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2015

Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation

Heller, Michal P., Spalinski, Michal

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Consistent formulations of relativistic viscous hydrodynamics involve short lived modes, leading to asymptotic rather than convergent gradient expansions.

In this Letter we consider the Mueller-Israel-Stewart theory applied to a longitudinally expanding quark-gluon plasma system and identify hydrodynamics as a universal attractor without invoking the gradient expansion.
We give strong evidence for the existence of this attractor and then show that it can be recovered from the divergent gradient expansion by Borel summation.
This requires careful accounting for the short-lived modes which leads to an intricate mathematical structure known from the theory of resurgence.

Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation · Around

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2013

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M. P. Heller, R. A. Janik, M. Spaliński, and P. Witaszczyk, “Coupling hydrodynamics to nonequilibrium degrees of freedom in strongly interacting quark-gluon plasma,” Phys.Rev.Lett

2014

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G. V. Dunne, “Resurgence and Trans-series in Quantum Theories,” Lectures given at the Schladming Winter School 2015

2015

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I. Aniceto and R. Schiappa, “Nonperturbative Ambiguities and the Reality of Resurgent Transseries,” Commun.Math.Phys

2015

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