We investigate the clustering of high-redshift galaxies in five variants of
the cold dark matter (CDM) scenario, using hydrodynamic cosmological simul
ations that resolve the formation of systems with circular velocities v(c)
greater than or equal to 100 km s(-1) (Omega = 1) or v(c) greater than or e
qual to 70 km s(-1) (Omega = 0.4). Although the five models differ in their
cosmological parameters and in the shapes and amplitudes of their mass pow
er spectra, they predict remarkably similar galaxy clustering at z = 2, 3,
and 4. The galaxy correlation functions show almost no evolution over this
redshift range, even though the mass correlation functions grow steadily in
time. Despite the fairly low circular velocity threshold of the simulation
s, the high-redshift galaxies are usually highly biased tracers of the unde
rlying mass distribution; the bias factor evolves with redshift and varies
from model to model. Predicted correlation lengths for the resolved galaxy
population are 2-3 h(-1) Mpc (comoving) at z = 3. More massive galaxies ten
d to be more strongly clustered. These CDM models have no difficulty in exp
laining the strong observed clustering of Lyman-break galaxies, and some ma
y even predict excessive clustering. Because the effects of bias obscure di
fferences in mass clustering, it appears that Lyman-break galaxy clustering
will not be a good test of cosmological models but will instead provide a
tool for constraining the physics of galaxy formation.