Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation - INSPIRE

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Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation

Mar 25, 2015

5 pages

Published in:

Phys.Rev.Lett. 115 (2015) 7, 072501

Published: Aug 14, 2015

e-Print:

1503.07514 [hep-th]

DOI:

10.1103/PhysRevLett.115.072501

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Abstract: (APS)

Consistent formulations of relativistic viscous hydrodynamics involve short-lived modes, leading to asymptotic rather than convergent gradient expansions. In this Letter we consider the Müller-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.

Note:

Presentation improved, typos fixed; roughly matches the published version

24.10.Nz
11.25.Tq
12.38.Mh
expansion: gradient
hydrodynamics: viscosity
quark gluon: plasma
attractor
Borel transformation
resummation
structure

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