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arXiv · 0802.1714

Instabilities of an anisotropically expanding non-Abelian plasma: 1D+3V discretized hard-loop simulations

Anton Rebhan·Michael Strickland·Maximilian Attems
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Abstract

Non-Abelian plasma instabilities play a crucial role in the nonequilibrium dynamics of a weakly coupled quark-gluon plasma and they importantly modify the standard perturbative bottom-up thermalization scenario in heavy-ion collisions. Using the auxiliary-field formulation of the hard-loop effective theory, we study numerically the real time evolution of instabilities in an anisotropic collisionless Yang-Mills plasma expanding longitudinally in free streaming. In this first real-time lattice simulation we consider the most unstable modes, long-wavelength coherent color fields that are constant in transverse directions and which therefore are effectively 1+1-dimensional in spacetime, except for the auxiliary fields which also depend on discretized momentum rapidity and transverse velocity components. We reproduce the semi-analytical results obtained previously for the Abelian regime and we determine the nonlinear effects which occur when the instabilities have grown such that non-Abelian interactions become important.

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Anton Rebhan, Michael Strickland, Maximilian Attems. 2008-07-11. Instabilities of an anisotropically expanding non-Abelian plasma: 1D+3V discretized hard-loop simulations. https://doi.org/10.1103/physrevd.78.045023

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