The Vector Mode in the Second-order Cosmological Perturbation Theory

  • Shohei Saga

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Shohei Saga
    Pages 1-13
  3. Shohei Saga
    Pages 53-73
  4. Shohei Saga
    Pages 75-106
  5. Shohei Saga
    Pages 107-128
  6. Shohei Saga
    Pages 129-131
  7. Back Matter
    Pages 133-136

About this book


This thesis sheds valuable new light on the second-order cosmological perturbation theory, extensively discussing it in the context of cosmic microwave background (CMB) fluctuations. It explores the observational consequences of the second-order vector mode, and addresses magnetic field generation and the weak lensing signatures, which are key phenomena of the vector mode.

The author demonstrates that the second-order vector mode, which never appears at the linear-order level, naturally arises from the non-linear coupling of the first-order scalar modes. This leads to the remarkable statement that the vector-order mode clearly contributes to the generation of cosmological magnetic fields. Moreover, the weak lensing observations are shown to be accessible to the vector mode. On the basis of ongoing and forthcoming observations, the thesis concludes that the second-order vector mode is detectable.


Cosmic Microwave Background Lensing Cosmological Vector Mode Primordial Magnetic Fields Magnetogenesis Weak Lensing 21cm Radiation Large-scale Structure of the Cosmos Cosmic Microwave Background Fluctuations

Authors and affiliations

  • Shohei Saga
    • 1
  1. 1.Yukawa Institute for Theoretical PhysicsKyoto UniversityKyotoJapan

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Singapore Pte Ltd. 2018
  • Publisher Name Springer, Singapore
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-981-10-8006-7
  • Online ISBN 978-981-10-8007-4
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site