Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-11-04
Acta Phys.Polon. B42 (2011) 2697-2715
Physics
High Energy Physics
High Energy Physics - Phenomenology
19pages, 14figures; Lectures given at 51st Cracow School of Theoretical Physics; typos corrected
Scientific paper
10.5506/APhysPolB.42.2697
We present a pedagogical introduction to the theoretical framework of the Color Glass Condensate (CGC) and the McLerran-Venugopalan (MV) model. We discuss the application of the MV model to describe the early-time dynamics of the relativistic heavy-ion collision. Without longitudinal fluctuations the classical time evolution maintains the boost invariance, while an instability develops once fluctuations that break boost invariance are included. We show that this "Glasma instability" enhances rapidity-dependent variations as long as self-interactions among unstable modes stay weak and the system resides in the linear regime. Eventually the amplitude of unstable modes becomes so large that the growth of instability gets saturated. In this non-linear regime the numerical simulations of the Glasma lead to turbulent energy flow from low-frequency modes to higher-frequency modes, which results in a characteristic power-law spectrum. The power found in numerical simulation of the expanding Glasma system turns out to be consistent with Kolmogorov's -5/3 scaling.
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