Redshift-space correlation functions in the cold dark matter scenario

Biased cold dark matter scenario in an Einstein-de Sitter universe is critically examined using the cosmological N-body simulations with N = 128-exp 3 particles. The redshift correlation function zeta-s(s) is used to identify the present epoch of the simulation data, rather than the real space correlation function zeta-r(x). It turned out that both procedures predict quite different fluctuation amplitude to be matched with the present universe, implying that the previous results should be carefully interpreted. The fluctuation amplitude which yields a marginally consistent slope of zeta-s(s) in simulation to the observed value predicts an unacceptably large value for the one-dimensional rms velocity dispersion about 1000 km/s. Therefore, to the extent that the observed zeta-s(s) is reliable as a statistical measure of the fair sample of the universe, the conventional Omega = 1 CDM scenario with the primordial scale-invariant, random-Gaussian density field should be ruled out. 25 refs