Unequal rapidity correlators in the dilute limit of JIMWLK
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.
Keywords
Cite
@article{arxiv.1904.00782,
title = {Unequal rapidity correlators in the dilute limit of JIMWLK},
author = {Tuomas Lappi and Andrecia Ramnath},
journal= {arXiv preprint arXiv:1904.00782},
year = {2019}
}
Comments
18 pages, 1 figure