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Title: The Weak Gravity Conjecture and emergence from an ultraviolet cutoff

Abstract

We study ultraviolet cutoffs associated with the Weak Gravity Conjecture (WGC) and Sublattice Weak Gravity Conjecture (sLWGC). There is a magnetic WGC cutoff at the energy scale eG$$ \mathbb -1/2\atop{N} $$ with an associated sLWGC tower of charged particles. A more fundamental cutoff is the scale at which gravity becomes strong and field theory breaks down entirely. By clarifying the nature of the sLWGC for non-abelian gauge groups we derive a parametric upper bound on this strong gravity scale for arbitrary gauge theories. Intriguingly, we show that in theories approximately saturating the sLWGC, the scales at which loop corrections from the tower of charged particles to the gauge boson and graviton propagators become important are parametrically identical. This suggests a picture in which gauge fields emerge from the quantum gravity scale by integrating out a tower of charged matter fields. We derive a converse statement: if a gauge theory becomes strongly coupled at or below the quantum gravity scale, the WGC follows. We sketch some phenomenological consequences of the UV cutoffs we derive.

Authors:
 [1];  [2]; ORCiD logo [3]
  1. Perimeter Inst. for Theoretical Physics, Waterloo, (Canada)
  2. Harvard Univ., Cambridge, MA (United States)
  3. Inst. for Advanced Study, Princeton, NJ (United States)
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1510007
Grant/Contract Number:  
[SC0013607]
Resource Type:
Accepted Manuscript
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
[ Journal Volume: 78; Journal Issue: 4]; Journal ID: ISSN 1434-6044
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Heidenreich, Ben, Reece, Matthew, and Rudelius, Tom. The Weak Gravity Conjecture and emergence from an ultraviolet cutoff. United States: N. p., 2018. Web. doi:10.1140/epjc/s10052-018-5811-3.
Heidenreich, Ben, Reece, Matthew, & Rudelius, Tom. The Weak Gravity Conjecture and emergence from an ultraviolet cutoff. United States. doi:10.1140/epjc/s10052-018-5811-3.
Heidenreich, Ben, Reece, Matthew, and Rudelius, Tom. Thu . "The Weak Gravity Conjecture and emergence from an ultraviolet cutoff". United States. doi:10.1140/epjc/s10052-018-5811-3. https://www.osti.gov/servlets/purl/1510007.
@article{osti_1510007,
title = {The Weak Gravity Conjecture and emergence from an ultraviolet cutoff},
author = {Heidenreich, Ben and Reece, Matthew and Rudelius, Tom},
abstractNote = {We study ultraviolet cutoffs associated with the Weak Gravity Conjecture (WGC) and Sublattice Weak Gravity Conjecture (sLWGC). There is a magnetic WGC cutoff at the energy scale eG$ \mathbb -1/2\atop{N} $ with an associated sLWGC tower of charged particles. A more fundamental cutoff is the scale at which gravity becomes strong and field theory breaks down entirely. By clarifying the nature of the sLWGC for non-abelian gauge groups we derive a parametric upper bound on this strong gravity scale for arbitrary gauge theories. Intriguingly, we show that in theories approximately saturating the sLWGC, the scales at which loop corrections from the tower of charged particles to the gauge boson and graviton propagators become important are parametrically identical. This suggests a picture in which gauge fields emerge from the quantum gravity scale by integrating out a tower of charged matter fields. We derive a converse statement: if a gauge theory becomes strongly coupled at or below the quantum gravity scale, the WGC follows. We sketch some phenomenological consequences of the UV cutoffs we derive.},
doi = {10.1140/epjc/s10052-018-5811-3},
journal = {European Physical Journal. C, Particles and Fields},
number = [4],
volume = [78],
place = {United States},
year = {2018},
month = {4}
}

Journal Article:
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Cited by: 25 works
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Figures / Tables:

Fig. 1 Fig. 1: The nonabelian sLWGC (left) and abelian sLWGC (right) for an SU(2) gauge group. For a sublattice of fixed index, the nonabelian sLWGC requires many more particles charged under the U(1) Cartan below a given mass scale than the abelian sLWGC does, as the latter can be satisfied bymore » particles charged under a sparse set of representations, provided they are sufficiently light« less

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Works referenced in this record:

ETHOS—an effective theory of structure formation: From dark particle physics to the matter distribution of the Universe
journal, June 2016


