"Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation"

Presented by Michael Heller, Perimeter Institute

Friday, April 10, 2015, 2:00 pm — Small Seminar Room, Bldg. 510

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