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  Hydrodynamization in kinetic theory: Transient modes and the gradient expansion

Heller, M. P., Kurkela, A., Spalinski, M., & Svensson, V. (2018). Hydrodynamization in kinetic theory: Transient modes and the gradient expansion. Physical Review D, 97: 091503. doi:10.1103/PhysRevD.97.091503.

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 Urheber:
Heller, Michal P.1, Autor           
Kurkela, Aleksi, Autor
Spalinski, Michal, Autor
Svensson, Viktor, Autor
Affiliations:
1Gravity, Quantum Fields and Information, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_2477692              

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Schlagwörter: Nuclear Theory, nucl-th,High Energy Physics - Phenomenology, hep-ph,High Energy Physics - Theory, hep-th, Physics, Fluid Dynamics, physics.flu-dyn
 Zusammenfassung: 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.

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 Datum: 2016-09-152018-06-102018
 Publikationsstatus: Erschienen
 Seiten: 6 pages, 2 figures, v2: author added, major rewrite, mysterious off real axis singularities in the Borel plane explained (!), see also arXiv:1802.08225 [nucl-th] by Heller and Svensson; v3: references added, minor improvements in the text, first 426 terms from Eq. (8) included in the submission; v4: title changed, matches published version
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Titel: Physical Review D
  Andere : Phys. Rev. D.
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: Lancaster, Pa. : American Physical Society
Seiten: - Band / Heft: 97 Artikelnummer: 091503 Start- / Endseite: - Identifikator: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258