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arXiv · 1904.00782

Unequal rapidity correlators in the dilute limit of JIMWLK

Tuomas Lappi·Andrecia Ramnath
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Abstract

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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Tuomas Lappi, Andrecia Ramnath. 2019-04-01. Unequal rapidity correlators in the dilute limit of JIMWLK. https://doi.org/10.1103/physrevd.100.054003

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