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Probing the Early Universe with the CMB Scalar, Vector and Tensor Bispectrum

  • Book
  • © 2013

Overview

Authors:
  1. Maresuke Shiraishi

    1. Department of Physics and Astrophysics, Nagoya University, Nagoya, Japan

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  • Develops a complete formalism for the CMB bispectrum induced by the primordial non-Gaussianities
  • Provides novel constraints on the primordial non-Gaussianities composed of not only scalar but also vector- and tensor-mode fluctuations
  • Analyzes statistical anisotropy and parity violation in the CMB bispectrum
  • Nominated as an outstanding Ph.D thesis by Nagoya University's Physics Department in 2012
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Introduction

    • Maresuke Shiraishi
    Pages 1-3

  3. Fluctuations in Inflation

    • Maresuke Shiraishi
    Pages 5-11

  4. Fluctuations in Cosmic Microwave Background Radiation

    • Maresuke Shiraishi
    Pages 13-50

  5. Primordial Non-Gaussianities

    • Maresuke Shiraishi
    Pages 51-58

  6. General Formalism for the CMB Bispectrum from Primordial Scalar, Vector and Tensor Non-Gaussianities

    • Maresuke Shiraishi
    Pages 59-63

  7. CMB Bispectrum Induced by the Two Scalars and a Graviton Correlator

    • Maresuke Shiraishi
    Pages 65-74

  8. Violation of the Rotational Invariance in the CMB Bispectrum

    • Maresuke Shiraishi
    Pages 75-87

  9. Parity Violation of Gravitons in the CMB Bispectrum

    • Maresuke Shiraishi
    Pages 89-109

  10. CMB Bispectrum Generated from Primordial Magnetic Fields

    • Maresuke Shiraishi
    Pages 111-149

  11. Conclusion

    • Maresuke Shiraishi
    Pages 151-152

  12. Back Matter

    Pages 153-180
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Keywords

About this book

The non-Gaussianity in the primordial density fluctuations is a key feature to clarify the early Universe and it has been probed with the Cosmic Microwave Background (CMB) bispectrum. In recent years, we have treated the novel-type CMB bispectra, which originate from the vector- and tensor-mode perturbations and include the violation of the rotational or parity invariance. On the basis of our current works, this thesis provides the general formalism for the CMB bispectrum sourced by the non-Gaussianity in the scalar, vector and tensor-mode perturbations. Applying this formalism, we calculate the CMB bispectra from the two scalars and a graviton correlation and primordial magnetic fields, and then outline new constraints on these magnitudes. Furthermore, this formalism can be easily extended to the cases where the rotational or parity invariance is broken. We also compute the CMB bispectra from the scalar-mode non-Gaussianities with a preferred direction and the tensor-mode non-Gaussianities induced by the parity-violating Weyl cubic terms. Here, we show that these bispectra include unique signals, which any symmetry-invariant models can never produce.

Authors and Affiliations

  • Department of Physics and Astrophysics, Nagoya University, Nagoya, Japan

    Maresuke Shiraishi

About the author

Dr. Maresuke Shiraishi
Department of Physics
Nagoya University

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