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Renormalization flow of axion electrodynamics

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We study the renormalization flow of axion electrodynamics, concentrating on the nonperturbative running of the axion-photon coupling and the mass of the axion(-like) particle. Due to a nonrenormalization property of the axion-photon vertex, the renormalization flow is controlled by photon and axion...

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Main Authors: Eichhorn, Astrid (Author) , Gies, Holger (Author) , Roscher, Dietrich (Author)
Format: Article (Journal)
Language:English
Published: 4 December 2012
In: Physical review. D, Particles, fields, gravitation, and cosmology
Year: 2012, Volume: 86, Issue: 12
ISSN:1550-2368
DOI:10.1103/PhysRevD.86.125014
Online Access:Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevD.86.125014
Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.86.125014
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Author Notes:Astrid Eichhorn, Holger Gies, and Dietrich Roscher

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520 |a We study the renormalization flow of axion electrodynamics, concentrating on the nonperturbative running of the axion-photon coupling and the mass of the axion(-like) particle. Due to a nonrenormalization property of the axion-photon vertex, the renormalization flow is controlled by photon and axion anomalous dimensions. As a consequence, momentum-independent axion self-interactions are not induced by photon fluctuations. The nonperturbative flow towards the ultraviolet exhibits a Landau-pole-type behavior, implying that the system has a scale of maximum UV extension and that the renormalized axion-photon coupling in the deep infrared is bounded from above. Even though gauge invariance guarantees that photon fluctuations do not decouple in the infrared, the renormalized couplings remain finite even in the deep infrared and even for massless axions. Within our truncation, we also observe the existence of an exceptional renormalization group trajectory, which is extendable to arbitrarily high scales, without being governed by a UV fixed point. 
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