Document detail
ID
oai:arXiv.org:2408.14316
Topic
Nuclear Theory Astrophysics - High Energy Astroph... High Energy Physics - TheoryAuthor
Gavassino, LorenzoCategory
sciences: astrophysics
Year
2024
listing date
11/13/2024
Keywords
relativistic prove convergence theoryAbstract
We rigorously prove that, in any relativistic kinetic theory whose non-hydrodynamic sector has a finite gap, the Taylor series of all hydrodynamic dispersion relations has a finite radius of convergence.
Furthermore, we prove that, for shear waves, such radius of convergence cannot be smaller than $1/2$ times the gap size.
Finally, we prove that the non-hydrodynamic sector is gapped whenever the total scattering cross-section (expressed as a function of the energy) is bounded below by a positive non-zero constant.
These results, combined with well-established covariant stability criteria, allow us to derive a rigorous upper bound on the shear viscosity of relativistic dilute gases.
;Comment: 10 pages, No figures, Published on PRD, see https://journals.aps.org/prd/abstract/10.1103/PhysRevD.110.094012
Gavassino, Lorenzo, 2024, Convergence of the hydrodynamic gradient expansion in relativistic kinetic theory
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