Unequal rapidity correlators in the dilute limit of the JIMWLK evolution

T. Lappi (Department of Physics, P.O. Box 35, 40014 University of Jyväskylä, Finland, and Helsinki Institute of Physics, P.O. Box 64, 00014 University of Helsinki, Finland) ; A. Ramnath (Department of Physics, P.O. Box 35, 40014 University of Jyväskylä, Finland)

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.

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      "value": "We study unequal rapidity correlators in the stochastic Langevin picture of Jalilian-Marian\u2013Iancu\u2013McLerran\u2013Weigert\u2013Leonidov\u2013Kovner (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."
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Published on:
04 September 2019
Publisher:
APS
Published in:
Physical Review D , Volume 100 (2019)
Issue 5
DOI:
https://doi.org/10.1103/PhysRevD.100.054003
arXiv:
1904.00782
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: