Two-point correlation functions on the light cone: Testing theoretical predictions against $\vec N$-body simulations

Cluster correlation functions in N-body simulations

The correlation function of galaxy clusters has frequently been used as a test of cosmological models. A number of assumptions are implicit in the comparison of theoretical expectations to data. Here we use an ensemble of ten large N-body simulations of the standard cold dark matter cosmology to investigate how cluster selection criteria and other uncertain factors influence the cluster correla...

Two-point correlation function of high-redshift objects: an explicit formulation on a light-cone hypersurface

While all the cosmological observations are carried out on a light-cone, the null hypersurface of an observer at z = 0, the clustering statistics has been properly defined only on the constant-time hypersurface. We develop a theoretical formulation for a two-point correlation function on the light-cone, and derive a practical approximate expression relevant to the discussion of clustering of hi...

Two-point correlation functions of X-ray selected clusters of galaxies: theoretical predictions for flux-limited surveys

We have developed a model to describe two-point correlation functions of clusters of galaxies in X-ray flux-limited surveys. Our model properly takes account of nonlinear gravitational evolution of mass fluctuations, redshift-space distortion due to linear peculiar velocity field and to finger-of-god, cluster abundance and bias evolution on the basis of the Press – Schechter theory, the light-c...

Two-dimensional SU(N) gauge theory on the light cone.

Light-cone divergence in twist-3 correlation functions

It is argued that the definition of the twist-3 transverse momentum dependent correlation functions must be modified if they contain light-like Wilson lines. In the framework of a simple spectator model of the nucleon we show explicitly the presence of a light-cone divergence for a specific twist-3 time-reversal odd parton density. This divergence emerges for all eight twist-3 T-odd correlators...