Abstract
We show that populations of high redshift galaxies grow more luminous as they
grow in linear size. This is because the brightness per unit area has a
distinct upper limit due to the self-regulating nature of star-formation. As a
corollary, we show that the observed increase in characteristic luminosity of
Lyman Break Galaxies (L*) with time can be explained by their increase in size,
which scales as 1/H(z). In contrast, Lyman-alpha selected galaxies have a
characteristic, constant, small size between redshift z=2.25 and 6.5. Coupled
with a characteristic surface brightness, this can explain their non-evolving
ultraviolet continuum luminosity function. This compact physical size seems to
be a critical determining factor in whether a galaxy will show Lyman-alpha
emission. We base these conclusions on new size measurements for a sample of
about 170 Lyman-alpha selected galaxies with Hubble Space Telescope broad-band
imaging, over the redshift range 2.25 < z < 6. We combine these with a similar
number of Lyman-alpha selected galaxies with half-light radii from the
literature, and derive surface brightnesses for the entire combined sample.
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