How big are the smallest drops of quark-gluon plasma?

Abstract

Using holographic duality, we present results for both head-on and off-center collisions of Gaussian shock waves in strongly coupled $\mathcal{N}=4$ supersymmetric Yang-Mills theory. The shock waves superficially resemble Lorentz contracted colliding protons. The collisions results in the formation of a plasma whose evolution is well described by viscous hydrodynamics. The size of the produced droplet is $R\sim 1/T_{\mathrm{eff}}$ where $T_{\mathrm{eff}}$ is the effective temperature, which is the characteristic microscopic scale in strongly coupled plasma. These results demonstrate the applicability of hydrodynamics to microscopically small systems and bolster the notion that hydrodynamics can be applied to heavy-light ion collisions as well as some proton-proton collisions.

21 pages, 7 figures, typos corrected

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• Nonlinear Fluid Dynamics from Gravity
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
• Holography and colliding gravitational shock waves in asymptotically AdS_5 spacetime
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