theory framework for relativistic hydrodynamics, focusing on charge diffusion. We first consider the…

High Energy Physics - Theory · Physics 2021-02-25 Akash Jain , Pavel Kovtun , Adam Ritz , Ashish Shukla
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