Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Summation of Leading Logarithms at Small x   We show how perturbation theory may be reorganized to give splitting
functions which include order by order convergent sums of all leading
logarithms of $x$. This gives a leading twist evolution equation for parton
distributions which sums all leading logarithms of $x$ and $Q^2$, allowing
stable perturbative evolution down to arbitrarily small values of $x$.
Perturbative evolution then generates the double scaling rise of $F_2$ observed
at HERA, while in the formal limit $x\to 0$ at fixed $Q^2$ the Lipatov
$x^{-\lambda}$ behaviour is eventually reproduced. We are thus able to explain
why leading order perturbation theory works so well in the HERA region.

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The categories of this paper are: chem-ph
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
3
The categories of this paper are: physics