Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Galilean invariance restoration on the lattice   We consider the breaking of Galilean invariance due to different lattice
cutoff effects in moving frames and a nonlocal smearing parameter which is used
in the construction of the nuclear lattice interaction. The dispersion relation
and neutron-proton scattering phase shifts are used to investigate the Galilean
invariance breaking effects and ways to restore it. For $S$-wave channels,
${}^1S_0$ and ${}^3S_1$, we present the neutron-proton scattering phase shifts
in moving frames calculated using both L\"uscher's formula and the spherical
wall method, as well as the dispersion relation. For the $P$ and $D$ waves, we
present the neutron-proton scattering phase shifts in moving frames calculated
using the spherical wall method. We find that the Galilean invariance breaking
effects stemming from the lattice artifacts partially cancel those caused by
the nonlocal smearing parameter. Due to this cancellation, the Galilean
invariance breaking effect is small, and the Galilean invariance can be
restored by introducing Galilean invariance restoration operators.

29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th