From quantum fluctuations to galaxy power spectrum multipoles
astro-ph.CO
Submitted: 2026-09-08
Updated: 2026-09-18
Comments: 51 pages (39 pages plus appendices and references); 14 figures, 1 table, a few exercises. Extended version of the lectures delivered at the "10th Vietnam School of Astrophysics" (VSOA10), July 27 - Aug 1 2026; prepared for submission to SciPost Physics Lecture Notes
Code: https://github.com/Michalychforever/CLAS
License: http://creativecommons.org/licenses/by/4.0/
The gist: These notes trace large-scale structure from primordial curvature perturbations generated by inflationary quantum fluctuations to galaxy power-spectrum multipoles.
Terminology
Abstract
These notes trace large-scale structure from primordial curvature perturbations generated by inflationary quantum fluctuations to galaxy power-spectrum multipoles. Three core lectures develop the linear matter power spectrum, spherical and anisotropic collapse, galaxy bias, redshift-space distortions, the Kaiser model, and multipole estimators with Gaussian covariance. The extension develops nonlinear bias and the one-loop effective field theory model used in full-shape analyses. Derivations are explicit; appendices collect longer calculations and solutions. The core lectures assume undergraduate-level cosmology; the extension assumes familiarity with perturbation theory.
Sources
- Galaxy Power Spectrum Multipoles Covariance in Perturbation Theory
- Non-linear perturbation theory extension of the Boltzmann code CLASS
- Large-Scale Galaxy Bias
- Effective Field Theory for Large Scale Structure
- Large-scale structures of the Universe: physics, phenomenology, statistics
- Bridging perturbation theory and simulations: initial conditions and fast integrators for cosmological simulations
- GGI Lectures on Large-Scale Structure Perturbation Theory (Effective Field Theory)
- Planck 2018 results. VI. Cosmological parameters
- The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
- Second-order Lagrangian perturbation theory initial conditions for resimulations
- Halo Stochasticity from Exclusion and non-linear Clustering
- Galaxy sizes as complementary (zero-)bias tracers of local primordial non-Gaussianity
- Rapid modelling of the redshift-space power spectrum multipoles for a masked density field
- Analytical and EZmock covariance validation for the DESI 2024 results
- Gaussian covariance matrices for anisotropic galaxy clustering measurements
- Power Spectrum Super-Sample Covariance
- AbacusPNG: A modest set of simulations of local-type primordial non-Gaussianity in the DESI era
- Cosmological Non-Linearities as an Effective Fluid
- The Effective Field Theory of Cosmological Large Scale Structures
- Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure
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