6533b85efe1ef96bd12bf35e
RESEARCH PRODUCT
Unequal rapidity correlators in the dilute limit of the JIMWLK evolution
Tuomas LappiAndrecia Ramnathsubject
COLLISIONSPosition and momentum spacehiukkasfysiikkafield theory114 Physical sciences01 natural sciencesColor-glass condensatenuclear physicsINFINITE-MOMENTUM0103 physical sciencesEQUATIONEffective field theorySCATTERINGRapidity010306 general physicsMathematical physicsPhysicsComplex conjugate010308 nuclear & particles physicsStochastic processCOLOR GLASS CONDENSATENONLINEAR GLUON EVOLUTIONNonlinear systemDIPOLE PICTUREkvanttikenttäteoriaydinfysiikkaLinear equationdescription
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 con elators. 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. Peer reviewed
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-09-04 | Physical Review D |