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Large-Scale Structure of the Universe and Cosmological Perturbation Theory
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We review the formalism and applications of non-linear perturbation theory (PT) to understanding the large-scale structure of the Universe. We first discuss the dynamics of gravitational instability, from the linear to the non-linear regime. This includes Eulerian and Lagrangian PT, non-linear approximations, and a brief description of numerical simulation techniques. We then cover the basic statistical tools used in cosmology to describe cosmic fields, such as correlations functions in real and Fourier space, probability distribution functions, cumulants and generating functions. In subsequent sections we review the use of PT to make quantitative predictions about these statistics according to initial conditions, including effects of possible non Gaussianity of the primordial fields. Results are illustrated by detailed comparisons of PT predictions with numerical simulations. The last sections deal with applications to observations. First we review in detail practical estimators of statistics in galaxy catalogs and related errors, including traditional approaches and more recent developments. Then, we consider the effects of the bias between the galaxy distribution and the matter distribution, the treatment of redshift distortions in three-dimensional surveys and of projection effects in angular catalogs, and some applications to weak gravitational lensing. We finally review the current observational situation regarding statistics in galaxy catalogs and what the future generation of galaxy surveys promises to deliver.
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Showing 60 of 69 Pith papers that cite this
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Searching for Folded Primordial Non-Gaussianity with Galaxy Surveys
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Effective Field Theory of Large Scale Structure and Newtonian Motion Gauges
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CMB Lensing Trispectrum as a Probe of Parity Violation in LSS
The CMB lensing trispectrum is sensitive to parity violation in large-scale structure, and a parity-odd toy model predicts a detectable signal in idealized noiseless forecasts.
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Validation of the Hybrid Bias Expansion model for the galaxy bispectrum
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Biased tracers, Hybrid Effective Field Theory and Modified Gravity
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The impact of source and survey modelling on the connection between [O III] emitters and Ly $\alpha$ forest transmission at z ~ 6
Empirical halo-to-[O III] emitter modeling with realistic JWST survey mocks produces cross-correlations consistent with z~6 data within large scatter, but with a ~10 cMpc offset in the 1D peak.
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Cosmic Large-Scale Structure Formation from Newtonian Particle Dynamics
The authors present tree-level and one-loop power spectra from their particle-based field theory, matching simulations on large scales but deviating by 10-20% at intermediate scales.
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