Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quark confinement in the Yang-Mills theory with a gauge-invariant gluon
  mass in view of the gauge-invariant BEH mechanism   In order to clarify the mechanism of quark confinement in the Yang-Mills
theory with mass gap, we propose to investigate the massive Yang-Mills model,
namely, Yang-Mills theory with ``a gauge-invariant gluon mass term'', which is
to be deduced from a specific gauge-scalar model with a single radially-fixed
scalar field under a suitable constraint called the reduction condition. The
gluon mass term simulates the dynamically generated mass to be extracted in the
low-energy effective theory of the Yang-Mills theory and plays the role of a
new probe to study the phase structure and confinement mechanism.
  In this talk, we first explain why such a gauge-scalar model is constructed
without breaking the gauge symmetry through the gauge-independent description
of the Brout-Englert-Higgs mechanism which does not rely on the spontaneous
breaking of gauge symmetry. Then we discuss how the numerical simulations for
the proposed massive Yang-Mills theory can be performed by taking into account
the reduction condition in the complementary gauge-scalar model on a lattice.
By using the reweighting method, we have investigated the effect of the gluon
mass term to the Wilson loop (the static potential) and the dynamically
generated mass. Moreover, we point out that the adjoint case would gives an
alternative understanding for the physical meaning of the gauge-covariant
decomposition for the Yang-Mills field known as the Cho-Duan-Ge-Faddeev-Niemi
decomposition, while the fundamental case would give a novel decomposition
which has been overlooked so far.

17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex