Morphologies of ~190,000 Galaxies at z=0-10 Revealed with HST Legacy
  Data. III. Continuum Profile and Size Evolution of Lya Emitters
  We present the redshift evolution of the radial surface brightness (SB)
profile of the rest-frame UV and optical stellar continua for 9119 Lya emitters
(LAEs) at z~0-8 and 0-2, respectively. Using Hubble Space Telescope data and
the LAE catalogs taken from the literature, we derive the structural quantities
of the 9119 LAEs and ~180,000 comparison galaxies of photo-z star-forming
galaxies (SFGs) and Lyman break galaxies (LBGs) by the well-tested profile
fitting. From 936 well-fitted LAEs, we carefully define the homogeneous sample
of LAEs falling in the same ranges of UV-continuum luminosity and Lya
equivalent width over z~0-8, and evaluate the redshift evolution. We find that
the effective radius r_e distribution is represented by a log-normal function,
and that the median Sersic index is almost constant at n~1-1.5 for the LAEs
over z~0-7, suggesting that typical LAEs have a stellar-disk morphology. The
size-luminosity relation of the LAEs monotonically decreases towards high-z,
following size-luminosity relations of SFGs and LBGs. The median r_e values of
the LAEs significantly evolve as r_e~(1+z)^-1.37, similar to those of the SFGs
and LBGs in the same luminosity range, in contrast with the claims of no
evolution made by previous studies whose LAE samples are probably biased to
faint sources at low-z. The r_e distribution, star-formation rate surface
densities, and stellar-to-halo size ratios of the LAEs are comparable with
those of the SFGs and LBGs, indicating that LAEs have stellar components
similar to SFGs and LBGs with a Lya emissivity controlled by the non-stellar
physics such as geometry, kinematics, and ionization states of the
inter-stellar/circum-galactic medium.
