The Weak Gravity Conjecture and emergence from an ultraviolet cutoff

Heidenreich, Ben; Reece, Matthew; Rudelius, Tom

doi:10.1140/epjc/s10052-018-5811-3

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

Journal Article · Thu Apr 26 00:00:00 EDT 2018 · European Physical Journal. C, Particles and Fields

DOI:https://doi.org/10.1140/epjc/s10052-018-5811-3· OSTI ID:1510007

Heidenreich, Ben ^[1]; Reece, Matthew ^[2];

^[3]

Perimeter Inst. for Theoretical Physics, Waterloo, (Canada)
Harvard Univ., Cambridge, MA (United States)
Inst. for Advanced Study, Princeton, NJ (United States)

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.

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Research Organization:: Harvard Univ., Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0013607

OSTI ID:: 1510007

Journal Information:: European Physical Journal. C, Particles and Fields, Vol. 78, Issue 4; ISSN 1434-6044

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 77 works

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Racing through the swampland: de Sitter uplift vs. weak gravity Moritz, Jakob; Van Riet, Thomas Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2018-03907	text	January 2018
Infinite Distances in Field Space and Massless Towers of States Grimm, Thomas W.; Palti, Eran; Valenzuela, Irene arXiv https://doi.org/10.48550/arxiv.1802.08264	text	January 2018
Pole N-flation Dias, Mafalda; Frazer, Jonathan; Retolaza, Ander arXiv https://doi.org/10.48550/arxiv.1805.02659	text	January 2018
A Universal Bound on the Strong Coupling Scale of a Gravitationally Coupled Massive Spin-2 Particle Bonifacio, James; Hinterbichler, Kurt arXiv https://doi.org/10.48550/arxiv.1806.10607	text	January 2018
Photon Masses in the Landscape and the Swampland Reece, Matthew arXiv https://doi.org/10.48550/arxiv.1808.09966	text	January 2018
A Spin-2 Conjecture on the Swampland Klaewer, Daniel; Lust, Dieter; Palti, Eran arXiv https://doi.org/10.48550/arxiv.1811.07908	text	January 2018
Modular Fluxes, Elliptic Genera, and Weak Gravity Conjectures in Four Dimensions Lee, Seung-Joo; Lerche, Wolfgang; Weigand, Timo arXiv https://doi.org/10.48550/arxiv.1901.08065	text	January 2019
The Swampland: Introduction and Review Palti, Eran arXiv https://doi.org/10.48550/arxiv.1903.06239	text	January 2019
Quantum Log-Corrections to Swampland Conjectures Blumenhagen, Ralph; Brinkmann, Max; Makridou, Andriana arXiv https://doi.org/10.48550/arxiv.1910.10185	text	January 2019