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Holographic Bjorken Flow at Large-D

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arxiv 1810.02314 v2 pith:ZD5LBP55 submitted 2018-10-04 hep-th hep-phnucl-th

classification hep-thhep-phnucl-th
keywords expansionlarge-ddiscussdynamicsgaugetrans-seriesagreementappear
verification ladder T0 review T1 audit T2 compute T3 formal
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We use gauge/gravity duality to study the dynamics of strongly coupled gauge theories undergoing boost invariant expansion in an arbitrary number of space-time dimensions (D). By keeping the scale of the late-time energy density fixed, we explore the infinite-D limit and study the first few corrections to this expansion. In agreement with other studies, we find that the large-D dynamics are controlled by hydrodynamics and we use our computation to constrain the leading large-D dependence of a certain combination of transport coefficients up to 6-th order in gradients. Going beyond late time physics, we discuss how non-hydrodynamic modes appear in the large-D expansion in the form of a trans-series in D, identical to the non-perturbative contributions to the gradient expansion. We discuss the consequence of this trans-series in the non-convergence of the large-D expansion.

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  1. Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres

    nucl-th 2019-08 conditional novelty 8.0 of 10

    A gas of hard spheres expanding in Bjorken flow has a constant Knudsen number, which yields an exact analytical hydrodynamic attractor and the first convergent gradient expansion in an expanding relativistic system.

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