Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Quark-Gluon Vertex and the QCD Infrared Dynamics   The Dyson-Schwinger quark equation is solved for the quark-gluon vertex using
the most recent lattice data available in the Landau gauge for the quark, gluon
and ghost propagators, the full set of longitudinal tensor structures in the
Ball-Chiu vertex, taking into account a recently derived normalisation for a
quark-ghost kernel form factors and the gluon contribution for the tree level
quark-gluon vertex identified on a recent study of the lattice soft gluon
limit. A solution for the inverse problem is computed after the Tikhonov linear
regularisation of the integral equation, that implies solving a modified
Dyson-Schwinger equation. We get longitudinal form factors that are strongly
enhanced at the infrared region, deviate significantly from the tree level
results for quark and gluon momentum below 2 GeV and at higher momentum
approach their perturbative values. The computed quark-gluon vertex favours
kinematical configurations where the quark momentum $p$ and the gluon momentum
$q$ are small and parallel. Further, the quark-gluon vertex is dominated by the
form factors associated to the tree level vertex $\gamma_\mu$ and to the
operator $2 \, p_\mu + q_\mu$. The higher rank tensor structures provide small
contributions to the vertex.

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The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat