Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Confinement, mass gap and gauge symmetry in the Yang-Mills theory --
  restoration of residual local gauge symmetry   In this talk we want to discuss the color confinement criterion which
guarantees confinement of all colored particles including dynamical quarks and
gluons. The most well-known criterion is the Kugo-Ojima color confinement
criterion derived in the Lorenz gauge. However, it was pointed out that the
Kugo-Ojima criterion breaks down for the Maximal Abelian gauge in which quark
confinement has been verified according to the dual superconductivity caused by
magnetic monopole condensations. We give the color confinement criterion based
on the restoration of the residual local gauge symmetry which can be applied to
the Abelian and non-Abelian gauge theories as well irrespective of the compact
or non-compact formulation, and enables us to understand confinement in all the
cases. Indeed, the restoration of the residual local gauge symmetry which was
shown by Hata in the Lorenz gauge to be equivalent to the Kugo-Ojima criterion
indeed occurs in the Maximal Abelian gauge for the SU(N) Yang-Mills theory in
two-, three- and four-dimensional Euclidean spacetime once the singular
topological configurations of gauge fields are taken into account. This result
indicates that the color confinement phase is a disordered phase caused by
non-trivial topological configurations irrespective of the gauge choice.

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The categories of this paper are: bayes-an
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
1
The categories of this paper are: cs
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The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con