1,320 research outputs found
Calculation of decay amplitudes with an improved Wilson fermion action in a nonzero momentum frame in lattice QCD
We present our result for the decay amplitudes for both the
and processes with the improved Wilson fermion action. In
order to realize the physical kinematics, where the pions in the final state
have finite momenta, we consider the decay process in the nonzero momentum frame with momentum on the lattice. Our calculations are carried out with
gauge configurations generated with the Iwasaki gauge action and
nonperturbatively -improved Wilson fermion action at
(), , and on a
() lattice. For these parameters the energy
of the meson is set at that of two-pion in the final state. We obtain , , and for a
matching scale where the errors are statistical. The dependence on
the matching scale of these values is weak. The systematic error arising
from the renormalization factors is expected to be around for and for . Prospects toward calculations with the
physical quark mass are discussed.Comment: LaTeX2e, 19 pages, 5 eps figures, uses revtex4 and graphicx. arXiv
admin note: substantial text overlap with arXiv:1505.05289. Published in PR
Pion decay constant in quenched QCD with Kogut-Susskind quarks
We present a non-perturbative calculation for the pion decay constant with
quenched Kogut-Susskind quarks. Numerical simulations are carried out at and 6.2 with various operators extending over all flavors. The
renormalization correction is applied for each flavor by computing
non-perturbative renormalization constants, and it is compared with a
perturbative calculation. We also study the behavior of in the
continuum limits for both non-perturbative and perturbative calculations. The
results in the continuum limit is also discussed.Comment: LATTICE99(matrix elements) 3 pages, 4 eps figure
Intra-Landau level polarization effect for a striped Hall gas
We calculate the polarization function including only intra-Landau level
correlation effects of striped Hall gas. Using the polarization function, the
dielectric function, the dispersion of the plasmon and the correlation energy
are computed in a random phase approximation (RPA) and generalized random phase
approximation (GRPA). The plasmon becomes anisotropic and gapless owing to the
anisotropy of the striped Hall gas and two dimensionality of the quantum Hall
system. The plasmon approximately agrees with the phonon derived before by the
single mode approximation. The (G)RPA correlation energy is compared with other
numerical calculations.Comment: 15 pages,15 figures, revtex4, published versio
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