A note on gauge theories coupled to gravity
journal, September 2006


Low-energy effective field theory for chromo-natural inflation
journal, February 2013

  • Dimastrogiovanni, Emanuela; Fasiello, Matteo; Tolley, Andrew J.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 02
  • DOI: 10.1088/1475-7516/2013/02/046

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


A Chern-Simons pandemic
journal, July 2017

  • Montero, Miguel; Uranga, Angel M.; Valenzuela, Irene
  • Journal of High Energy Physics, Vol. 2017, Issue 7
  • DOI: 10.1007/JHEP07(2017)123

Natural Inflation on a Steep Potential with Classical Non-Abelian Gauge Fields
journal, June 2012


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

Large-field inflation with multiple axions and the weak gravity conjecture
journal, February 2016


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


Constraints on axion inflation from the weak gravity conjecture
journal, September 2015


Winding out of the Swamp: Evading the weak gravity conjecture with F -term winding inflation?
journal, September 2015


A note on the WGC, effective field theory and clockwork within string theory
journal, February 2018

  • Ibáñez, Luis E.; Montero, Miguel
  • Journal of High Energy Physics, Vol. 2018, Issue 2
  • DOI: 10.1007/JHEP02(2018)057

Natural inflation with pseudo Nambu-Goldstone bosons
journal, December 1990


Not even decoupling can save the minimal supersymmetric SU(5) model
journal, February 2002


Symmetries and strings in field theory and gravity
journal, April 2011


Weak gravity conjecture and effective field theory
journal, January 2017


The Weak Gravity Conjecture and the axionic black hole paradox
journal, September 2017


Charged black holes in string theory
journal, May 1991

  • Garfinkle, David; Horowitz, Gary T.; Strominger, Andrew
  • Physical Review D, Vol. 43, Issue 10
  • DOI: 10.1103/PhysRevD.43.3140

Fencing in the swampland: quantum gravity constraints on large field inflation
journal, October 2015

  • Brown, Jon; Cottrell, William; Shiu, Gary
  • Journal of High Energy Physics, Vol. 2015, Issue 10
  • DOI: 10.1007/JHEP10(2015)023

A proof of the weak gravity conjecture
journal, October 2017


N -flation
journal, August 2008

  • Dimopoulos, S.; Kachru, S.; McGreevy, J.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2008, Issue 08
  • DOI: 10.1088/1475-7516/2008/08/003

Higgsed Chromo-Natural Inflation
journal, December 2016

  • Adshead, Peter; Martinec, Emil; Sfakianakis, Evangelos I.
  • Journal of High Energy Physics, Vol. 2016, Issue 12
  • DOI: 10.1007/JHEP12(2016)137

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


Black holes in higher dimensional space-times
journal, December 1986


Evidence for dark matter interactions in cosmological precision data?
journal, February 2016

  • Lesgourgues, Julien; Marques-Tavares, Gustavo; Schmaltz, Martin
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 02
  • DOI: 10.1088/1475-7516/2016/02/037

Non-Gaussianities and chiral gravitational waves in natural steep inflation
journal, June 2012


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

Transplanckian axions!?
journal, August 2015

  • Montero, Miguel; Uranga, Angel M.; Valenzuela, Irene
  • Journal of High Energy Physics, Vol. 2015, Issue 8
  • DOI: 10.1007/JHEP08(2015)032

What is the magnetic Weak Gravity Conjecture for axions?: WGC for Axions
journal, March 2017

  • Hebecker, Arthur; Henkenjohann, Philipp; Witkowski, Lukas T.
  • Fortschritte der Physik, Vol. 65, Issue 3-4
  • DOI: 10.1002/prop.201700011

Gauge-flation vs chromo-natural inflation
journal, October 2012


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

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


Gauge-flation: Inflation from non-Abelian gauge fields
journal, June 2013


Planckian axions and the Weak Gravity Conjecture
journal, January 2016

  • Bachlechner, Thomas C.; Long, Cody; McAllister, Liam
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/JHEP01(2016)091

Massless black holes and conifolds in string theory
journal, September 1995


Gaugid inflation
journal, November 2017

  • Piazza, Federico; Pirtskhalava, David; Rattazzi, Riccardo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 11
  • DOI: 10.1088/1475-7516/2017/11/041

