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Universal features of JIMWLK and BK evolution at small x

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arxiv hep-ph/0309306 v1 pith:WZNNKHGZ submitted 2003-09-26 hep-ph

classification hep-ph
keywords evolutionjimwlkasymptoticcouplingequationsfeaturesinitialnear
verification ladder T0 review T1 audit T2 compute T3 formal
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In this paper we present the results of numerical studies of the JIMWLK and BK equations with a particular emphasis on the universal scaling properties and phase space structure involved. The results are valid for near zero impact parameter in DIS. We demonstrate IR safety due to the occurrence of a rapidity dependent saturation scale Q_s(\tau). Within the set of initial conditions chosen both JIMWLK and BK equations show remarkable agreement. We point out the crucial importance of running coupling corrections to obtain consistency in the UV. Despite the scale breaking induced by the running coupling we find that evolution drives correlators towards an asymptotic form with near scaling properties. We discuss asymptotic features of the evolution, such as the \tau- and A-dependence of Q_s away from the initial condition.

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    This paper reviews the Color Glass Condensate effective theory, covering its foundations, its role in deep inelastic scattering, and its use in setting initial conditions for heavy-ion collisions.

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