Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Propagator Dyson-Schwinger Equations of Coulomb Gauge Yang-Mills Theory
  Within the First Order Formalism   Coulomb gauge Yang-Mills theory within the first order formalism is
considered with a view to deriving the propagator Dyson-Schwinger equations.
The first order formalism is studied with special emphasis on the BRS
invariance and it is found that there exists two forms of invariance -
invariance under the standard BRS transform and under a second, non-standard
transform. The field equations of motion and symmetries are derived explicitly
and certain exact relations that simplify the formalism are presented. It is
shown that the Ward-Takahashi identity arising from invariance under the
non-standard part of the BRS transform is guaranteed by the functional
equations of motion. The Feynman rules and the general decomposition of the
two-point Green's functions are derived. The propagator Dyson-Schwinger
equations are derived and certain aspects (energy independence of ghost Green's
functions and the cancellation of energy divergences) are discussed.

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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
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: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph