Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infrared analysis of Dyson-Schwinger equations taking into account the
  Gribov horizon in Landau gauge   The low momentum behavior of the Landau gauge Gribov-Zwanziger action is
investigated using the respective Dyson-Schwinger equations. Because of the
mixing of the gluon and the auxiliary fields four scenarios can be
distinguished for the infrared behavior. Two of them lead to inconsistencies
and can be discarded. Another one corresponds to the case where the auxiliary
fields behave exactly like the Faddeev-Popov ghosts and the same scaling
relation as in standard Landau gauge, $\ka_A+2\ka_c=0$, is valid. Even the
parameter $\ka$ is found to be the same, 0.595. The mixed propagators, which
appear, are suppressed in all loops, and their anomalous infrared exponent can
also be determined. A fourth case provides an even stricter scaling relation
that includes also the mixed propagators, but possesses the same qualitative
feature, i.e. the propagators of the Faddeev-Popov ghost and the auxiliary
fields are infrared enhanced and the mixed and the gluon propagators are
infrared suppressed. In this case the system of equations to obtain the
parameter $\ka$ is non-linear in all variables.

31
The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc