# Suppression of long-wavelength CMB spectrum from the no-boundary initial condition

## Abstract

The lack of correlations at the long-wavelength scales of the cosmic microwave background spectrum is a long-standing puzzle and it persists in the latest Planck data. By considering the Hartle–Hawking no-boundary wave function as the initial condition of the inflationary universe, we propose that the power suppression can be the consequence of a massive inflaton, whose initial vacuum is the Euclidean instanton in a compact manifold. We calculate the primordial power spectrum of the perturbations, and find that as long as the scalar field is moderately massive, the power spectrum is suppressed at the long-wavelength scales.

- Authors:

- National Taiwan Univ., Taipei (Taiwan); SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)
- National Taiwan Univ., Taipei (Taiwan)
- National Taiwan Univ., Taipei (Taiwan); The Asia Pacific Center for Theoretical Physics, Pohang (South Korea); POSTECH, Pohang (South Korea)

- Publication Date:

- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1490620

- Grant/Contract Number:
- AC02-76SF00515

- Resource Type:
- Accepted Manuscript

- Journal Name:
- European Physical Journal. C, Particles and Fields

- Additional Journal Information:
- Journal Volume: 78; Journal Issue: 11; Journal ID: ISSN 1434-6044

- Publisher:
- Springer

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS

### Citation Formats

```
Chen, Pisin, Lin, Yu-Hsiang, and Yeom, Dong-han. Suppression of long-wavelength CMB spectrum from the no-boundary initial condition. United States: N. p., 2018.
Web. doi:10.1140/epjc/s10052-018-6426-4.
```

```
Chen, Pisin, Lin, Yu-Hsiang, & Yeom, Dong-han. Suppression of long-wavelength CMB spectrum from the no-boundary initial condition. United States. doi:10.1140/epjc/s10052-018-6426-4.
```

```
Chen, Pisin, Lin, Yu-Hsiang, and Yeom, Dong-han. Wed .
"Suppression of long-wavelength CMB spectrum from the no-boundary initial condition". United States. doi:10.1140/epjc/s10052-018-6426-4. https://www.osti.gov/servlets/purl/1490620.
```

```
@article{osti_1490620,
```

title = {Suppression of long-wavelength CMB spectrum from the no-boundary initial condition},

author = {Chen, Pisin and Lin, Yu-Hsiang and Yeom, Dong-han},

abstractNote = {The lack of correlations at the long-wavelength scales of the cosmic microwave background spectrum is a long-standing puzzle and it persists in the latest Planck data. By considering the Hartle–Hawking no-boundary wave function as the initial condition of the inflationary universe, we propose that the power suppression can be the consequence of a massive inflaton, whose initial vacuum is the Euclidean instanton in a compact manifold. We calculate the primordial power spectrum of the perturbations, and find that as long as the scalar field is moderately massive, the power spectrum is suppressed at the long-wavelength scales.},

doi = {10.1140/epjc/s10052-018-6426-4},

journal = {European Physical Journal. C, Particles and Fields},

number = 11,

volume = 78,

place = {United States},

year = {2018},

month = {11}

}

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#### Figures / Tables:

FIG. 1: The power spectrum obtained by numerically solving the perturbations with $\tilde{m}$ = 0, H

_{0}= $\sqrt{8π/3}$.
All figures and tables
(7 total)

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Figures / Tables found in this record:

*Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.*