Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Applications of a nonlinear evolution equation I: the parton
  distributions in the proton   The parton distributions in the proton are evaluated dynamically using a
nonlinear QCD evolution equation - the DGLAP equation with twist-4 (the
GLR-MQ-ZSR) corrections - starting from a low scale $\mu^2$, where the nucleon
consists of valence quarks. We find that the negative nonlinear corrections can
improve the perturbative stability of the QCD evolution equation at low $Q^2$.
Our resulting parton distributions of the proton with four free parameters are
compatible with the existing databases.
  We show that the sea quark distributions exhibit a positive and flattish
behavior at small $x$ and low $Q^2$. This approach provides a powerful tool to
connect the quark models of the hadron and various non-perturbative effects on
them at scale $\mu^2$ with the measured structure functions at high scale
$Q^2>> \mu^2$.

24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an