# 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/en/paper/2609.09272v1/

## Key points

- Comprehensive exploration of the evolution of large-scale structure in the universe
- Topics covered include primordial curvature perturbations, linear matter power spectrum, spherical and anisotropic collapse, galaxy bias, redshift-space distortions, the Kaiser model, and multipole estimators with Gaussian covariance
- Assumes foundational understanding of undergraduate-level cosmology
- Extension delves into nonlinear bias and introduces one-loop effective field theory model for full-shape analyses
- Explicit derivations provided with longer calculations and solutions in the appendices
- Familiarity with perturbation theory expected for engaging with extension material

## Summary

These lecture notes by Nhat-Minh Nguyen provide a comprehensive exploration of the evolution of large-scale structure in the universe. The content is divided into three core lectures and an extension, covering topics such as primordial curvature perturbations, linear matter power spectrum, spherical and anisotropic collapse, galaxy bias, redshift-space distortions, the Kaiser model, and multipole estimators with Gaussian covariance. A foundational understanding of undergraduate-level cosmology is assumed for readers engaging with these lectures. The extension delves into nonlinear bias and introduces the one-loop effective field theory model used in full-shape analyses. Explicit derivations are provided with longer calculations and solutions included in the appendices. Familiarity with perturbation theory is expected when engaging with the extension material. These notes were prepared based on lectures delivered at the "10th Vietnam School of Astrophysics" (VSOA10) and are intended for submission to SciPost Physics Lecture Notes. For further inquiries or discussions related to the content presented in this work, please refer to the author's contact information provided below.