Galaxy correlation hierarchy in perturbation theory

Journal Article · Sun Apr 15 04:00:00 EST 1984 · Astrophys. J.; (United States)

DOI:https://doi.org/10.1086/161913· OSTI ID:6589020

Fry, J N

I calculate the evolution of cosmological density correlation functions to lowest nonvanishing order in perturbation theory for an initially random Gaussian distribution. The three-point function so obtained scales with size as in the continuous hierarchy model, but there is a residual nontrival dependence on shape of the reduced three-point amplitude Q. The average value Q-bar = 34/21-(1/6)..gamma.. is consistent with observations in the nonperturbative regime. The four-point function is also hierarchical in form, with amplitudes R/sub a/ = (34/21)/sup 2/ and R-bar/sub b/ = 682/189. The perturbation expansion in fact gives kappa/sub N/proportionalxi/sup N/-1 for the reduced correlation function kappa/sub N/ to all orders N. A graphical technique enumerates the terms which appear in kappa/sub N/.

• Research Organization: Astronomy and Astrophysics Center, The University of Chicago
• DOE Contract Number: AC02-80ER10773
• OSTI ID: 6589020
• Journal Information: Astrophys. J.; (United States), Journal Name: Astrophys. J.; (United States) Vol. 279:2; ISSN ASJOA
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BBGKY EQUATION
CORRELATION FUNCTIONS
COSMOLOGICAL MODELS
COSMOLOGY
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
FUNCTIONS
GALAXY CLUSTERS
GAUSS FUNCTION
GAUSSIAN PROCESSES
GENERAL RELATIVITY THEORY
MATHEMATICAL MODELS
PERTURBATION THEORY
UNIVERSE