What initial condition of inflation would suppress the large-scale CMB spectrum?
Abstract
There is an apparent power deficit relative to the Λ CDM prediction of the cosmic microwave background spectrum at large scales, which, though not yet statistically significant, persists from WMAP to Planck data. Proposals that invoke some form of initial condition for the inflation have been made to address this apparent power suppression, albeit with conflicting conclusions. By studying the curvature perturbations of a scalar field in the Friedmann-Lemaître-Robertson-Walker universe parameterized by the equation of state parameter w, we find that the large-scale spectrum at the end of inflation reflects the superhorizon spectrum of the initial state. The large-scale spectrum is suppressed if the universe begins with the adiabatic vacuum in a superinflation (w < –1) or positive-pressure (w > 0) era. In the latter case, there is however no causal mechanism to establish the initial adiabatic vacuum. On the other hand, as long as the universe begins with the adiabatic vacuum in an era with –1 < w < 0, even if there exists an intermediate positive-pressure era, the large-scale spectrum would be enhanced rather than suppressed. In conclusion, we further calculate the spectrum of a two-stage inflation model with a two-field potential and show that the result agreesmore »
- Authors:
-
- National Taiwan Univ., Taipei (Taiwan); SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., Stanford, CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1261076
- Alternate Identifier(s):
- OSTI ID: 1234283
- Report Number(s):
- SLAC-PUB-16598
Journal ID: ISSN 2470-0010; PRVDAQ; arXiv:1505.05980
- Grant/Contract Number:
- AC02-76SF00515; AC03-76SF00515
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 2; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; astrophysics; gravitation and cosmology; GRQC
Citation Formats
Chen, Pisin, and Lin, Yu -Hsiang. What initial condition of inflation would suppress the large-scale CMB spectrum?. United States: N. p., 2016.
Web. doi:10.1103/PhysRevD.93.023503.
Chen, Pisin, & Lin, Yu -Hsiang. What initial condition of inflation would suppress the large-scale CMB spectrum?. United States. https://doi.org/10.1103/PhysRevD.93.023503
Chen, Pisin, and Lin, Yu -Hsiang. 2016.
"What initial condition of inflation would suppress the large-scale CMB spectrum?". United States. https://doi.org/10.1103/PhysRevD.93.023503. https://www.osti.gov/servlets/purl/1261076.
@article{osti_1261076,
title = {What initial condition of inflation would suppress the large-scale CMB spectrum?},
author = {Chen, Pisin and Lin, Yu -Hsiang},
abstractNote = {There is an apparent power deficit relative to the Λ CDM prediction of the cosmic microwave background spectrum at large scales, which, though not yet statistically significant, persists from WMAP to Planck data. Proposals that invoke some form of initial condition for the inflation have been made to address this apparent power suppression, albeit with conflicting conclusions. By studying the curvature perturbations of a scalar field in the Friedmann-Lemaître-Robertson-Walker universe parameterized by the equation of state parameter w, we find that the large-scale spectrum at the end of inflation reflects the superhorizon spectrum of the initial state. The large-scale spectrum is suppressed if the universe begins with the adiabatic vacuum in a superinflation (w < –1) or positive-pressure (w > 0) era. In the latter case, there is however no causal mechanism to establish the initial adiabatic vacuum. On the other hand, as long as the universe begins with the adiabatic vacuum in an era with –1 < w < 0, even if there exists an intermediate positive-pressure era, the large-scale spectrum would be enhanced rather than suppressed. In conclusion, we further calculate the spectrum of a two-stage inflation model with a two-field potential and show that the result agrees with that obtained from the ad hoc single-field analysis.},
doi = {10.1103/PhysRevD.93.023503},
url = {https://www.osti.gov/biblio/1261076},
journal = {Physical Review D},
issn = {2470-0010},
number = 2,
volume = 93,
place = {United States},
year = {Fri Jan 08 00:00:00 EST 2016},
month = {Fri Jan 08 00:00:00 EST 2016}
}
Web of Science
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