The weak gravity conjecture in the Vilkovisky-DeWitt effective action of quantum gravity

The Weak Gravity Conjecture states that in any consistent theory of quantum gravity in the landscape of string theory, the repulsive force mediated by a U(1) gauge field must be stronger than the attractive force of gravity. In this work, we calculate quantum gravitational corrections to the charge-...

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Main Authors: Tommaso Antonelli, Xavier Calmet
Format: Article
Language:English
Published: Elsevier 2025-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269325001637
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author Tommaso Antonelli
Xavier Calmet
author_facet Tommaso Antonelli
Xavier Calmet
author_sort Tommaso Antonelli
collection DOAJ
description The Weak Gravity Conjecture states that in any consistent theory of quantum gravity in the landscape of string theory, the repulsive force mediated by a U(1) gauge field must be stronger than the attractive force of gravity. In this work, we calculate quantum gravitational corrections to the charge-to-mass ratio of extremal Reissner-Nordström black holes, using the Vilkovisky-deWitt unique effective action approach, since this ratio provides a discriminant to select low-energy effective theories of quantum gravity that fulfill the conjecture. We find that depending on the values of the Wilson coefficients of the effective action, some UV complete theories may fulfill the conjecture, while others may not.
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spelling doaj-art-db5cd1bf96c247468d92738eb6f8df7c2025-08-20T02:17:26ZengElsevierPhysics Letters B0370-26932025-05-0186413940310.1016/j.physletb.2025.139403The weak gravity conjecture in the Vilkovisky-DeWitt effective action of quantum gravityTommaso Antonelli0Xavier Calmet1Department of Physics and Astronomy, University of Sussex, Brighton, BN1 9QH, United KingdomCorresponding author.; Department of Physics and Astronomy, University of Sussex, Brighton, BN1 9QH, United KingdomThe Weak Gravity Conjecture states that in any consistent theory of quantum gravity in the landscape of string theory, the repulsive force mediated by a U(1) gauge field must be stronger than the attractive force of gravity. In this work, we calculate quantum gravitational corrections to the charge-to-mass ratio of extremal Reissner-Nordström black holes, using the Vilkovisky-deWitt unique effective action approach, since this ratio provides a discriminant to select low-energy effective theories of quantum gravity that fulfill the conjecture. We find that depending on the values of the Wilson coefficients of the effective action, some UV complete theories may fulfill the conjecture, while others may not.http://www.sciencedirect.com/science/article/pii/S0370269325001637
spellingShingle Tommaso Antonelli
Xavier Calmet
The weak gravity conjecture in the Vilkovisky-DeWitt effective action of quantum gravity
Physics Letters B
title The weak gravity conjecture in the Vilkovisky-DeWitt effective action of quantum gravity
title_full The weak gravity conjecture in the Vilkovisky-DeWitt effective action of quantum gravity
title_fullStr The weak gravity conjecture in the Vilkovisky-DeWitt effective action of quantum gravity
title_full_unstemmed The weak gravity conjecture in the Vilkovisky-DeWitt effective action of quantum gravity
title_short The weak gravity conjecture in the Vilkovisky-DeWitt effective action of quantum gravity
title_sort weak gravity conjecture in the vilkovisky dewitt effective action of quantum gravity
url http://www.sciencedirect.com/science/article/pii/S0370269325001637
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