The monodromic axion-photon coupling

Abstract We consider the general form of the axion coupling to photons in the axion-Maxwell theory. On general grounds this coupling takes the form of a monodromic function of the axion, which we call g(a), multiplying the Chern-Pontryagin density F F ~ $$ F\overset{\sim }{F} $$ of the photon. We sh...

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Main Authors: Prateek Agrawal, Arthur Platschorre
Format: Article
Language:English
Published: SpringerOpen 2024-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2024)169
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author Prateek Agrawal
Arthur Platschorre
author_facet Prateek Agrawal
Arthur Platschorre
author_sort Prateek Agrawal
collection DOAJ
description Abstract We consider the general form of the axion coupling to photons in the axion-Maxwell theory. On general grounds this coupling takes the form of a monodromic function of the axion, which we call g(a), multiplying the Chern-Pontryagin density F F ~ $$ F\overset{\sim }{F} $$ of the photon. We show that the non-linearity of g(a) is a spurion for the shift symmetry of the axion. In this context, when g(a) ≠ ℤa, the linearized coupling of the axion g′(a) is not quantized and there is a correlated mass term for the axion. Singularities in g(a) due to the fast rearrangement of degrees of freedom are shown to have corresponding cusps and singularities in the axion potential. We derive the general form of g(a) for the QCD axion, axions with perturbatively broken shift symmetries and axions descending from extra dimensions. In all cases, we show that there is a uniform general form of the monodromic function g(a) and it is connected to the axion potential.
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spelling doaj.art-4643645a90c64f0abee59938752614be2024-01-28T12:25:24ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024112610.1007/JHEP01(2024)169The monodromic axion-photon couplingPrateek Agrawal0Arthur Platschorre1Rudolf Peierls Centre for Theoretical Physics, University of OxfordRudolf Peierls Centre for Theoretical Physics, University of OxfordAbstract We consider the general form of the axion coupling to photons in the axion-Maxwell theory. On general grounds this coupling takes the form of a monodromic function of the axion, which we call g(a), multiplying the Chern-Pontryagin density F F ~ $$ F\overset{\sim }{F} $$ of the photon. We show that the non-linearity of g(a) is a spurion for the shift symmetry of the axion. In this context, when g(a) ≠ ℤa, the linearized coupling of the axion g′(a) is not quantized and there is a correlated mass term for the axion. Singularities in g(a) due to the fast rearrangement of degrees of freedom are shown to have corresponding cusps and singularities in the axion potential. We derive the general form of g(a) for the QCD axion, axions with perturbatively broken shift symmetries and axions descending from extra dimensions. In all cases, we show that there is a uniform general form of the monodromic function g(a) and it is connected to the axion potential.https://doi.org/10.1007/JHEP01(2024)169Axions and ALPsEffective Field TheoriesNew Light Particles
spellingShingle Prateek Agrawal
Arthur Platschorre
The monodromic axion-photon coupling
Journal of High Energy Physics
Axions and ALPs
Effective Field Theories
New Light Particles
title The monodromic axion-photon coupling
title_full The monodromic axion-photon coupling
title_fullStr The monodromic axion-photon coupling
title_full_unstemmed The monodromic axion-photon coupling
title_short The monodromic axion-photon coupling
title_sort monodromic axion photon coupling
topic Axions and ALPs
Effective Field Theories
New Light Particles
url https://doi.org/10.1007/JHEP01(2024)169
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