skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Positive curvature and scalar field tunneling in the landscape

Abstract

We present a model of vacuum tunneling through a classically forbidden region where a scalar field changes its value simultaneously over the entire volume of a (meta)stable ancestor vacuum with spherical curvature. The tunneling leaves the geometry unchanged but rearranges the energetic contributions of the matter sources, leading to an inflating solution with residual positive curvature. We show that there exists a parametric regime where this solution is self-consistent and dominates the overall tunneling rate. We conclude that an experimental detection of positive curvature, while not necessarily likely, therefore does not rule out the possibility that our present observer patch originated from semiclassical vacuum tunneling in a string or field theoretic landscape.

Authors:
Publication Date:
Research Org.:
Columbia Univ., New York, NY (United States); Univ. of California, San Diego, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Aeronautics and Space Administration (NASA); National Science Foundation (NSF)
OSTI Identifier:
1491777
Alternate Identifier(s):
OSTI ID: 1610195
Grant/Contract Number:  
FG02-92ER40699; SC001194; SC0009919; NNX10AN14G; PHY-1620610
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 2; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; astronomy & astrophysics; physics; evolution of the Universe; field & string theory models & techniques; quantum field in curved spacetime

Citation Formats

Horn, Bart. Positive curvature and scalar field tunneling in the landscape. United States: N. p., 2019. Web. https://doi.org/10.1103/PhysRevD.99.025010.
Horn, Bart. Positive curvature and scalar field tunneling in the landscape. United States. https://doi.org/10.1103/PhysRevD.99.025010
Horn, Bart. Wed . "Positive curvature and scalar field tunneling in the landscape". United States. https://doi.org/10.1103/PhysRevD.99.025010.
@article{osti_1491777,
title = {Positive curvature and scalar field tunneling in the landscape},
author = {Horn, Bart},
abstractNote = {We present a model of vacuum tunneling through a classically forbidden region where a scalar field changes its value simultaneously over the entire volume of a (meta)stable ancestor vacuum with spherical curvature. The tunneling leaves the geometry unchanged but rearranges the energetic contributions of the matter sources, leading to an inflating solution with residual positive curvature. We show that there exists a parametric regime where this solution is self-consistent and dominates the overall tunneling rate. We conclude that an experimental detection of positive curvature, while not necessarily likely, therefore does not rule out the possibility that our present observer patch originated from semiclassical vacuum tunneling in a string or field theoretic landscape.},
doi = {10.1103/PhysRevD.99.025010},
journal = {Physical Review D},
number = 2,
volume = 99,
place = {United States},
year = {2019},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.99.025010

Save / Share:

Works referenced in this record:

What if Planck’s Universe isn’t flat?
journal, April 2013


Supercooled phase transitions in the very early universe
journal, March 1982


Quantum tunneling and negative eigenvalues
journal, February 1988


Birth of inflationary universes
journal, June 1983


Tunneling transitions with gravitation: Breakdown of the quasiclassical approximation
journal, October 1985


How flat can you get? A model comparison perspective on the curvature of the Universe
journal, July 2009


A Measurement of Gravitational Lensing of the Microwave Background Using South pole Telescope data
journal, August 2012


Thermal derivation of the Coleman-De Luccia tunneling prescription
journal, September 2007


Exploring eternal stability with the simple harmonic universe
journal, August 2014

  • Graham, Peter W.; Horn, Bart; Rajendran, Surjeet
  • Journal of High Energy Physics, Vol. 2014, Issue 8
  • DOI: 10.1007/JHEP08(2014)163

Populating the Whole Landscape
journal, October 2011


Quantum creation of a universe with Ω≠1: Singular and nonsingular instantons
journal, September 1998


Transitions between de Sitter minima
journal, November 2007


False Vacuum Decay with Gravity: Negative Mode Problem
journal, September 1992

  • Tanaka, T.; Sasaki, M.
  • Progress of Theoretical Physics, Vol. 88, Issue 3
  • DOI: 10.1143/ptp/88.3.503

What can the observation of nonzero curvature tell us?
journal, July 2012


Cosmological perturbations in a Friedmann-Robertson-Walker model with a scalar field and false vacuum decay
journal, September 2000


Bounces with O ( 3 ) × O ( 2 ) symmetry
journal, November 2012


Erratum: What if Planck’s Universe isn’t flat? [Phys. Rev. D 87 , 081301(R) (2013).]
journal, June 2013


Hawking-Moss Bounces and Vacuum Decay Rates
journal, June 2007


Inflation after false vacuum decay: Observational prospects after Planck
journal, April 2015


Bounds on amplitudes in effective theories with massive spinning particles
journal, August 2018


Singular instantons and the creation of open universes
journal, June 1998


Origin of the Universe as a quantum tunneling event
journal, April 1982


Wave function of the Universe
journal, December 1983


Observational consequences of a landscape
journal, March 2006

  • Freivogel, Ben; Kleban, Matthew; Martínez, María Rodríguez
  • Journal of High Energy Physics, Vol. 2006, Issue 03
  • DOI: 10.1088/1126-6708/2006/03/039

Can we have inflation with   > 1?*
journal, May 2003


Quadratic action of the Hawking-Turok instanton
journal, August 1998


Gravitational effects on and of vacuum decay
journal, June 1980


Quantum creation of universes
journal, July 1984


Spatial curvature falsifies eternal inflation
journal, June 2012


Planck 2015 results : XIII. Cosmological parameters
journal, September 2016


Stabilizing oscillating universes against quantum decay
journal, July 2015


Towards a solution of the negative mode problem in quantum tunnelling with gravity
journal, July 2015


Homogeneous modes of cosmological instantons
journal, May 2001


Spatial curvature endgame: Reaching the limit of curvature determination
journal, July 2016


Inflation after false vacuum decay: new evidence from BICEP2
journal, December 2014

  • Bousso, Raphael; Harlow, Daniel; Senatore, Leonardo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 12
  • DOI: 10.1088/1475-7516/2014/12/019

Number of negative modes of the oscillating bounces
journal, April 2006


LATE-TIME COSMOLOGY WITH 21 cm INTENSITY MAPPING EXPERIMENTS
journal, April 2015


Collapse of simple harmonic universe
journal, January 2012


Geometrical constraint on curvature with BAO experiments
journal, December 2015


Creation of universes from nothing
journal, November 1982


A simple harmonic universe
journal, February 2014

  • Graham, Peter W.; Horn, Bart; Kachru, Shamit
  • Journal of High Energy Physics, Vol. 2014, Issue 2
  • DOI: 10.1007/JHEP02(2014)029

Does string theory predict an open universe?
journal, February 2008


Quantum tunneling effect in oscillating Friedmann cosmology
journal, September 1995


Negative mode problem in false vacuum decay with gravity
journal, June 2000


Fluctuations about cosmological instantons
journal, July 2006