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Title: Why concave rather than convex inflaton potential?

Abstract

The Planck data on cosmic microwave background indicates that the Starobinsky-type model with concave inflation potential is favored over the convex-type chaotic inflation. Is there any reason for that? Here we argue that if our universe began with a Euclidean wormhole, then the Starobinsky-type inflation is probabilistically favored. It is known that for a more generic choice of parameters than that originally assumed by Hartle and Hawking, the Hartle–Hawking wave function is dominated by Euclidean wormholes, which can be interpreted as the creation of two classical universes from nothing. We show that only one end of the wormhole can be classicalized for a convex potential, while both ends can be classicalized for a concave potential. The latter is therefore more probable.

Authors:
 [1]; ORCiD logo [2]
  1. National Taiwan University, Taipei (Taiwan); SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)
  2. Asia Pacific Center for Theoretical Physics, Pohang (Korea); POSTECH, Pohang (Korea)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1490621
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Volume: 78; Journal Issue: 10; Journal ID: ISSN 1434-6044
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Chen, Pisin, and Yeom, Dong-han. Why concave rather than convex inflaton potential?. United States: N. p., 2018. Web. doi:10.1140/epjc/s10052-018-6357-0.
Chen, Pisin, & Yeom, Dong-han. Why concave rather than convex inflaton potential?. United States. doi:10.1140/epjc/s10052-018-6357-0.
Chen, Pisin, and Yeom, Dong-han. Fri . "Why concave rather than convex inflaton potential?". United States. doi:10.1140/epjc/s10052-018-6357-0. https://www.osti.gov/servlets/purl/1490621.
@article{osti_1490621,
title = {Why concave rather than convex inflaton potential?},
author = {Chen, Pisin and Yeom, Dong-han},
abstractNote = {The Planck data on cosmic microwave background indicates that the Starobinsky-type model with concave inflation potential is favored over the convex-type chaotic inflation. Is there any reason for that? Here we argue that if our universe began with a Euclidean wormhole, then the Starobinsky-type inflation is probabilistically favored. It is known that for a more generic choice of parameters than that originally assumed by Hartle and Hawking, the Hartle–Hawking wave function is dominated by Euclidean wormholes, which can be interpreted as the creation of two classical universes from nothing. We show that only one end of the wormhole can be classicalized for a convex potential, while both ends can be classicalized for a concave potential. The latter is therefore more probable.},
doi = {10.1140/epjc/s10052-018-6357-0},
journal = {European Physical Journal. C, Particles and Fields},
issn = {1434-6044},
number = 10,
volume = 78,
place = {United States},
year = {2018},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

FIG. 1 FIG. 1: Complex time contour and numerical solution of ar, ai, $\phi$r, and $\phi$i for Vch. The upper gure is a physical interpretation about the wormhole, where Part A (red) and C (green) are Lorentzian and Part B (blue) is Euclidean.

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