2024 journal article
On running coupling in the JIMWLK evolution and its Langevin formulation
JOURNAL OF HIGH ENERGY PHYSICS, (3).
author keywords: Deep Inelastic Scattering or Small-x Physics; Resummation; Effective Field Theories of QCD
open access via link.springer.com (publisher PDF)
Source: Web Of Science
Added: April 1, 2024
Abstract Various conventional running coupling prescriptions reproducing β0-dependent terms of NLO JIMWLK are reviewed and found to be theoretically inconsistent: the JIMWLK evolution Hamiltonian with running coupling violates the requirement of positive semidefiniteness. This requirement appears to be tightly related to the possibility of having a Langevin formulation for the evolution.We also review the scheme that attributes a part of β0-dependent terms to the DGLAP evolution of the projectile. The remaining β0-dependent contributions sum up into so-called “daughter dipole” prescription, which leads to a manifestly positive semidefinite Hamiltonian.