Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new scheme for color confinement and violation of the non-Abelian
  Bianchi identities   A new scheme for color confinement in QCD due to violation of the non-Abelian
Bianchi identities proposed earlier is revised. The violation of the
non-Abelian Bianchi identities (VNABI) $J_{\mu}$ is equal to Abelian-like
monopole currents $k_{\mu}$ defined by the violation of the Abelian-like
Bianchi identities. VNABI satisfies $\partial_{\mu}J_{\mu}=0$. There are
$N^2-1$ conserved magnetic charges in $SU(N)$ QCD. The charge of each component
of VNABI is assumed to satisfy the Dirac quantization condition. %%%%% Each
color component of the non-Abelian electric field $E^a$ is squeezed by the
corresponding color component of the solenoidal current $J^a_{\mu}$. Then only
the color singlets alone can survive as a physical state and non-Abelian color
confinement is realized.
  Numerical studies are done in the framework of $SU(2)$ lattice gauge theory.
We adopt an Abelian-like definition of monopole following DeGrand-Toussaint as
a lattice version of VNABI. To reduce severe lattice artifacts, we introduce
various techniques of smoothing the thermalized vacuum such as the maximal
center gauge (MCG) fixing. We measure the density
$\rho(a(\beta),n)=\sqrt{(k_n^1)^2+(k_n^2)^2+(k_n^3)^2}/(4\sqrt{4}Vb^3)$, where
$k_n^a$ is an $n$ blocked monopole in the color direction $a$ and $b=na(\beta)$
is the blocked lattice spacing. Beautiful scaling behaviors are seen when we
plot $\rho(a(\beta),n)$ versus $b=na(\beta)$. A single universal curve
$\rho(b)$ is found from $n=1\sim 12$, which suggests that $\rho(a(\beta),n)$ is
a function of $b=na(\beta)$ alone. The universal curve seems independent of a
gauge fixing procedure used to smooth the lattice vacuum when the scaling is
obtained. The scaling shows that the lattice definition of VNABI has the
continuum limit.

23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th