Velocity dispersion vs. extinction‐corrected rest‐frame V‐band luminosity. Red circles show the current sample, blue crosses are Lyman break galaxies at ﹩z\sim 3﹩, green stars are the DRGs presented by van Dokkum et al. (2004), and the purple squares represent the SCUBA galaxies of Swinbank et al. (2004; filled squares are those classified as star‐forming galaxies, and open squares represent AGNs). The solid line shows the local Faber‐Jackson relation, and the dotted line shows the local relation shifted upward by 1.35 dex in order to pass through the median of the data. Typical uncertainties are shown by the error bars in the lower right corner.