Positive curvature and scalar field tunneling in the landscape

Horn, Bart

doi:10.1103/physrevd.99.025010

Title: Positive curvature and scalar field tunneling in the landscape

Journal Article · 23 January 2019 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.99.025010 · OSTI ID:1491777

Horn, Bart ^[1]

Univ. of California at San Diego, La Jolla, CA (United States); Manhattan College, New York, NY (United States)

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.

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Research Organization:: Columbia Univ., New York, NY (United States); Univ. of California, San Diego, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC); National Aeronautics and Space Administration (NASA); National Science Foundation (NSF); USDOE

Grant/Contract Number:: FG02-92ER40699; SC0009919; NNX10AN14G; PHY-1620610; SC001194

OSTI ID:: 1491777

Alternate ID(s):: OSTI ID: 1610195

Journal Information:: Physical Review. D., Vol. 99, Issue 2; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (51)

What if Planck’s Universe isn’t flat? Bull, Philip; Kamionkowski, Marc Physical Review D, Vol. 87, Issue 8 https://doi.org/10.1103/PhysRevD.87.081301	journal	April 2013
Supercooled phase transitions in the very early universe Hawking, S. W.; Moss, I. L. Physics Letters B, Vol. 110, Issue 1 https://doi.org/10.1016/0370-2693(82)90946-7	journal	March 1982
Quantum tunneling and negative eigenvalues Coleman, Sidney Nuclear Physics B, Vol. 298, Issue 1 https://doi.org/10.1016/0550-3213(88)90308-2	journal	February 1988
Birth of inflationary universes Vilenkin, Alexander Physical Review D, Vol. 27, Issue 12 https://doi.org/10.1103/PhysRevD.27.2848	journal	June 1983
Tunneling transitions with gravitation: Breakdown of the quasiclassical approximation Lavrelashvili, G. V.; Rubakov, V. A.; Tinyakov, P. G. Physics Letters B, Vol. 161, Issue 4-6 https://doi.org/10.1016/0370-2693(85)90761-0	journal	October 1985
How flat can you get? A model comparison perspective on the curvature of the Universe Vardanyan, Mihran; Trotta, Roberto; Silk, Joseph Monthly Notices of the Royal Astronomical Society, Vol. 397, Issue 1 https://doi.org/10.1111/j.1365-2966.2009.14938.x	journal	July 2009
A Measurement of Gravitational Lensing of the Microwave Background Using South pole Telescope data van Engelen, A.; Keisler, R.; Zahn, O. The Astrophysical Journal, Vol. 756, Issue 2 https://doi.org/10.1088/0004-637X/756/2/142	journal	August 2012
Thermal derivation of the Coleman-De Luccia tunneling prescription Brown, Adam R.; Weinberg, Erick J. Physical Review D, Vol. 76, Issue 6 https://doi.org/10.1103/PhysRevD.76.064003	journal	September 2007
Exploring eternal stability with the simple harmonic universe Graham, Peter W.; Horn, Bart; Rajendran, Surjeet Journal of High Energy Physics, Vol. 2014, Issue 8 https://doi.org/10.1007/JHEP08(2014)163	journal	August 2014
Populating the Whole Landscape Brown, Adam R.; Dahlen, Alex Physical Review Letters, Vol. 107, Issue 17 https://doi.org/10.1103/PhysRevLett.107.171301	journal	October 2011
Quantum creation of a universe with Ω≠1: Singular and nonsingular instantons Bousso, Raphael; Linde, Andrei Physical Review D, Vol. 58, Issue 8 https://doi.org/10.1103/PhysRevD.58.083503	journal	September 1998
Transitions between de Sitter minima Batra, Puneet; Kleban, Matthew Physical Review D, Vol. 76, Issue 10 https://doi.org/10.1103/PhysRevD.76.103510	journal	November 2007
False Vacuum Decay with Gravity: Negative Mode Problem Tanaka, T.; Sasaki, M. Progress of Theoretical Physics, Vol. 88, Issue 3 https://doi.org/10.1143/ptp/88.3.503	journal	September 1992
