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

Kirill Boguslavski,
Aleksi Kurkela,
Tuomas Lappi,
Jarkko Peuron
Motivated by the boost-invariant Glasma state in the initial stages in heavy-ion collisions, we per-form classical-statistical simulations of SU(2) gauge theory in 2+1 dimensional space-time both with and without a scalar field in the adjoint representation. We show that irrespective of the details ofthe initial condition, the far-from-equilibrium evolution of these highly occupied systems approachesa unique universal attractor at high momenta that is the same for the gauge and scalar sectors. We extract the scaling exponents and the form of the distribution function close to this non-thermalfixed point. We find that the dynamics are governed by an energy cascade to higher momenta with scaling exponents α= 3β andβ=−1/5. We argue that these values can be obtained from parametric estimates within kinetic theory indicating the dominance of small momentum transfer in the scattering processes. We also extract the Debye mass non-perturbatively from a longitudinally polarized correlator and observe an IR enhancement of the scalar correlation function for low momenta below the Debye mass.
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Phys.Rev. D100 (2019) no.9, 094022