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Transseries for causal diffusive systems

Authors
  • Heller, Michal P.1, 2
  • Serantes, Alexandre2
  • Spaliński, Michał2, 3
  • Svensson, Viktor1, 2
  • Withers, Benjamin4
  • 1 Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam-Golm, 14476, Germany , Potsdam-Golm (Germany)
  • 2 National Centre for Nuclear Research, Warsaw, 02-093, Poland , Warsaw (Poland)
  • 3 University of Białystok, Białystok, 15-245, Poland , Białystok (Poland)
  • 4 University of Southampton, Highfield, Southampton, SO17 1BJ, U.K. , Southampton (United Kingdom)
Type
Published Article
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Publication Date
Apr 20, 2021
Volume
2021
Issue
4
Identifiers
DOI: 10.1007/JHEP04(2021)192
Source
Springer Nature
Keywords
License
Green

Abstract

The large proper-time behaviour of expanding boost-invariant fluids has provided many crucial insights into quark-gluon plasma dynamics. Here we formulate and explore the late-time behaviour of nonequilibrium dynamics at the level of linearized perturbations of equilibrium, but without any special symmetry assumptions. We introduce a useful quantitative approximation scheme in which hydrodynamic modes appear as perturbative contributions while transients are nonperturbative. In this way, solutions are naturally organized into transseries as they are in the case of boost-invariant flows. We focus our attention on the ubiquitous telegrapher’s equation, the simplest example of a causal theory with a hydrodynamic sector. In position space we uncover novel transient contributions as well as Stokes phenomena which change the structure of the transseries based on the spacetime region or the choice of initial data.

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