Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards a New Global QCD Analysis: Solution to the Non-Linear Equation
  at Arbitrary Impact Parameter   A numerical solution is presented for the non-linear evolution equation that
governs the dynamics of high parton density QCD. It is shown that thesolution
falls off as $e^{-b/R}$ at large values of the impact parameter $b$. The
power-like tail of the amplitude appears in impact parameter distributions only
after the inclusion of dipoles of size larger than the target, a configuration
for which the non-linear equation is not valid. The value, energy and impact
parameterof the saturation scale $Q_s(y=\ln(1/x),b)$) are calculated both for
fixed and running QCD coupling cases. It is shown that the solution exhibits
geometrical scaling behaviour. The radius of interaction increases as the
rapidity in accordance with the Froissart theorem. The solution we obtain
differs from previous attempts, where an anzatz for $b$ behaviour was made. The
solutions for running and fixed $\as$ differ. For running $\as$ we obtain a
larger radius of interaction (approximately twice as large), a steeper rapidity
dependence, and a larger value of the saturation scale.

22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom