We study the luminosity function and the correlation function of about 1200 z∼4 Lyman break galaxies (LBGs) with i ′ < 26 that are photometrically selected from deep BRi ′ imaging data of a 618 arcmin2 area in the Subaru/XMM-Newton Deep Field taken with Subaru Prime Focus Camera. The contamination and completeness of our LBG sample are evaluated, on the basis of the Hubble Deep Field-North (HDF-N) objects, to be 17 % and 45%, respectively. We derive the UV (rest 1700˚A) luminosity functions (LFs) and find a large population of UVluminous galaxies at z ∼ 4. The LFs of the red and blue subsamples imply that the bright LBGs are redder in the UV continuum than the average color of the LBGs. Then we calculate the correlation function over θ = 2 ′ ′ − 1000 ′ ′ and find that it is fitted fairly well by a power law, ω(θ) = Aωθ−0.8, with Aω = 0.71 ± 0.26. We estimate the correlation length r0 (in comoving units) of the two-point spatial correlation function ξ(r) = (r/r0) −1.8 to be r0 = 2.7 +0.5 −0.6 h−1Mpc (Ωm = 0.3 and ΩΛ = 0.7). The correlation function shows an excess of ω(θ) on small scales (θ ∼ < 5 ′′), departing from the power-law fit at> 3σ significance level. Interpreting this as being due to galaxy mergers, we evaluate the fraction of galaxies undergoing mergers to be 3.0 ±0.9%, which is significantly smaller than those of galaxies at intermediate redshifts.
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