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Unequal rapidity correlators in the dilute limit of JIMWLK
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We study unequal rapidity correlators in the stochastic Langevin picture of Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner (JIMWLK) evolution in the Color Glass Condensate effective field theory. We discuss a diagrammatic interpretation of the long-range correlators. By separately evolving the Wilson lines in the direct and complex conjugate amplitudes, we use the formalism to study two-particle production at large rapidity separations. We show that the evolution between the rapidities of the two produced particles can be expressed as a linear equation, even in the full nonlinear limit. We also show how the Langevin formalism for two-particle correlations reduces to a BFKL picture in the dilute limit and in momentum space, providing an interpretation of BFKL evolution as a stochastic process for color charges.
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Unequal rapidity correlators in the dilute limit of JIMWLK
Unequal-rapidity two-particle correlators in JIMWLK evolve linearly even in the nonlinear regime; in the dilute limit the Langevin formulation reduces to BFKL evolution.
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