Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chiral perturbation theory at O(a^2) for lattice QCD   We construct the chiral effective Lagrangian for two lattice theories: one
with Wilson fermions and the other with Wilson sea fermions and Ginsparg-Wilson
valence fermions. For each of these theories we construct the Symanzik action
through order $a^2$. The chiral Lagrangian is then derived, including terms of
order $a^2$, which have not been calculated before. We find that there are only
few new terms at this order. Corrections to existing coefficients in the
continuum chiral Lagrangian are proportional to $a^2$, and appear in the
Lagrangian at order $a^2 p^2$ or higher. Similarly, O(4) symmetry breaking
terms enter the Symanzik action at order $a^2$, but contribute to the chiral
Lagrangian at order $a^2 p^4$ or higher. We calculate the light meson masses in
chiral perturbation theory for both lattice theories. At next-to-leading order,
we find that there are no order $a^2$ corrections to the valence-valence meson
mass in the mixed theory due to the enhanced chiral symmetry of the valence
sector.

15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin