A Coarse-Grained Field Theory for Density Fluctuations and Correlation Functions of Galactic Objects

Abstract

We present a coarse-grained field theory of density fluctuations for a Newtonian self-gravitating many-body system and apply it to a homogeneous Universe with small density fluctuations. The theory treats the clustering of galaxies and clusters in terms of the field of density fluctuations. The Jeans length ${\lambda }_0$, a unique physical scale for a gravitating system, appears naturally as the characteristic scale underlying the large scale structure. Under Gaussian approximation the analytic expressions of $\xi (r)$ and $P(k)$ are obtained. The correlation amplitude is proportional to the galactic mass, and is oscillating over large scales $\sim 100$ $h^{-1}$ Mpc and damped to zero. The spectrum amplitude is inversely proportional to the galactic number density.The preliminary results qualitatively explain some pronounced features of large scale structures.

7 pages, 4 figures. to appear in A&A

References in corpus (32)

• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• The 2dF Galaxy Redshift Survey: Spectra and redshifts
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• The 3D power spectrum of galaxies from the SDSS
• The Luminosity and Color Dependence of the Galaxy Correlation Function
• The 2dF Galaxy Redshift Survey: correlation functions, peculiar velocities and the matter density of the Universe
• Galaxy Clustering in Early SDSS Redshift Data
• The 2dF Galaxy Redshift Survey: galaxy clustering per spectral type
• A 120-Mpc Periodicity in the Three-Dimensional Distribution of Galaxy Superclusters
• Acoustic oscillations in the SDSS DR4 Luminous Red Galaxy sample power spectrum
• The APM Galaxy Survey III: An Analysis of Systematic Errors in the Angular Correlation Function and Cosmological Implications
• The 3D Power Spectrum from Angular Clustering of Galaxies in Early SDSS Data
• The evolution of galaxy clustering
• Angular Clustering with Photometric Redshifts in the Sloan Digital Sky Survey: Bimodality in the Clustering Properties of Galaxies
• The ROSAT-ESO Flux Limited X-ray (REFLEX) Galaxy Cluster Survey II: The Spatial Correlation Function
• The richness dependence of galaxy cluster correlations: Results from a redshift survey of rich APM clusters
• The Richness-Dependent Cluster Correlation Function: Early SDSS Data
• The Las Campanas Redshift Survey Galaxy-Galaxy Autocorrelation Function
• The ROSAT-ESO Flux-Limited X-Ray (REFLEX) Galaxy Cluster Survey III: The Power Spectrum
• The Galaxy Angular Correlation Functions and Power Spectrum from the Two Micron All Sky Survey
• The supercluster--void network II. An oscillating cluster correlation function
• The Power Spectrum of Rich Clusters of Galaxies on Large Spatial Scales
• The 2dF QSO Redshift Survey - XI. The QSO Power Spectrum
• The Las Campanas Distant Cluster Survey -- The Correlation Function
• The Durham/UKST Galaxy Redshift Survey - VI. Power spectrum analysis of clustering
• Galaxy groups in the 2dF galaxy redshift survey: Large Scale Structure with Groups
• Large Scale Clustering of Sloan Digital Sky Survey Quasars: Impact of the Baryon Density and the Cosmological Constant
• Optical and X-ray clusters as tracers of the supercluster-void network. III Distribution of Abell and APM clusters
• Optical and X-ray clusters as tracers of the supercluster-void network. II The spatial correlation function
• The power spectrum of galaxy clustering in the APM survey
• Markov-chain reconstruction of the 2dF Galaxy Redshift Survey real-space power spectrum
• Power Spectrum Analysis of the ESP Galaxy Redshift Survey

Cited by in corpus (12)

• Second-order cosmological perturbations. IV. Produced by scalar-tensor and tensor-tensor couplings during the radiation dominated stage
• Adiabatic regularization and Green's function of a scalar field in de Sitter space: Positive energy spectrum and no trace anomaly
• Field Theory of the Correlation Function of Mass Density Fluctuations for Self-Gravitating Systems
• Nonlinear Density Fluctuation Field Theory for Large Scale Structure
• Field Equation of Correlation Function of Mass Density Fluctuation for Self-Gravitating Systems
• Field Equation of Correlation Function of Mass Density Fluctuation for Self-Gravitating Systems
• Second-order cosmological perturbations. III. Produced by scalar-scalar coupling during radiation-dominated stage
• Second-order cosmological perturbations produced by scalar-scalar coupling during inflation stage
• The nonlinear field equation of the three-point correlation function of galaxies
• Analytical Equation of Three-point Correlation Function of Galaxies: to Third Order of Density Perturbation
• The equation and solution of 4-point correlation function of galaxies in Gaussian approximation and its parity-odd part
• The nonlinear equation of correlation function of galaxies in the expanding universe and the solution in linear approximation