Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quark mass generation with Schwinger-Dyson equations   In this talk, we review some of the current efforts to understand the
phenomenon of chiral symmetry breaking and the generation of a dynamical quark
mass. To do that, we will use the standard framework of the Schwinger-Dyson
equations. The key ingredient in this analysis is the quark-gluon vertex, whose
non-transverse part may be determined exactly from the nonlinear Slavnov-Taylor
identity that it satisfies. The resulting expressions for the form factors of
this vertex involve not only the quark propagator, but also the ghost dressing
function and the quark-ghost kernel. Solving the coupled system of integral
equations formed by the quark propagator and the four form factors of the
scattering kernel, we carry out a detailed study of the impact of the quark
gluon vertex on the gap equation and the quark masses generated from it,
putting particular emphasis on the contributions directly related with the
ghost sector of the theory, and especially the quark-ghost kernel. Particular
attention is dedicated on the way that the correct renormalization group
behavior of the dynamical quark mass is recovered, and in the extraction of the
phenomenological parameters such as the pion decay constant.

18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat