Unequal rapidity correlators in the dilute limit of the JIMWLK evolution
Lappi, Tuomas; Ramnath, Andrecia (2019). Unequal rapidity correlators in the dilute limit of the JIMWLK evolution. Physical review D, 100 (5-1), 054003. DOI: 10.1103/PhysRevD.100.054003
Published inPhysical review D
© The Authors 2019
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 Balitsky-Fadin-Kuraev-Lipatov (BFKL) picture in the dilute limit and in momentum space, providing an interpretation of BFKL evolution as a stochastic process for color charges.