Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monopole Dominance for Nonperturbative QCD   Monopole dominance for the nonperturbative features in QCD is studied both in
the continuum and the lattice gauge theories. First, we study the dynamical
chiral-symmetry breaking (D$\chi $SB) in the dual Higgs theory using the
effective potential formalism. We find that the main driving force for D$\chi
$SB is brought from the confinement part in the nonperturbative gluon
propagator rather than the short-range part, which means monopole dominance for
D$\chi $SB. Second, the correlation between instantons and QCD-monopoles is
studied. In the Polyakov-like gauge, where $A_4(x)$ is diagonalized, the
QCD-monopole trajectory penetrates the center of each instanton, and becomes
complicated in the multi-instanton system. Finally, using the SU(2) lattice
gauge theory with $16^4$ and $16^3 \times 4$, the instanton number is measured
in the singular (monopole-dominating) and regular (photon-dominating) sectors,
respectively. Instantons and anti-instantons only exist in the monopole sector
both in the maximally abelian gauge and in the Polyakov gauge, which means
monopole dominance for the topological charge.

30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph