Universality of energy-momentum response in kinetic theories

We study the response of the energy-momentum tensor in several kinetic theories, from the simple relaxation time approximation (RTA) to Quantum Chromodynamics (QCD). Irrespective of the differences in microscopic properties, we find a remarkable degree of universality in the response functions from conformal theories. We find that the response to scalar perturbations in kinetic theory can be effectively described by a pair of one hydrodynamic sound mode and one non-hydrodynamic mode. We find that even beyond the range of validity of hydrodynamics, the energy-momentum response in position space can be effectively described by one single mode with non-trivial dispersion relation and residue. (c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.

Automated summary

This article studies the response of the energy-momentum tensor in various kinetic theories, ranging from the simple relaxation time approximation to Quantum Chromodynamics. Regardless of the differences in microscopic properties, there is a remarkable universality in the response functions from conformal theories. The response to scalar perturbations in kinetic theory can be effectively described by a pair of one hydrodynamic sound mode and one non-hydrodynamic mode. Even beyond the range of validity of hydrodynamics, the energy-momentum response in position space can be effectively described by one single mode with a non-trivial dispersion relation and residue.