Non linear evolution: revisiting the solution in the saturation region

Abstract

In this paper we revisit the problem of the solution to Balitsky-Kovchegov equation deeply in the saturation domain. We find that solution has the form of Levin-Tuchin solution but it depends on variable $\bar{z} = \ln(r^2 Q^2_s) + \mbox{Const}$ and the value of $\mbox{Const}$ is calculated in this paper. We propose the solution for full BFKL kernel at large $z$ in the entire kinematic region that satisfies the McLerram-Venugopalan initial condition

15 pp, 8 figures in eps files

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Cited by in corpus (8)

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• CGC/saturation approach: a new impact-parameter dependent model
• Lecture notes on "Quantum chromodynamics and statistical physics"
• High energy asymptotic behavior of the $S$-matrix in the saturation region with the smallest dipole running coupling prescription
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• CGC/saturation approach: an impact-parameter dependent model for diffraction production in DIS
• On the solution of linearized (linear in S-matrix) Balitsky-Kovchegov equation
• Homotopy solution to non-linear evolution for heavy nuclei