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Connections between weak gravity conjecture (WGC) bounds and scattering positivity have been extensively studied over the past decade. This work further explores these connections by proposing positivity as a potential amplitude criterion…

High Energy Physics - Theory · Physics 2025-05-08 Tran Quang Loc

We derive new positivity bounds for scattering amplitudes in theories with a massless graviton in the spectrum in four spacetime dimensions, of relevance for the weak gravity conjecture and modified gravity theories. The bounds imply that…

High Energy Physics - Theory · Physics 2019-12-25 Brando Bellazzini , Matthew Lewandowski , Javi Serra

The nature of dark matter is a problem with too many potential solutions. We investigate whether a consistent embedding into quantum gravity can decimate the number of solutions to the dark-matter problem. Concretely, we focus on a hidden…

High Energy Physics - Phenomenology · Physics 2024-03-21 Gustavo P. de Brito , Astrid Eichhorn , Mads T. Frandsen , Martin Rosenlyst , Mattias E. Thing , Arthur F. Vieira

We analyze the weak-field limit of General Relativity with matter and its possible quantisations. This analysis aims towards a predictive quantum theory to provide a first-principles description of gravitational effects in macroscopic…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Charis Anastopoulos , Mihalis Lagouvardos , Konstantina Savvidou

Quantum gravity is investigated in the limit of a large number of space-time dimensions, using as an ultraviolet regularization the simplicial lattice path integral formulation. In the weak field limit the appropriate expansion parameter is…

High Energy Physics - Theory · Physics 2008-11-26 Herbert W. Hamber , Ruth M. Williams

The true nature of gravity is a remarkable open problem in Gravitation. Theoretical and observational motivations open the avenue of alternative theories of gravity. One possibility resorts to nonminimal couplings and non-metricity…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Cláudio Gomes

Asymptotic Safety implies that observables including scattering amplitudes remain finite at the highest energy scales. Traditionally, this feature is connected to an interacting fixed point of the Wilsonian renormalization group that…

High Energy Physics - Theory · Physics 2022-10-31 Benjamin Knorr , Chris Ripken , Frank Saueressig

The field of asymptotically safe matter-gravity systems is maturing from the study of simple toy models to the exploration of sectors of the Standard Model and beyond. This status update reviews the current state of the art and points out…

General Relativity and Quantum Cosmology · Physics 2022-01-28 Astrid Eichhorn

The gravitational positivity bound gives quantitative "swampland'' constraints on low-energy effective theories inside theories of quantum gravity. We give a comprehensive discussion of this bound for those interested in applications to…

High Energy Physics - Phenomenology · Physics 2024-07-17 Katsuki Aoki , Toshifumi Noumi , Ryo Saito , Sota Sato , Satoshi Shirai , Junsei Tokuda , Masahito Yamazaki

In the asymptotic safety paradigm, a quantum field theory reaches a regime with quantum scale invariance in the ultraviolet, which is described by an interacting fixed point of the Renormalization Group. Compelling hints for the viability…

General Relativity and Quantum Cosmology · Physics 2018-08-01 Astrid Eichhorn

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

We consider the gravitational correction to the running of gauge coupling. Weak gravity conjecture implies that the gauge theories break down when the gravitational correction becomes greater than the contribution from gauge theories. This…

High Energy Physics - Theory · Physics 2010-10-27 Qing-Guo Huang

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 study the ultraviolet stability of gravity-matter systems for general numbers of minimally coupled scalars and fermions. This is done within the functional renormalisation group setup put forward in \cite{Christiansen:2015rva} for pure…

High Energy Physics - Theory · Physics 2016-05-23 Jan Meibohm , Jan M. Pawlowski , Manuel Reichert

Asymptotically safe quantum gravity is a candidate theory to quantum gravity, which could unify the gravitational interaction with particle physics. It is characterized by quantum scale-symmetry at high energies. The constraining power of…

General Relativity and Quantum Cosmology · Physics 2025-10-01 Marc Schiffer

Building a consistent Quantum Theory of Gravity is one of the most challenging aspects of modern theoretical physics. In the past couple of years, new attempts have been made along the path of ``asymptotic safety'' through the use of Exact…

High Energy Physics - Theory · Physics 2009-11-10 Daniele Perini

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

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

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 asymptotic safety scenario of gravity conjectures that (i) the quantum field theory of gravity exists thanks to the presence of a non-trivial ultraviolet fixed point of the renormalization group, and that (ii) the fixed point has only a…

High Energy Physics - Theory · Physics 2013-05-16 Dario Benedetti