Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonperturbative renormalization of the Delta-S=1 weak Hamiltonian
  including the G_1 operator   Under renormalization, physical operators can mix with operators which vanish
by the equations of motion. Such operators cannot contribute to matrix elements
between physical states, but they contribute to operator mixing in
renormalization schemes which are defined at an off-shell momentum point, such
as the popular regularization-invariant schemes. For the first time, we
renormalize the lattice $\Delta S=1$ effective weak Hamiltonian taking into
account the most important such operator, $G_1 \propto \overline s \gamma_\nu
(1-\gamma_5) D_\mu G_{\mu\nu} d$. This removes an important systematic error in
calculations of weak matrix elements on the lattice.

1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
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
33
The categories of this paper are: plasm-ph