We present the large statistics of the galaxy effective radius Re in the rest-frame far-infrared (FIR) wavelength R_e(FIR) obtained from 1627 Atacama Large Millimeter/submillimeter Array (ALMA) 1mm band maps that become public by 2017 July. Our ALMA sample consists of 1034 sources with the star formation rate ~100-1000M{sun}/yr and the stellar mass ~10^10^-10^11.5^M{sun} at z=0-6. We homogeneously derive R_e(FIR) and FIR luminosity LFIR of our ALMA sources via the uv-visibility method with the exponential disk model, carefully evaluating selection and measurement incompletenesses by realistic Monte-Carlo simulations. We find that there is a positive correlation between R_e(FIR) and LFIR at the >99% significance level. The best-fit power-law function, R_e(FIR){propto}L_FIR_^{alpha}^, provides {alpha}=0.28+/-0.07, and shows that R_e(FIR) at a fixed LFIR decreases toward high redshifts. The best-fit {alpha} and the redshift evolution of R_e(FIR) are similar to those of Re in the rest-frame UV (optical) wavelength R_e(UV) (R_e(Opt)) revealed by Hubble Space Telescope (HST) studies. We identify that our ALMA sources have significant trends of R_e(FIR)<~R_e(UV) and R_e(Opt), which suggests that the dusty starbursts take place in compact regions. Moreover, R_e(FIR) of our ALMA sources is comparable to R_e(Opt)_ of quiescent galaxies at z~1-3 as a function of stellar mass, supporting the evolutionary connection between these two galaxy populations. We also investigate rest- frame UV and optical morphologies of our ALMA sources with deep HST images, and find that ~30%-40% of our ALMA sources are classified as major mergers. This indicates that dusty starbursts are triggered by not only the major mergers but also the other mechanism(s).

Cone search capability for table J/ApJ/850/83/table4 (5{sigma}-peak catalog (ALL5S))