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Title: Reconstructing the local potential of inflation with BICEP2 data

Abstract

We locally reconstruct the inflationary potential by using the current constraints on r and n{sub s} from BICEP2 data. Assuming small and negligible α{sub s}, the inflationary potential is approximately linear in Δφ∼ M{sub pl} range but becomes non-linear in Δφ∼ 10 M{sub pl} range. However if we vary the value of α{sub s} within the range given by constraints from Planck measurement, the local reconstruction is only valid in the range of Δφ∼ 0.4 M{sub pl}, which challenges the inflationary background from the point of view of effective field theory. We show that, within the range of Δ φ ∼ 0.4 M{sub pl}, the inflation potential can be precisely reconstructed. With the current reconstruction, we show that V(φ) ∼ φ{sup 2} and φ{sup 3} are consistent, while φ model is ruled out by 95% confidence level of the reconstructed range of potential. This sets up a strong limit of large-field inflation models.

Authors:
 [1];  [2]
  1. Department of Physics and Astronomy, University of British Columbia, 6224 Agricultural Road, Vancouver, BC, V6T 1Z1 Canada (Canada)
  2. Centre for Theoretical Cosmology, DAMTP, University of Cambridge, Wilberforce Rd, Cambridge, CB3 0WA U.K. (United Kingdom)
Publication Date:
OSTI Identifier:
22375866
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2014; Journal Issue: 09; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COSMOLOGICAL INFLATION; FIELD THEORIES; NONLINEAR PROBLEMS; POTENTIALS

Citation Formats

Ma, Yin-Zhe, and Wang, Yi. Reconstructing the local potential of inflation with BICEP2 data. United States: N. p., 2014. Web. doi:10.1088/1475-7516/2014/09/041.
Ma, Yin-Zhe, & Wang, Yi. Reconstructing the local potential of inflation with BICEP2 data. United States. https://doi.org/10.1088/1475-7516/2014/09/041
Ma, Yin-Zhe, and Wang, Yi. 2014. "Reconstructing the local potential of inflation with BICEP2 data". United States. https://doi.org/10.1088/1475-7516/2014/09/041.
@article{osti_22375866,
title = {Reconstructing the local potential of inflation with BICEP2 data},
author = {Ma, Yin-Zhe and Wang, Yi},
abstractNote = {We locally reconstruct the inflationary potential by using the current constraints on r and n{sub s} from BICEP2 data. Assuming small and negligible α{sub s}, the inflationary potential is approximately linear in Δφ∼ M{sub pl} range but becomes non-linear in Δφ∼ 10 M{sub pl} range. However if we vary the value of α{sub s} within the range given by constraints from Planck measurement, the local reconstruction is only valid in the range of Δφ∼ 0.4 M{sub pl}, which challenges the inflationary background from the point of view of effective field theory. We show that, within the range of Δ φ ∼ 0.4 M{sub pl}, the inflation potential can be precisely reconstructed. With the current reconstruction, we show that V(φ) ∼ φ{sup 2} and φ{sup 3} are consistent, while φ model is ruled out by 95% confidence level of the reconstructed range of potential. This sets up a strong limit of large-field inflation models.},
doi = {10.1088/1475-7516/2014/09/041},
url = {https://www.osti.gov/biblio/22375866}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 09,
volume = 2014,
place = {United States},
year = {Mon Sep 01 00:00:00 EDT 2014},
month = {Mon Sep 01 00:00:00 EDT 2014}
}