What can the observation of nonzero curvature tell us? Guth, Alan H.; Nomura, Yasunori Physical Review D, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevD.86.023534	journal	July 2012
Cosmological perturbations in a Friedmann-Robertson-Walker model with a scalar field and false vacuum decay Khvedelidze, Arsen; Lavrelashvili, George; Tanaka, Takahiro Physical Review D, Vol. 62, Issue 8 https://doi.org/10.1103/PhysRevD.62.083501	journal	September 2000
Bounces with O ( 3 ) × O ( 2 ) symmetry Masoumi, Ali; Weinberg, Erick J. Physical Review D, Vol. 86, Issue 10 https://doi.org/10.1103/PhysRevD.86.104029	journal	November 2012
Erratum: What if Planck’s Universe isn’t flat? [Phys. Rev. D 87 , 081301(R) (2013).] Bull, Philip; Kamionkowski, Marc Physical Review D, Vol. 87, Issue 12 https://doi.org/10.1103/PhysRevD.87.129901	journal	June 2013
Hawking-Moss Bounces and Vacuum Decay Rates Weinberg, Erick J. Physical Review Letters, Vol. 98, Issue 25 https://doi.org/10.1103/PhysRevLett.98.251303	journal	June 2007
Inflation after false vacuum decay: Observational prospects after Planck Bousso, Raphael; Harlow, Daniel; Senatore, Leonardo Physical Review D, Vol. 91, Issue 8 https://doi.org/10.1103/PhysRevD.91.083527	journal	April 2015
Bounds on amplitudes in effective theories with massive spinning particles Bonifacio, James; Hinterbichler, Kurt Physical Review D, Vol. 98, Issue 4 https://doi.org/10.1103/PhysRevD.98.045003	journal	August 2018
Singular instantons and the creation of open universes Vilenkin, Alexander Physical Review D, Vol. 57, Issue 12 https://doi.org/10.1103/PhysRevD.57.R7069	journal	June 1998
Origin of the Universe as a quantum tunneling event Atkatz, David; Pagels, Heinz Physical Review D, Vol. 25, Issue 8 https://doi.org/10.1103/PhysRevD.25.2065	journal	April 1982
Wave function of the Universe Hartle, J. B.; Hawking, S. W. Physical Review D, Vol. 28, Issue 12 https://doi.org/10.1103/PhysRevD.28.2960	journal	December 1983
Observational consequences of a landscape Freivogel, Ben; Kleban, Matthew; Martínez, María Rodríguez Journal of High Energy Physics, Vol. 2006, Issue 03 https://doi.org/10.1088/1126-6708/2006/03/039	journal	March 2006
Can we have inflation with > 1?* Linde, Andrei Journal of Cosmology and Astroparticle Physics, Vol. 2003, Issue 05 https://doi.org/10.1088/1475-7516/2003/05/002	journal	May 2003
Quadratic action of the Hawking-Turok instanton Lavrelashvili, George Physical Review D, Vol. 58, Issue 6 https://doi.org/10.1103/PhysRevD.58.063505	journal	August 1998
Gravitational effects on and of vacuum decay Coleman, Sidney; De Luccia, Frank Physical Review D, Vol. 21, Issue 12 https://doi.org/10.1103/PhysRevD.21.3305	journal	June 1980
Quantum creation of universes Vilenkin, Alexander Physical Review D, Vol. 30, Issue 2 https://doi.org/10.1103/PhysRevD.30.509	journal	July 1984
Spatial curvature falsifies eternal inflation Kleban, Matthew; Schillo, Marjorie Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 06 https://doi.org/10.1088/1475-7516/2012/06/029	journal	June 2012
Planck 2015 results : XIII. Cosmological parameters Ade, P. A. R.; Aghanim, N.; Arnaud, M. Astronomy & Astrophysics, Vol. 594 https://doi.org/10.1051/0004-6361/201525830	journal	September 2016
Stabilizing oscillating universes against quantum decay Mithani, Audrey T.; Vilenkin, Alexander Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 07 https://doi.org/10.1088/1475-7516/2015/07/010	journal	July 2015
Towards a solution of the negative mode problem in quantum tunnelling with gravity Koehn, Michael; Lavrelashvili, George; Lehners, Jean-Luc Physical Review D, Vol. 92, Issue 2 https://doi.org/10.1103/PhysRevD.92.023506	journal	July 2015
