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We show that Euclidean axion wormholes in theories of gravity coupled to a single axion have several independent inhomogeneous perturbations that lower the Euclidean action. Our analysis relies on a judiciously chosen gauge-invariant…

High Energy Physics - Theory · Physics 2019-08-28 Thomas Hertog , Brecht Truijen , Thomas Van Riet

Continuous global symmetries are expected to be broken by gravity, which can lead to important phenomenological consequences. A prime example is the threat that this poses to the viability of the Peccei-Quinn solution to the strong CP…

High Energy Physics - Phenomenology · Physics 2021-01-12 James Alvey , Miguel Escudero

If Euclidean wormholes contribute meaningfully to the path integral of quantum gravity they can have important implications for particle physics and cosmology. The dominant effects arise from wormholes whose sizes are comparable to the…

High Energy Physics - Theory · Physics 2022-11-10 Stefano Andriolo , Gary Shiu , Pablo Soler , Thomas Van Riet

Wormholes -- solutions to the euclidean Einstein equations with non-trivial topology -- are usually assumed to make real contributions to amplitudes in quantum gravity. However, we find a negative mode among fluctuations about the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 V. A. Rubakov , O. Yu. Shvedov

We study the perturbative stability of Euclidean axion-dilaton wormholes that asymptotically approach flat space, both with a massless and a massive dilaton, and focussing on homogeneous perturbations. We find massless wormholes to always…

High Energy Physics - Theory · Physics 2024-03-25 Caroline Jonas , George Lavrelashvili , Jean-Luc Lehners

Axions play a central role in inflationary model building and other cosmological applications. This is mainly due to their flat potential, which is protected by a global shift symmetry. However, quantum gravity is known to break global…

High Energy Physics - Theory · Physics 2017-03-08 Arthur Hebecker , Patrick Mangat , Stefan Theisen , Lukas T. Witkowski

QCD axion models have been proposed as a solution to the strong CP problem. QCD instanton effects explicitly violate the global U(1) Peccei-Quinn (PQ) symmetry, and the axion potential is minimized at the CP conserving points. However, it…

High Energy Physics - Theory · Physics 2023-10-24 Yoshiki Kanazawa

The prototype of a Euclidean wormhole solution of Einstein gravity coupled to matter is the axion wormhole in four spacetime dimensions. In this primarily expository article, we spell out some details about this construction. The axion…

High Energy Physics - Theory · Physics 2026-02-25 Edward Witten

We reconsider the perturbative stability of Euclidean axion wormholes. The quadratic action that governs linear perturbations is derived directly in Euclidean gravity. We demonstrate explicitly that a stability analysis in which one treats…

High Energy Physics - Theory · Physics 2024-07-30 T. Hertog , S. Maenaut , B. Missoni , R. Tielemans , T. Van Riet

Previous studies of linearized stability of asymptotically flat Euclidean axion wormholes found that symmetric modes suffered from divergences. We show that such divergences were an artifact of a particular way of solving the constraints,…

High Energy Physics - Theory · Physics 2025-09-09 Donald Marolf , Bruno Missoni

The euclidean path integral remains, in spite of its familiar problems, an important approach to quantum gravity. One of its most striking and obscure features is the appearance of gravitational instantons or wormholes. These renormalize…

High Energy Physics - Theory · Physics 2018-10-11 Arthur Hebecker , Thomas Mikhail , Pablo Soler

We employ the effective field theory approach to analyze the characteristics of Euclidean wormholes within axion theories. Using this approach, we obtain non-perturbative instantons in various complex scalar models with and without a…

High Energy Physics - Theory · Physics 2024-11-11 Dhong Yeon Cheong , Seong Chan Park , Chang Sub Shin

Euclidean wormholes have played a key role in the recent ``disorder averaged" approaches to quantum gravity and holography, but are typically only considered in somewhat special theories of gravity, such as theories in low dimensions or…

High Energy Physics - Theory · Physics 2025-03-18 Alexander Maloney , Viraj Meruliya , Mark Van Raamsdonk

On the basis of exact solutions to the Einstein-Abelian gauge-dilaton equations in $D$-dimensional gravity, the properties of static axial configurations are discussed. Solutions free of curvature singularities are selected; they can be…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Kirill A. Bronnikov , Julio C. Fabris

A static wormhole solution for gravity in vacuum is found for odd dimensions greater than four. In five dimensions the gravitational theory considered is described by the Einstein-Gauss-Bonnet action where the coupling of the quadratic term…

High Energy Physics - Theory · Physics 2008-11-26 Gustavo Dotti , Julio Oliva , Ricardo Troncoso

Euclidean wormhole geometries sourced by axions and dilatons are puzzling objects in quantum gravity. From one side of the wormhole to the other, the scalar fields traverse a few Planck lengths in field space and so corrections from the UV…

High Energy Physics - Theory · Physics 2023-07-05 Gregory J. Loges , Gary Shiu , Thomas Van Riet

As was discovered some time ago by Giddings and Strominger (GS), an axion can support a wormhole geometry in the presence of a massless dilaton, as long as the dilaton coupling remains below a critical value. We find that when the dilaton…

High Energy Physics - Theory · Physics 2023-06-21 Caroline Jonas , George Lavrelashvili , Jean-Luc Lehners

We construct wormholes supported by axion flux in the presence of a positive cosmological constant. The solutions describe compact, one-handle bodies colloquially known as kettlebell geometries. The wormholes are perturbatively stable, but…

High Energy Physics - Theory · Physics 2023-11-29 Sergio E. Aguilar-Gutierrez , Thomas Hertog , Rob Tielemans , Jan Pieter van der Schaar , Thomas Van Riet

This paper investigates static wormhole solutions through Noether symmetry approach in the context of energy-momentum squared gravity. This newly developed proposal resolves the singularity of big-bang and yields feasible cosmological…

General Relativity and Quantum Cosmology · Physics 2021-05-12 M. Sharif , M. Zeeshan Gul

Wormhole solutions in gravitational theories typically require exotic matter. Here we present a wormhole solution to the field equations of Einsteinian Cubic Gravity -- a phenomenological competitor to general relativity that includes terms…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Mengqi Lu , Jiayue Yang , Robert B. Mann
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