The non-linear Glasma

Abstract

We study the evolution of quantum fluctuations in the Glasma created immediately after the collision of heavy nuclei. It is shown how the presence of instabilities leads to an enhancement of non-linear interactions among initially small fluctuations. The non-linear dynamics leads to an enhanced growth of fluctuations in a large momentum region exceeding by far the originally unstable band. We investigate the dependence on the coupling constant at weak coupling using classical statistical lattice simulations for SU(2) gauge theory and show how these non-linearities can be analytically understood within the framework of two-particle irreducible (2PI) effective action techniques. The dependence on the coupling constant is only logarithmic in accordance with analytic expectations. Concerning the isotropization of bulk quantities, our results indicate that the system exhibits an order-one anisotropy on parametrically large time scales. Despite this fact, we find that gauge invariant pressure correlation functions seem to exhibit a power law behavior characteristic for wave turbulence.

16 pages, 7 figures, to appear in Phys. Rev. D

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• Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions
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• Diffusion of heavy quarks in the early stage of high-energy nuclear collisions at energies available at the BNL Relativistic Heavy Ion Collider and at the CERN Large Hadron Collider
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• Highly occupied gauge theories in 2+1 dimensions: self-similar attractor
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• Kinetic evolution of the glasma and thermalization in heavy ion collisions
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• Evolution of pressures and correlations in the Glasma produced in high energy nuclear collisions
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• Plasmon mass scale in two dimensional classical nonequilibrium gauge theory
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• Revisiting the Gluon Spectrum in the Boost-Invariant Glasma from a Semi-Analytic Approach
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