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PreprintCC BY 4.0arXiv

From quantum fluctuations to galaxy power spectrum multipoles

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.

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BibTeX
@misc{nguyen2026from,
  title = {{From quantum fluctuations to galaxy power spectrum multipoles}},
  author = {Nhat-Minh Nguyen},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.09272},
  eprint = {2609.09272},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.09272},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - From quantum fluctuations to galaxy power spectrum multipoles
AU  - Nhat-Minh Nguyen
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.09272
UR  - https://arxiv.org/abs/2609.09272
AB  - 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.
ER  -