Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization of the flavor-singlet axial-vector current and its
  anomaly in QCD   The renormalization constant $Z_J$ of the flavor-singlet axial-vector current
with a non-anticommuting $\gamma_5$ in dimensional regularization is determined
to order $\alpha_s^3$ in QCD with massless quarks. In addition, the equality
between the $\overline{\mathrm{MS}}$ renormalization constant $Z_{F\tilde{F}}$
associated with the operator $\big[F \tilde{F} \big]_{R}$ and that of
$\alpha_s$ is verified explicitly to hold true at 4-loop order.

14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con