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We present a lattice QCD calculation of phase shift including the chiral andcontinuum extrapolations in two-flavor QCD. The calculation is carried out forI=2 S-wave $\pi\pi$ scattering. The phase shift is evaluated for two momentumsystems, the center of mass and laboratory systems, by using the finite volumemethod proposed by L\"uscher in the center of mass system and its extension togeneral systems by Rummukainen and Gottlieb. The measurements are made at threedifferent bare couplings $\beta = 1.80$, 1.95 and 2.10 using a renormalizationgroup improved gauge and a tadpole improved clover fermion action, andemploying a set of configurations generated for hadron spectroscopy in ourprevious work. The illustrative values we obtain for the phase shift in thecontinuum limit are $\delta$(deg.) $= - 3.50(64)$, $ - 9.5(30)$ and $ -16.9(64)$ for $\sqrt{s}({\rm GeV})$ $=0.4$, $ 0.6$ and $ 0.8$, which areconsistent with experiment.Comment: 40 page

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

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I=2ππscattering phase shift with two flavors ofOaimproved dynamical quarks