# From quantum fluctuations to galaxy power spectrum multipoles

**Authors:** Nhat-Minh Nguyen  
**arXiv:** [2609.09272](https://arxiv.org/abs/2609.09272)  
**Date:** 2026-09-08  
**Summary page:** https://www.summarizepaper.com/fr/arxiv-id/2609.09272v1/

## 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.