Defect QED: dielectric without a dielectric, monopole without a monopole

Abstract We study a class of defect quantum field theories where the quantum field theory in the 3+1-dimensional bulk is a free photon and charged matter and the interactions of the photons with the charges occur entirely on a 2+1-dimensional defect. We observe that at the fully quantum level, the e...

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Main Authors: Gianluca Grignani, Gordon W. Semenoff
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP11(2019)114
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author Gianluca Grignani
Gordon W. Semenoff
author_facet Gianluca Grignani
Gordon W. Semenoff
author_sort Gianluca Grignani
collection DOAJ
description Abstract We study a class of defect quantum field theories where the quantum field theory in the 3+1-dimensional bulk is a free photon and charged matter and the interactions of the photons with the charges occur entirely on a 2+1-dimensional defect. We observe that at the fully quantum level, the effective action of such a theory is still a defect field theory with free photons propagating in the bulk and the nonlinearities in the quantum corrections to the Maxwell equations confined to the defect. We use this observation to show that the defect field theory has interesting electromagnetic properties. The electromagnetic fields sourced by static test charges are attenuated as if the bulk surrounding them were filled with a dielectric material. This is particularly interesting when the observer and test charge are on opposite sides of the defect. Then the effect is isotropic and it is operative even in the region near the defect. If the defect is in a time reversal violating state, image charges have the appearance of electrically and magnetically charged dyons. We present the example of a single layer in a quantum Hall state. We observe that the charge screening effect in charge neutral graphene should be significant, and even more dramatic when the layer is in a metallic state with mobile electrons.
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spelling doaj.art-22af754e015140b39c6a4af8e1b484662022-12-21T22:53:22ZengSpringerOpenJournal of High Energy Physics1029-84792019-11-0120191112410.1007/JHEP11(2019)114Defect QED: dielectric without a dielectric, monopole without a monopoleGianluca Grignani0Gordon W. Semenoff1Dipartimento di Fisica e Geologia, Università di Perugia, I.N.F.N. Sezione di PerugiaDepartment of Physics and Astronomy, University of British ColumbiaAbstract We study a class of defect quantum field theories where the quantum field theory in the 3+1-dimensional bulk is a free photon and charged matter and the interactions of the photons with the charges occur entirely on a 2+1-dimensional defect. We observe that at the fully quantum level, the effective action of such a theory is still a defect field theory with free photons propagating in the bulk and the nonlinearities in the quantum corrections to the Maxwell equations confined to the defect. We use this observation to show that the defect field theory has interesting electromagnetic properties. The electromagnetic fields sourced by static test charges are attenuated as if the bulk surrounding them were filled with a dielectric material. This is particularly interesting when the observer and test charge are on opposite sides of the defect. Then the effect is isotropic and it is operative even in the region near the defect. If the defect is in a time reversal violating state, image charges have the appearance of electrically and magnetically charged dyons. We present the example of a single layer in a quantum Hall state. We observe that the charge screening effect in charge neutral graphene should be significant, and even more dramatic when the layer is in a metallic state with mobile electrons.http://link.springer.com/article/10.1007/JHEP11(2019)114Conformal Field TheoryField Theories in Lower Dimensions
spellingShingle Gianluca Grignani
Gordon W. Semenoff
Defect QED: dielectric without a dielectric, monopole without a monopole
Journal of High Energy Physics
Conformal Field Theory
Field Theories in Lower Dimensions
title Defect QED: dielectric without a dielectric, monopole without a monopole
title_full Defect QED: dielectric without a dielectric, monopole without a monopole
title_fullStr Defect QED: dielectric without a dielectric, monopole without a monopole
title_full_unstemmed Defect QED: dielectric without a dielectric, monopole without a monopole
title_short Defect QED: dielectric without a dielectric, monopole without a monopole
title_sort defect qed dielectric without a dielectric monopole without a monopole
topic Conformal Field Theory
Field Theories in Lower Dimensions
url http://link.springer.com/article/10.1007/JHEP11(2019)114
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AT gordonwsemenoff defectqeddielectricwithoutadielectricmonopolewithoutamonopole