Hydrodynamization in kinetic theory: Transient modes and the gradient expansion
pith:2BSEWB3G Add to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{2BSEWB3G}
Prints a linked pith:2BSEWB3G badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original abstract
We explore the transition to hydrodynamics in a weakly-coupled model of quark-gluon plasma given by kinetic theory in the relaxation time approximation with conformal symmetry. We demonstrate that the gradient expansion in this model has a vanishing radius of convergence due to the presence of a transient (nonhydrodynamic) mode, in a way similar to results obtained earlier in strongly-coupled gauge theories. This suggests that the mechanism by which hydrodynamic behaviour emerges is the same, which we further corroborate by a novel comparison between solutions of different weakly and strongly coupled models. However, in contrast with other known cases, we find that not all the singularities of the analytic continuation of the Borel transform of the gradient expansion correspond to transient excitations of the microscopic system: some of them reflect analytic properties of the kinetic equation when the proper time is continued to complex values.
This paper has not been read by Pith yet.
Forward citations
Cited by 1 Pith paper
-
Effect of non-conformal deformation on the gapped quasi-normal modes and the holographic implications
Non-conformal deformation via Einstein-dilaton gravity increases the radius of convergence of the derivative expansion for gapped quasinormal modes of a scalar operator in the holographic dual.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.