6533b7d6fe1ef96bd126700f

RESEARCH PRODUCT

Unequal rapidity correlators in the dilute limit of JIMWLK

Tuomas LappiTuomas LappiAndrecia Ramnath

subject

PhysicsComplex conjugateNuclear TheoryStochastic processFOS: Physical sciencesPosition and momentum spacehiukkasfysiikka114 Physical sciencesNuclear Theory (nucl-th)Nonlinear systemHigh Energy Physics - PhenomenologyAmplitudeHigh Energy Physics - Phenomenology (hep-ph)Effective field theoryRapidityColor glassMathematical physics

description

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.

yearjournalcountryeditionlanguage
2019-01-01
10.22323/1.352.0068http://arxiv.org/abs/1908.11748