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QED positivity bounds

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Title: QED positivity bounds
Authors: Alberte, L
De Rham, C
Jaitly, S
Tolley, AJ
Item Type: Journal Article
Abstract: We apply positivity bounds directly to a U ( 1 ) gauge theory with charged scalars and charged fermions, i.e., QED, minimally coupled to gravity. Assuming that the massless t -channel pole may be discarded, we show that the improved positivity bounds are violated unless new physics is introduced at the parametrically low scale Λ new ∼ ( e m M Pl ) 1 / 2 , consistent with similar results for scalar field theories, far lower than the scale implied by the weak gravity conjecture. This is sharply contrasted with previous treatments which focus on the application of positivity bounds to the low energy gravitational Euler-Heisenberg effective theory only. We emphasize that the low cutoff is a consequence of applying the positivity bounds under the assumption that the pole may be discarded. We conjecture an alternative resolution that a small amount of negativity, consistent with decoupling limits, is allowed and is not in conflict with standard UV completions, including weakly coupled ones.
Issue Date: 22-Jun-2021
Date of Acceptance: 24-May-2021
URI: http://hdl.handle.net/10044/1/92075
DOI: 10.1103/PhysRevD.103.125020
ISSN: 1550-2368
Publisher: American Physical Society
Start Page: 1
End Page: 26
Journal / Book Title: Physical Review D: Particles, Fields, Gravitation and Cosmology
Volume: 103
Issue: 12
Copyright Statement: © 2021 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Sponsor/Funder: The Royal Society
Simons Foundation
Science and Technology Facilities Council (STFC)
European Research Council
Science and Technology Facilities Council (STFC)
Science and Technology Facilities Council [2006-2012]
Funder's Grant Number: WM150044
PP00P2 123386
724659 MassiveCosmo ERC-2016-COG
Keywords: Science & Technology
Physical Sciences
Astronomy & Astrophysics
Physics, Particles & Fields
Science & Technology
Physical Sciences
Astronomy & Astrophysics
Physics, Particles & Fields
Publication Status: Published
Article Number: ARTN 125020
Online Publication Date: 2021-06-22
Appears in Collections:Physics
Theoretical Physics

This item is licensed under a Creative Commons License Creative Commons