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Motivated by the boost-invariant Glasma state in the initial stages inheavy-ion collisions, we perform classical-statistical simulations of SU(2)gauge theory in 2+1 dimensional space-time both with and without a scalar fieldin the adjoint representation. We show that irrespective of the details of theinitial condition, the far-from-equilibrium evolution of these highly occupiedsystems approaches a unique universal attractor at high momenta that is thesame for the gauge and scalar sectors. We extract the scaling exponents and theform of the distribution function close to this non-thermal fixed point. Wefind that the dynamics are governed by an energy cascade to higher momenta withscaling exponents $\alpha = 3\beta$ and $\beta = -1/5$. We argue that thesevalues can be obtained from parametric estimates within kinetic theoryindicating the dominance of small momentum transfer in the scatteringprocesses. We also extract the Debye mass non-perturbatively from alongitudinally polarized correlator and observe an IR enhancement of the scalarcorrelation function for low momenta below the Debye mass.

Highly occupied gauge theories in 2+1 dimensions: self-similar attractor