Abstract
Adopting the observational distributions of star formation rates andhalf-light radii of Lyman break galaxies (LBGs) in the rest frame UV, weinvestigate empirically the predicted stellar mass function for LBGs. Itis found that a peak exists at mass around 1.5×1010M⊙ for their stellar mass function and there have beensignificant amount of LBGs with stellar masses higher than 1011M⊙ at z~3. There should be two families for LBGpopulation observed by the Infrared Array Camera (IRAC) (which is a keyinstrument in the infrared space telescope Spitzer), one is red and theother is blue, which are consistent with recent works. Moreover, thepredicted comoving correlation lengths for LBGs with differentstellar masses, i.e., with different 8 μm magnitudes, are alsodiscussed. The red LBGs should be clustered in space more strongly thanthe blue LBGs. These predictions can and will be tested by theobservations of IRAC, and will provide strong constraints on the currenthierarchical galaxy formation model.
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