Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solution to the evolution equation at NLL for high parton density QCD   We analytically solve the full next-to-leading logarithmic Balitsky-Kovchegov
equation in the saturation regime, which includes corrections from quark and
gluon loops, and large double transverse logarithms. The analytic result for
the $S$-matrix in the saturation regime shows that the linear rapidity decrease
with rapidity of the exponent in running coupling case is replaced by rapidity
raised to power of 3/2 decreasing. The collinearly-improved Balitsky-Kovchegov
equation are also analytically solved in the saturation regime. It shows that
the double collinear logarithms do not contribute to the $S$-matrix and the
solution is the same as the one obtained from the leading order
Balitsky-Kovchegov equation. The numerical solutions to the leading order and
full next-to-leading logarithmic Balitsky-Kovchegov equations are performed in
order to test the analytic results derived in the saturation regime.

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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat