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Title: Emergence of Weak Coupling at Large Distance in Quantum Gravity

Abstract

The Ooguri-Vafa swampland conjectures claim that in any consistent theory of quantum gravity, when venturing to large distances in scalar field space, a tower of particles will become light at a rate that is exponential in the field-space distance. We provide a novel viewpoint on this claim: If we assume that a tower of states becomes light near a particular point in field space, and we further demand that loop corrections drive both gravity and the scalar to strong coupling at a common energy scale, then the requirement that the particles become light exponentially fast in the field-space distance in Planck units follows automatically. Furthermore, the same assumption of a common strong-coupling scale for scalar fields and gravitons implies that, when a scalar field evolves over a super-Planckian distance, the average particle mass changes by an amount of the order of the cutoff energy. This supports earlier suggestions that significantly super-Planckian excursions in field space cannot be described within a single effective field theory. We comment on the relationship of our results to the weak gravity conjecture.

Authors:
; ;
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1462782
Alternate Identifier(s):
OSTI ID: 1498972
Grant/Contract Number:  
SC0013607
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 121 Journal Issue: 5; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Heidenreich, Ben, Reece, Matthew, and Rudelius, Tom. Emergence of Weak Coupling at Large Distance in Quantum Gravity. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.121.051601.
Heidenreich, Ben, Reece, Matthew, & Rudelius, Tom. Emergence of Weak Coupling at Large Distance in Quantum Gravity. United States. doi:https://doi.org/10.1103/PhysRevLett.121.051601
Heidenreich, Ben, Reece, Matthew, and Rudelius, Tom. Fri . "Emergence of Weak Coupling at Large Distance in Quantum Gravity". United States. doi:https://doi.org/10.1103/PhysRevLett.121.051601.
@article{osti_1462782,
title = {Emergence of Weak Coupling at Large Distance in Quantum Gravity},
author = {Heidenreich, Ben and Reece, Matthew and Rudelius, Tom},
abstractNote = {The Ooguri-Vafa swampland conjectures claim that in any consistent theory of quantum gravity, when venturing to large distances in scalar field space, a tower of particles will become light at a rate that is exponential in the field-space distance. We provide a novel viewpoint on this claim: If we assume that a tower of states becomes light near a particular point in field space, and we further demand that loop corrections drive both gravity and the scalar to strong coupling at a common energy scale, then the requirement that the particles become light exponentially fast in the field-space distance in Planck units follows automatically. Furthermore, the same assumption of a common strong-coupling scale for scalar fields and gravitons implies that, when a scalar field evolves over a super-Planckian distance, the average particle mass changes by an amount of the order of the cutoff energy. This supports earlier suggestions that significantly super-Planckian excursions in field space cannot be described within a single effective field theory. We comment on the relationship of our results to the weak gravity conjecture.},
doi = {10.1103/PhysRevLett.121.051601},
journal = {Physical Review Letters},
number = 5,
volume = 121,
place = {United States},
year = {2018},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
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DOI: https://doi.org/10.1103/PhysRevLett.121.051601

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Cited by: 24 works
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Works referenced in this record:

The weak gravity conjecture and scalar fields
journal, August 2017


On the geometry of the string landscape and the swampland
journal, March 2007


The Weak Gravity Conjecture and emergence from an ultraviolet cutoff
journal, April 2018


The swampland conjecture and F-term axion monodromy inflation
journal, July 2017

  • Blumenhagen, Ralph; Valenzuela, Irene; Wolf, Florian
  • Journal of High Energy Physics, Vol. 2017, Issue 7
  • DOI: 10.1007/JHEP07(2017)145

The Weak Gravity Conjecture in three dimensions
journal, October 2016

  • Montero, Miguel; Shiu, Gary; Soler, Pablo
  • Journal of High Energy Physics, Vol. 2016, Issue 10
  • DOI: 10.1007/JHEP10(2016)159

Dynamical mass generation by compact extra dimensions
journal, July 1983


Black hole bound on the number of species and quantum gravity at CERN LHC
journal, February 2008


The F-theory geometry with most flux vacua
journal, December 2015

  • Taylor, Washington; Wang, Yi-Nan
  • Journal of High Energy Physics, Vol. 2015, Issue 12
  • DOI: 10.1007/JHEP12(2015)164

Gauged M-flation, its UV sensitivity and spectator species
journal, June 2011


Basic results in vacuum statistics
journal, November 2004


Naturally vanishing cosmological constant in N=1 supergravity
journal, December 1983


The string landscape, black holes and gravity as the weakest force
journal, June 2007


Black holes and large N species solution to the hierarchy problem
journal, April 2010


Weak gravity strongly constrains large-field axion inflation
journal, December 2015

  • Heidenreich, Ben; Reece, Matthew; Rudelius, Tom
  • Journal of High Energy Physics, Vol. 2015, Issue 12
  • DOI: 10.1007/JHEP12(2015)108

Radiative corrections to Kaluza-Klein masses
journal, August 2002


Flat monodromies and a Moduli Space Size Conjecture
journal, December 2017

  • Hebecker, Arthur; Henkenjohann, Philipp; Witkowski, Lukas T.
  • Journal of High Energy Physics, Vol. 2017, Issue 12
  • DOI: 10.1007/JHEP12(2017)033

Evidence for a sublattice weak gravity conjecture
journal, August 2017

  • Heidenreich, Ben; Reece, Matthew; Rudelius, Tom
  • Journal of High Energy Physics, Vol. 2017, Issue 8
  • DOI: 10.1007/JHEP08(2017)025

Extranatural Inflation
journal, June 2003


Wormholes, emergent gauge fields, and the weak gravity conjecture
journal, January 2016


Sharpening the weak gravity conjecture with dimensional reduction
journal, February 2016

  • Heidenreich, Ben; Reece, Matthew; Rudelius, Tom
  • Journal of High Energy Physics, Vol. 2016, Issue 2
  • DOI: 10.1007/JHEP02(2016)140

Monodromy in the CMB: Gravity waves and string inflation
journal, November 2008


A geometrical upper bound on the inflaton range
journal, May 2018

  • Cicoli, Michele; Ciupke, David; Mayrhofer, Christoph
  • Journal of High Energy Physics, Vol. 2018, Issue 5
  • DOI: 10.1007/JHEP05(2018)001

Radius stabilization and anomaly-mediated supersymmetry breaking
journal, July 2000


Backreacted axion field ranges in string theory
journal, August 2016


Completing natural inflation
journal, January 2005

  • Kim, Jihn E.; Nilles, Hans Peter; Peloso, Marco
  • Journal of Cosmology and Astroparticle Physics, Vol. 2005, Issue 01
  • DOI: 10.1088/1475-7516/2005/01/005

Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
journal, March 2005

  • Balasubramanian, Vijay; Berglund, Per; Conlon, Joseph P.
  • Journal of High Energy Physics, Vol. 2005, Issue 03
  • DOI: 10.1088/1126-6708/2005/03/007

Gravity waves and linear inflation from axion monodromy
journal, August 2010


A Tower Weak Gravity Conjecture from Infrared Consistency
journal, May 2018

  • Andriolo, Stefano; Junghans, Daniel; Noumi, Toshifumi
  • Fortschritte der Physik, Vol. 66, Issue 5
  • DOI: 10.1002/prop.201800020

Super-Planckian spatial field variations and quantum gravity
journal, January 2017


    Works referencing / citing this record:

    Pole N-flation
    journal, February 2019

    • Dias, Mafalda; Frazer, Jonathan; Retolaza, Ander
    • Journal of High Energy Physics, Vol. 2019, Issue 2
    • DOI: 10.1007/jhep02(2019)120

    Pole N-flation
    journal, February 2019

    • Dias, Mafalda; Frazer, Jonathan; Retolaza, Ander
    • Journal of High Energy Physics, Vol. 2019, Issue 2
    • DOI: 10.1007/jhep02(2019)120

    De Sitter vs Quintessence in String Theory
    journal, October 2018

    • Cicoli, M.; de Alwis, S.; Maharana, A.
    • Fortschritte der Physik, Vol. 67, Issue 1-2
    • DOI: 10.1002/prop.201800079

    The Asymptotic dS Swampland Conjecture - a Simplified Derivation and a Potential Loophole
    journal, December 2018


    The Swampland: Introduction and Review
    journal, April 2019


    Quantum log-corrections to swampland conjectures
    journal, February 2020

    • Blumenhagen, Ralph; Brinkmann, Max; Makridou, Andriana
    • Journal of High Energy Physics, Vol. 2020, Issue 2
    • DOI: 10.1007/jhep02(2020)064

    Putting the boot into the swampland
    journal, March 2019

    • Conlon, Joseph P.; Quevedo, Fernando
    • Journal of High Energy Physics, Vol. 2019, Issue 3
    • DOI: 10.1007/jhep03(2019)005

    Infinite distance networks in field space and charge orbits
    journal, March 2019

    • Grimm, Thomas W.; Li, Chongchuo; Palti, Eran
    • Journal of High Energy Physics, Vol. 2019, Issue 3
    • DOI: 10.1007/jhep03(2019)016

    Gravitational instabilities and censorship of large scalar field excursions
    journal, May 2019


    Infinite distances in field space and massless towers of states
    journal, August 2018

    • Grimm, Thomas W.; Palti, Eran; Valenzuela, Irene
    • Journal of High Energy Physics, Vol. 2018, Issue 8
    • DOI: 10.1007/jhep08(2018)143

    Instantons and infinite distances
    journal, August 2019

    • Marchesano, Fernando; Wiesner, Max
    • Journal of High Energy Physics, Vol. 2019, Issue 8
    • DOI: 10.1007/jhep08(2019)088

    Modular fluxes, elliptic genera, and weak gravity conjectures in four dimensions
    journal, August 2019

    • Lee, Seung-Joo; Lerche, Wolfgang; Weigand, Timo
    • Journal of High Energy Physics, Vol. 2019, Issue 8
    • DOI: 10.1007/jhep08(2019)104

    Repulsive forces and the weak gravity conjecture
    journal, October 2019

    • Heidenreich, Ben; Reece, Matthew; Rudelius, Tom
    • Journal of High Energy Physics, Vol. 2019, Issue 10
    • DOI: 10.1007/jhep10(2019)055

    What does inflation say about dark energy given the swampland conjectures?
    journal, August 2019


    Swampland conjecture in f ( R ) gravity by the Noether symmetry approach
    journal, October 2019


    Forays into the dark side of the swamp
    journal, November 2019


    Strongly coupled quintessence
    journal, November 2019


    Mass hierarchies and dynamical field range
    journal, September 2018


    Eternal inflation and swampland conjectures
    journal, January 2019