Unbroken B – L symmetry
journal, December 2014


Perturbations in Chromo-Natural Inflation
journal, September 2013

  • Adshead, Peter; Martinec, Emil; Wyman, Mark
  • Journal of High Energy Physics, Vol. 2013, Issue 9
  • DOI: 10.1007/JHEP09(2013)087

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


Proton decay at M pl and the scale of SUSY-breaking
journal, February 2014

  • Dine, Michael; Draper, Patrick; Shepherd, William
  • Journal of High Energy Physics, Vol. 2014, Issue 2
  • DOI: 10.1007/JHEP02(2014)027

Interacting dark sector and precision cosmology
journal, January 2018

  • Buen-Abad, Manuel A.; Schmaltz, Martin; Lesgourgues, Julien
  • Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 01
  • DOI: 10.1088/1475-7516/2018/01/008

Gauge-flation trajectories in chromo-natural inflation
journal, August 2012


Antigravitating black hole solitons with scalar hair in N=4 supergravity
journal, November 1982


The weak gravity conjecture and scalar fields
journal, August 2017


Discrete gauge symmetry anomalies
journal, May 1991


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

Torsion-balance tests of the weak equivalence principle
journal, August 2012


Backreaction issues in axion monodromy and Minkowski 4-forms
journal, June 2017


Transplanckian censorship and global cosmic strings
journal, April 2017

  • Dolan, Matthew J.; Draper, Patrick; Kozaczuk, Jonathan
  • Journal of High Energy Physics, Vol. 2017, Issue 4
  • DOI: 10.1007/JHEP04(2017)133

Axion experiments to algebraic geometry: Testing quantum gravity via the Weak Gravity Conjecture
journal, October 2016

  • Heidenreich, Ben; Reece, Matthew; Rudelius, Tom
  • International Journal of Modern Physics D, Vol. 25, Issue 12
  • DOI: 10.1142/S0218271816430057

Non-Abelian dark matter and dark radiation
journal, July 2015

  • Buen-Abad, Manuel A.; Marques-Tavares, Gustavo; Schmaltz, Martin
  • Physical Review D, Vol. 92, Issue 2
  • DOI: 10.1103/PhysRevD.92.023531

Gauge fields and inflation
journal, July 2013


Weak Gravity Conjecture and Black Holes in $N = 2$ Supergravity
conference, October 2017

  • Shiu, Gary; Cottrell, William; Soler, Pablo
  • Proceedings of Corfu Summer Institute 2016 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2016)
  • DOI: 10.22323/1.292.0130

Black holes and membranes in higher-dimensional theories with dilaton fields
journal, March 1988


A phenomenological comparison of conventional and supersymmetric guts
journal, July 1982


Primordial gravitational waves from axion-gauge fields dynamics
journal, January 2017

  • Dimastrogiovanni, Emanuela; Fasiello, Matteo; Fujita, Tomohiro
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 01
  • DOI: 10.1088/1475-7516/2017/01/019

Evaporation of microscopic black holes in string theory and the bound on species
journal, April 2010


Wandering in the Lyman-alpha forest: a study of dark matter-dark radiation interactions
journal, September 2017

  • Krall, Rebecca; Cyr-Racine, Francis-Yan; Dvorkin, Cora
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 09
  • DOI: 10.1088/1475-7516/2017/09/003

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


Supersymmetry at ordinary energies. Masses and conservation laws
journal, July 1982


Partially acoustic dark matter, interacting dark radiation, and large scale structure
journal, December 2016

  • Chacko, Zackaria; Cui, Yanou; Hong, Sungwoo
  • Journal of High Energy Physics, Vol. 2016, Issue 12
  • DOI: 10.1007/JHEP12(2016)108

Backreacted axion field ranges in string theory
journal, August 2016


Running of the gravitational constant
journal, May 2012


Gauge fields and inflation: Chiral gravitational waves, fluctuations, and the Lyth bound
journal, July 2013


Naturalness and the Weak Gravity Conjecture
journal, July 2014


Non-Abelian gauge preheating
journal, December 2017


Evidence for an electrifying violation of cosmic censorship
journal, September 2016


Violating the Weak Cosmic Censorship Conjecture in Four-Dimensional Anti–de Sitter Space
journal, May 2017


Does the detection of primordial gravitational waves exclude low energy inflation?
journal, March 2018


    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

    Racing through the swampland: de Sitter uplift vs. weak gravity
    journal, September 2018


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