6 research outputs found
A Linear Evolution for Non-Linear Dynamics and Correlations in Realistic Nuclei
A new approach to high energy evolution based on a linear equation for QCD
generating functional is developed. This approach opens a possibility for
systematic study of correlations inside targets, and, in particular, inside
realistic nuclei.
Our results are presented as three new equations. The first one is a linear
equation for QCD generating functional (and for scattering amplitude) that sums
the 'fan' diagrams. For the amplitude this equation is equivalent to the
non-linear Balitsky-Kovchegov equation.
The second equation is a generalization of the Balitsky-Kovchegov non-linear
equation to interactions with realistic nuclei. It includes a new correlation
parameter which incorporates, in a model dependent way, correlations inside the
nuclei.
The third equation is a non - linear equation for QCD generating functional
(and for scattering amplitude) that in addition to the 'fan' diagrams sums the
Glauber-Mueller multiple rescatterings.Comment: 22 pages, 6 figure
QCD Saturation in the Semi-classical Approach
In this paper the semi-classical approach to the solution of non-linear
evolution equation is developed. We found the solution in the entire kinematic
region to the non-linear evolution equation that governs the dynamics in the
high parton density QCD. The large impact parameter () behavior of the
solution is discussed as well as the way how to include the non-perturbative
QCD corrections in this region of . The geometrical scaling behavior and
other properties of the solution in the saturation (Color Glass Condensate)
kinematic domain are analyzed. We obtain the asymptotic behavior for the
physical observables and found the unitarity bounds for them.Comment: 41 pp. 19 figures in eps file