Relativistic Hydrodynamics: A Singulant Perspective

Michal P. Heller, Alexandre Serantes, Michał Spaliński, Viktor Svensson, Benjamin Withers

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskriftPeer review


There is growing evidence that the hydrodynamic gradient expansion is factorially divergent. We advocate for using Dingle's singulants as a way to gain analytic control over its large-order behavior for nonlinear flows. Within our approach, singulants can be viewed as new emergent degrees of freedom which reorganize the large-order gradient expansion. We work out the physics of singulants for longitudinal flows, where they obey simple evolution equations which we compute in Müller-Israel-Stewart-like models, holography, and kinetic theory. These equations determine the dynamics of the large-order behavior of the hydrodynamic expansion, which we confirm with explicit numerical calculations. One of our key findings is a duality between singulant dynamics and a certain linear response theory problem. Finally, we discuss the role of singulants in optimal truncation of the hydrodynamic gradient expansion. A by-product of our analysis is a new Müller-Israel-Stewart-like model, where the qualitative behavior of singulants shares more similarities with holography than models considered hitherto.

TidskriftPhysical Review X
StatusPublished - 2022 okt.

Bibliografisk information

Publisher Copyright:
© 2022 authors. Published by the American Physical Society.

Ämnesklassifikation (UKÄ)

  • Atom- och molekylfysik och optik


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