Reconciling the kinematical constraint with the JIMWLK evolution equation: correlation functions non-local in rapidity
P. Korcyl*,
L. Motyka and
T. Stebel*: corresponding author
Pre-published on:
December 27, 2024
Published on:
January 16, 2025
Abstract
In the high-energy limit of DIS experiments, the effective degrees of freedom of QCD are Wilson line operators. Their evolution in the rapidity variable is predicted by the set of Balitsky-JIMWLK evolution equations. We analyze a new class of two-point correlation functions of Wilson line operators where the Wilson lines are taken at different values of the rapidity variable. Such correlation functions can appear in the discussion of the kinematical constraint. We find that in the Langevin formulation of the JIMWLK equation, such correlation functions are affected by an infrared divergence. We discuss a possible regularization of this divergence and its consequences for the implementation of the kinematical constraint for the JIMWLK equation.
DOI: https://doi.org/10.22323/1.469.0079
How to cite
Metadata are provided both in
article format (very
similar to INSPIRE)
as this helps creating very compact bibliographies which
can be beneficial to authors and readers, and in
proceeding format which
is more detailed and complete.