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We show that the recently proposed weak gravity conjecture\cite{AMNV0601} can be extended to a class of scalar field theories. Taking gravity into account, we find an upper bound on the gravity interaction strength, expressed in terms of…

High Energy Physics - Theory · Physics 2010-02-03 Miao Li , Wei Song , Yushu Song , Tower Wang

The Axion Weak Gravity Conjecture provides one of the most effective quantum gravity tools for constraining particle physics and cosmology, but it has long been thought of as a slightly fuzzy statement: given an axion with decay constant…

High Energy Physics - Theory · Physics 2026-05-25 Muldrow Etheredge , Matthew Reece , Tom Rudelius , Christopher Tudball

We propose a new version of the scalar Weak Gravity Conjecture (WGC) which would apply to any scalar field coupled to quantum gravity. For a single scalar it is given by the differential constraint $V''\leq…

High Energy Physics - Theory · Physics 2019-10-02 Eduardo Gonzalo , Luis E. Ibáñez

We propose a generalisation of the Weak Gravity Conjecture in the presence of scalar fields. The proposal is guided by properties of extremal black holes in ${\cal N}=2$ supergravity, but can be understood more generally in terms of…

High Energy Physics - Theory · Physics 2017-09-13 Eran Palti

The Weak Gravity Conjecture holds that in a theory of quantum gravity, any gauge force must mediate interactions stronger than gravity for some particles. This statement has surprisingly deep and extensive connections to many different…

High Energy Physics - Theory · Physics 2023-09-14 Daniel Harlow , Ben Heidenreich , Matthew Reece , Tom Rudelius

We investigate the weak gravity bounds on the U(1) gauge theory and scalar field theories in various dimensional noncommutative space. Many results are obtained, such as the upper bound on the noncommutative scale $g_{YM}M_p$ for four…

High Energy Physics - Theory · Physics 2009-11-11 Qing-Guo Huang , Jian-Huang She

We explore possible extensions of the Weak Gravity Conjecture (WGC) to scalar field theories. To avoid charged black hole remnants, the WGC requires the existence of a particle with a mass $m < g q M_P$, with charge $q$ and U(1) gauge…

High Energy Physics - Theory · Physics 2023-05-22 Emilian Dudas , Tony Gherghetta , Keith A. Olive , Sarunas Verner

The axionic weak gravity conjecture predicts the existence of instantons whose actions are less than their charges in appropriate units. We show that the conjecture is satisfied for the axion-dilaton-gravity system if we assume duality…

High Energy Physics - Theory · Physics 2020-08-20 Stefano Andriolo , Tzu-Chen Huang , Toshifumi Noumi , Hirosi Ooguri , Gary Shiu

The weak gravity conjecture suggests that, in a self-consistent theory of quantum gravity, the strength of gravity is bounded from above by the strengths of the various gauge forces in the theory. In particular, this intriguing conjecture…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Shahar Hod

The axion Weak Gravity Conjecture implies that when parametrically increasing the axion decay constants, instanton corrections become increasingly important. We provide strong evidence for the validity of this conjecture by studying the…

High Energy Physics - Theory · Physics 2020-04-22 Thomas W. Grimm , Damian van de Heisteeg

We study scenarios where a scalar field has a spatially varying vacuum expectation value such that the total field variation is super-Planckian. We focus on the case where the scalar field controls the coupling of a U(1) gauge field, which…

High Energy Physics - Theory · Physics 2017-03-16 Daniel Klaewer , Eran Palti

The Weak Gravity Conjecture (WGC) bounds the mass of a particle by its charge. It is expected that this bound can not be below the ultraviolet cut-off scale of the effective theory. Recently, an extension of the WGC was proposed in the…

High Energy Physics - Theory · Physics 2018-04-04 Dieter Lust , Eran Palti

We revisit the Scalar Weak Gravity Conjecture and investigate the possibility to impose that scalar interactions dominate over gravitational ones. More precisely, we look for consequences of assuming that, for leading scalar interactions,…

High Energy Physics - Theory · Physics 2021-02-03 Karim Benakli , Carlo Branchina , Gaëtan Lafforgue-Marmet

Models of large-field inflation based on axion-like fields with shift symmetries can be simple and natural, and make a promising prediction of detectable primordial gravitational waves. The Weak Gravity Conjecture is known to constrain the…

High Energy Physics - Theory · Physics 2016-01-27 Ben Heidenreich , Matthew Reece , Tom Rudelius

Common features of known quantum gravity theories may hint at the general nature of quantum gravity. The absence of continuous global symmetries is one such feature. This inspired the Weak Gravity Conjecture, which bounds masses of charged…

High Energy Physics - Theory · Physics 2016-11-15 Ben Heidenreich , Matthew Reece , Tom Rudelius

The weak gravity conjecture states that quantum gravity theories have to contain a charged state with a charge-to-mass ratio bigger than unity. By studying unitarity and causality constraints on higher derivative corrections to the…

High Energy Physics - Theory · Physics 2019-08-07 Yuta Hamada , Toshifumi Noumi , Gary Shiu

The Weak Gravity Conjecture (WGC) is a proposed constraint on theories with gauge fields and gravity, requiring the existence of light charged particles and/or imposing an upper bound on the field theory cutoff $\Lambda$. If taken as a…

High Energy Physics - Theory · Physics 2017-01-25 Prashant Saraswat

We develop methods for resummation of instanton lattice series. Using these tools, we investigate the consequences of the Weak Gravity Conjecture for large-field axion inflation. We find that the Sublattice Weak Gravity Conjecture implies a…

High Energy Physics - Theory · Physics 2020-12-30 Ben Heidenreich , Cody Long , Liam McAllister , Tom Rudelius , John Stout

The weak-gravity bound has been discovered in several asymptotically safe gravity-matter systems. It limits the strength of gravitational fluctuations that are compatible with an ultraviolet-complete matter sector, and results from the…

High Energy Physics - Theory · Physics 2023-07-19 Gustavo P. de Brito , Benjamin Knorr , Marc Schiffer

It has recently been suggested that "gravity is the weakest force" in any theory with a suitable UV completion within quantum gravity. One formulation of this statement is the scalar weak gravity conjecture, which states that gravity is…

High Energy Physics - Theory · Physics 2019-04-26 Satoshi Shirai , Masahito Yamazaki
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