Toward an understanding of the large scale structure of the universe with galaxy surveys

Large-scale structures we see in the universe, such as galaxies, galaxy clusters and structures beyond the scale of clusters, result from gravitational instability of almost isotropic and homogeneous density distribution in the early universe. The degree of the initial anisotropy of the universe and the subsequent growth of gravitational instability, coupled with the expansion rate of the universe, determine the scale and abundance of the structures formed in the universe at later times.

A galaxy survey directly observes a distribution of structures in the sky using galaxies as a tracer of the underlying density distribution, and yields constraints on cosmological models when compared to a physical theory of structure formation based on a given cosmological model. Among many cosmological and astronomical phenomena to be understood from a galaxy survey, the nature of the observed accelerated expansion of the universe is the most profound problem in the modern physics.

Motivated by various planned and on-going galaxy surveys, including our own Hobby-Ebery Telescope Dark Energy eXperiment (HETDEX), we show the way to fully exploit the data from a galaxy survey. We improve a model of structure formation to include the effect of baryonic pressure and the free-streaming of massive neutrinos at a mildly non-linear regime. Future galaxy surveys are to reach the level of accuracy, where the effect of massive neutrinos on the observed power spectrum is no longer negligible. Proper understanding of these effects gives a way to measure the absolute masses of neutrinos: one of the most fundamental particles, which, by itself, will be a major development in the field of particle physics.

Yet, most of the space (~80%) observed by galaxy surveys is occupied by voids. An ellipticity probability distribution function of voids offers yet another way of probing cosmology. Especially, a distribution of ellipticities in the redshift space provides a unique way to measure a growth rate of the structure in the universe apart from other cosmological parameters when combined with the galaxy power spectrum.