Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Covariant Chiral Kinetic Equation in Non-Abelian Gauge field from
  "covariant gradient expansion"   We derive the chiral kinetic equation in 8 dimensional phase space in
non-Abelian $SU(N)$ gauge field within the Wigner function formalism. By using
the "covariant gradient expansion", we disentangle the Wigner equations in
four-vector space up to the first order and find that only the time-like
component of the chiral Wigner function is independent while other components
can be explicit derivative. After further decomposing the Wigner function or
equations in color space, we present the non-Abelian covariant chiral kinetic
equation for the color singlet and multiplet phase-space distribution
functions. These phase-space distribution functions have non-trivial Lorentz
transformation rules when we define them in different reference frames. The
chiral anomaly from non-Abelian gauge field arises naturally from the Berry
monopole in Euclidian momentum space in the vacuum or Dirac sea contribution.
The anomalous currents as non-Abelian counterparts of chiral magnetic effect
and chiral vortical effect have also been derived from the non-Abelian chiral
kinetic equation.

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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex