Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Wilson loop from a Dyson equation   The Dyson equation proposed for planar temporal Wilson loops in the context
of supersymmetric gauge theories is critically analysed thereby exhibiting its
ingredients and approximations involved. We reveal its limitations and identify
its range of applicability in non-supersymmetric gauge theories. In particular,
we show that this equation is applicable only to strongly asymmetric planar
Wilson loops (consisting of a long and a short pair of loop segments) and as a
consequence the Wilsonian potential can be extracted only up to intermediate
distances. By this equation the Wilson loop is exclusively determined by the
gluon propagator. We solve the Dyson equation in Coulomb gauge for the temporal
Wilson loop with the instantaneous part of the gluon propagator and for the
spatial Wilson loop with the static gluon propagator obtained in the
Hamiltonian approach to continuum Yang-Mills theory and on the lattice. In both
cases we find a linearly rising color potential.

30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio