The nonlinear glasma
Sep, 2012
15 pages
Published in:
- Phys.Rev.D 87 (2013) 1, 014026
- Published: Jan 31, 2013
e-Print:
- 1209.0817 [hep-ph]
View in:
Citations per year
Abstract: (APS)
We study the evolution of quantum fluctuations in the glasma, created immediately after the collision of heavy nuclei. We show how the presence of instabilities leads to an enhancement of nonlinear interactions among initially small fluctuations. The nonlinear 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 nonlinearities can be analytically understood within the framework of two-particle irreducible 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.Note:
- 16 pages, 7 figures, to appear in Phys. Rev. D
- 11.15.Ha
- 98.80.Cq
- 12.38.Mh
- interaction: nonlinear
- fluctuation: quantum
- coupling constant
- glasma
- correlation function
- effective action
- weak coupling
References(77)
Figures(13)
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