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.
Non-perturbative quark production and transport in the evolving glasma: the WAGASHI event generator
Institute of Physics, Academia Sinica(中央研究院物理研究所);Physics Program, Graduate School of Advanced Science and Engineering, Hiroshima University(广岛大学先进理工学研究科物理项目);Kobayashi Maskawa Institute, Nagoya University(名古屋大学小林-益川研究所);International Institute for Sustainability with Knotted Chiral Meta Matter, Hiroshima University(广岛大学螺旋手性超物质可持续国际研究所);Hiyoshi Department of Physics and Research and Education Center for Natural Sciences, Keio University(庆应义塾大学日吉理学部及自然科学研究与教育中心);iTHEMS, TRIP Headquarters, RIKEN(理化学研究所iTHEMS/TRIP总部)