Abstract
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 6th 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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Casalderrey-Solana, J., Herzog, C.P. & Meiring, B. Holographic Bjorken flow at large-D. J. High Energ. Phys. 2019, 181 (2019). https://doi.org/10.1007/JHEP01(2019)181
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DOI: https://doi.org/10.1007/JHEP01(2019)181