Homogeneous modes of cosmological instantons Gratton, Steven; Turok, Neil Physical Review D, Vol. 63, Issue 12 https://doi.org/10.1103/PhysRevD.63.123514	journal	May 2001
Spatial curvature endgame: Reaching the limit of curvature determination Leonard, C. Danielle; Bull, Philip; Allison, Rupert Physical Review D, Vol. 94, Issue 2 https://doi.org/10.1103/PhysRevD.94.023502	journal	July 2016
Inflation after false vacuum decay: new evidence from BICEP2 Bousso, Raphael; Harlow, Daniel; Senatore, Leonardo Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 12 https://doi.org/10.1088/1475-7516/2014/12/019	journal	December 2014
Number of negative modes of the oscillating bounces Lavrelashvili, George Physical Review D, Vol. 73, Issue 8 https://doi.org/10.1103/PhysRevD.73.083513	journal	April 2006
LATE-TIME COSMOLOGY WITH 21 cm INTENSITY MAPPING EXPERIMENTS Bull, Philip; Ferreira, Pedro G.; Patel, Prina The Astrophysical Journal, Vol. 803, Issue 1 https://doi.org/10.1088/0004-637X/803/1/21	journal	April 2015
Collapse of simple harmonic universe Mithani, Audrey T.; Vilenkin, Alexander Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 01 https://doi.org/10.1088/1475-7516/2012/01/028	journal	January 2012
Geometrical constraint on curvature with BAO experiments Takada, Masahiro; Doré, Olivier Physical Review D, Vol. 92, Issue 12 https://doi.org/10.1103/PhysRevD.92.123518	journal	December 2015
Creation of universes from nothing Vilenkin, Alexander Physics Letters B, Vol. 117, Issue 1-2 https://doi.org/10.1016/0370-2693(82)90866-8	journal	November 1982
A simple harmonic universe Graham, Peter W.; Horn, Bart; Kachru, Shamit Journal of High Energy Physics, Vol. 2014, Issue 2 https://doi.org/10.1007/JHEP02(2014)029	journal	February 2014
Does string theory predict an open universe? Buniy, Roman V.; Hsu, Stephen D. H.; Zee, A. Physics Letters B, Vol. 660, Issue 4 https://doi.org/10.1016/j.physletb.2008.01.007	journal	February 2008
Quantum tunneling effect in oscillating Friedmann cosmology Da̧browski, Mariusz P.; Larsen, Arne L. Physical Review D, Vol. 52, Issue 6 https://doi.org/10.1103/PhysRevD.52.3424	journal	September 1995
Negative mode problem in false vacuum decay with gravity Lavrelashvili, George Nuclear Physics B - Proceedings Supplements, Vol. 88, Issue 1-3 https://doi.org/10.1016/S0920-5632(00)00756-8	journal	June 2000
Fluctuations about cosmological instantons Dunne, Gerald V.; Wang, Qing-hai Physical Review D, Vol. 74, Issue 2 https://doi.org/10.1103/PhysRevD.74.024018	journal	July 2006
Inflation after false vacuum decay: new evidence from BICEP2 Bousso, Raphael; Harlow, Daniel; Senatore, Leonardo Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 12 https://doi.org/10.1088/1475-7516/2014/12/019	journal	December 2014
How flat can you get? A model comparison perspective on the curvature of the Universe Vardanyan, Mihran; Trotta, Roberto; Silk, Joe arXiv https://doi.org/10.48550/arxiv.0901.3354	text	January 2009
Towards a Solution of the Negative Mode Problem in Quantum Tunnelling with Gravity Koehn, Michael; Lavrelashvili, George; Lehners, Jean-Luc arXiv https://doi.org/10.48550/arxiv.1504.04334	text	January 2015
On cosmological perturbations in FRW model with scalar field and false vacuum decay Khvedelidze, Arsen; Lavrelashvili, George; Tanaka, Takahiro arXiv https://doi.org/10.48550/arxiv.gr-qc/0001041	text	January 2000
On the quadratic action of the Hawking-Turok instanton Lavrelashvili, George arXiv https://doi.org/10.48550/arxiv.gr-qc/9804056	text	January 1998
Does string theory predict an open universe? Buniy, R.; Hsu, S.; Zee, A. arXiv https://doi.org/10.48550/arxiv.hep-th/0610231	text	January 2006

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