Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infrared scaling solutions beyond the Landau gauge: The maximally
  Abelian gauge and Abelian infrared dominance   Functional equations like exact renormalization group and Dyson-Schwinger
equations have contributed to a better understanding of non-perturbative
phenomena in quantum field theories in terms of the underlying Green functions.
In Yang-Mills theory especially the Landau gauge has been used, as it is the
most accessible gauge for these methods. The growing understanding obtained in
this gauge allows to proceed to other gauges in order to obtain more
information about the relation of different realizations of the confinement
mechanism. In the maximally Abelian gauge first results are very encouraging as
a variant of Abelian infrared dominance is found: The Abelian part of the gauge
field propagator is enhanced at low momenta and thereby dominates the dynamics
in the infrared. Its role is therefore similar to that of the ghost propagator
in the Landau gauge, where one denotes the corresponding phenomenon as ghost
dominance. Also the ambiguity of two different types of solutions (decoupling
and scaling) exists in both gauges. Here we present how the two solutions are
related in the maximally Abelian gauge. The intricacy of the system of
functional equations in this gauge required the development of some new tools
and methods as, for example, the automated derivation of the equations by the
program DoFun. We also present results for linear covariant and ghost
anti-ghost symmetric gauges.

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The categories of this paper are: econ
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The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics