Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of hydrodynamic modes: insights from kinetic theory and
  holography   We study the mechanisms setting the radius of convergence of hydrodynamic
dispersion relations in kinetic theory in the relaxation time approximation.
This introduces a qualitatively new feature with respect to holography: a
nonhydrodynamic sector represented by a branch cut in the retarded Green's
function. In contrast with existing holographic examples, we find that the
radius of convergence in the shear channel is set by a collision of the
hydrodynamic pole with a branch point. In the sound channel it is set by a
pole-pole collision on a non-principal sheet of the Green's function. More
generally, we examine the consequences of the Implicit Function Theorem in
hydrodynamics and give a prescription to determine a set of points that
necessarily includes all complex singularities of the dispersion relation. This
may be used as a practical tool to assist in determining the radius of
convergence of hydrodynamic dispersion relations.

13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph