Journal Article

GSI-2026-00288

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Exploring the DGLAP resummation in the JIMWLK Hamiltonian

Armesto, N. (Corresponding author) ; Kovner, A. (Corresponding author)GSI* ; López-Pardo, V. (Corresponding author)

2025
Springer Heidelberg

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Please use a persistent id in citations: doi:10.1007/JHEP07(2025)207  doi:10.15120/GSI-2026-00288

Report No.: 2501.19250

Abstract: We explore the recently derived equation that resums DGLAP corrections to the JIMWLK Hamiltonian in the simplified setting of the SU(2) gauge theory. We solve the equation numerically for the scattering matrix of a dressed gluon for a particular initial condition, that corresponds to a dipole initial state. We evolve the S-matrix of a single dressed gluon from the scale QP, which is the inverse color correlation length in the projectile to Q ≫ Q_P which corresponds to the hard resolution scale provided by the target. As expected, S ceases to be unitary if evolved to significant ln Q^2/Q_P^2. Our numerical results indicate an interesting universal (independent of the coupling constant) pattern for this deviation from unitarity.

Note: "This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited."

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Contributing Institute(s):

1. ExtreMe Matter Institute, EMMI (EXM)

Research Program(s):

1. 612 - Cosmic Matter in the Laboratory (POF4-612) (POF4-612)

Experiment(s):

1. no experiment theory work (theory)

Appears in the scientific report 2025

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