Suppression of the long-wavelength CMB spectrum from the Hartle–Hawking wave function in the Starobinsky-type inflation model
Abstract
The lack of correlations on the large scale cosmic microwave background (CMB) anisotropy provides a potential window to probe beyond the standard inflationary scenario. Herein, we investigate the primordial power spectrum based on the Hartle–Hawking (HH) no-boundary proposal for a homogeneous, isotropic, and spatially-closed universe that leads to Starobinsky-type inflation after the classicalization. While we found that there is no suppression at large scales in the standard $R+R^2$ theory, we also found that it is possible to sufficiently suppress the large-scale power spectrum if a pre-inflationary stage is introduced to the Starobinsky-type model. In addition, such a pre-inflationary stage will be helpful to explain the preference of large e-foldings of the $HH$ proposal. We calculate the $$C^{TT}_{ℓ}$$ correlation function and show that our proposal gives a better fit to the Planck CMB data. This suggests that our universe might have begun with a compact $HH$ state with a small positive curvature.
- Authors:
-
- National Taiwan Univ., Taipei (Taiwan); SLAC National Accelerator Lab., Menlo Park, CA (United States). Kavli Institute for Particle Astrophysics and Cosmology
- National Taiwan Univ., Taipei (Taiwan)
- Asia Pacific Center for Theoretical Physics, Pohang (Republic of Korea); POSTECH, Pohang (Republic of Korea); Pusan National Univ., Busan (Republic of Korea)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE; Taiwan National Science Council; Korean Ministry of Education, Science and Technology; National Research Foundation of Korea (NRF); Asia Pacific Center for Theoretical Physics
- OSTI Identifier:
- 1608984
- Alternate Identifier(s):
- OSTI ID: 1579446
- Grant/Contract Number:
- AC02-76SF00515; 2018R1D1A1B07049126
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of the Dark Universe
- Additional Journal Information:
- Journal Volume: 27; Journal Issue: C; Journal ID: ISSN 2212-6864
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS
Citation Formats
Chen, Pisin, Yeh, Hsiao-Heng, and Yeom, Dong-Han. Suppression of the long-wavelength CMB spectrum from the Hartle–Hawking wave function in the Starobinsky-type inflation model. United States: N. p., 2019.
Web. doi:10.1016/j.dark.2019.100435.
Chen, Pisin, Yeh, Hsiao-Heng, & Yeom, Dong-Han. Suppression of the long-wavelength CMB spectrum from the Hartle–Hawking wave function in the Starobinsky-type inflation model. United States. https://doi.org/10.1016/j.dark.2019.100435
Chen, Pisin, Yeh, Hsiao-Heng, and Yeom, Dong-Han. Thu .
"Suppression of the long-wavelength CMB spectrum from the Hartle–Hawking wave function in the Starobinsky-type inflation model". United States. https://doi.org/10.1016/j.dark.2019.100435. https://www.osti.gov/servlets/purl/1608984.
@article{osti_1608984,
title = {Suppression of the long-wavelength CMB spectrum from the Hartle–Hawking wave function in the Starobinsky-type inflation model},
author = {Chen, Pisin and Yeh, Hsiao-Heng and Yeom, Dong-Han},
abstractNote = {The lack of correlations on the large scale cosmic microwave background (CMB) anisotropy provides a potential window to probe beyond the standard inflationary scenario. Herein, we investigate the primordial power spectrum based on the Hartle–Hawking (HH) no-boundary proposal for a homogeneous, isotropic, and spatially-closed universe that leads to Starobinsky-type inflation after the classicalization. While we found that there is no suppression at large scales in the standard $R+R^2$ theory, we also found that it is possible to sufficiently suppress the large-scale power spectrum if a pre-inflationary stage is introduced to the Starobinsky-type model. In addition, such a pre-inflationary stage will be helpful to explain the preference of large e-foldings of the $HH$ proposal. We calculate the $C^{TT}_{ℓ}$ correlation function and show that our proposal gives a better fit to the Planck CMB data. This suggests that our universe might have begun with a compact $HH$ state with a small positive curvature.},
doi = {10.1016/j.dark.2019.100435},
journal = {Physics of the Dark Universe},
number = C,
volume = 27,
place = {United States},
year = {2019},
month = {12}
}
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