Conformal magnetic effect at the edge: A numerical study in scalar QED

Quantum polarization effects associated with the conformal anomaly in a static magnetic field background may generate a transverse electric current in the vacuum. The current may be produced either in an unbounded curved spacetime or in a flat spacetime in a physically bounded system. In both cases,...

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Main Authors: M.N. Chernodub, V.A. Goy, A.V. Molochkov
Format: Article
Language:English
Published: Elsevier 2019-02-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269319300152
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spelling doaj-f3ecb30ed20e4127bd05408fd322398f2020-11-25T02:38:59ZengElsevierPhysics Letters B0370-26932019-02-01789556561Conformal magnetic effect at the edge: A numerical study in scalar QEDM.N. Chernodub0V.A. Goy1A.V. Molochkov2Institut Denis Poisson UMR 7013, Université de Tours, 37200, France; Laboratory of Physics of Living Matter, Far Eastern Federal University, Sukhanova 8, Vladivostok, 690950, Russia; Corresponding author.Laboratory of Physics of Living Matter, Far Eastern Federal University, Sukhanova 8, Vladivostok, 690950, RussiaLaboratory of Physics of Living Matter, Far Eastern Federal University, Sukhanova 8, Vladivostok, 690950, RussiaQuantum polarization effects associated with the conformal anomaly in a static magnetic field background may generate a transverse electric current in the vacuum. The current may be produced either in an unbounded curved spacetime or in a flat spacetime in a physically bounded system. In both cases, the magnitude of the electric current is proportional to the beta-function associated with renormalization of the electric charge. In our article, we investigate the electric current density induced by the magnetic field in the vicinity of a Dirichlet boundary in the scalar QED. Using first-principle lattice simulations we show that the electric current, generated by this “conformal magnetic effect at the edge” (CMEE), is well described by the conformal anomaly provided the conformal symmetry is classically unbroken. Outside of the conformal limit, the current density is characterized by an anomalous power law near the edge of the system and by an exponential suppression of the current far away from the edge. Keywords: Conformal anomaly, Scalar quantum electrodynamics, Anomalous transport, Lattice gauge theoryhttp://www.sciencedirect.com/science/article/pii/S0370269319300152
collection DOAJ
language English
format Article
sources DOAJ
author M.N. Chernodub
V.A. Goy
A.V. Molochkov
spellingShingle M.N. Chernodub
V.A. Goy
A.V. Molochkov
Conformal magnetic effect at the edge: A numerical study in scalar QED
Physics Letters B
author_facet M.N. Chernodub
V.A. Goy
A.V. Molochkov
author_sort M.N. Chernodub
title Conformal magnetic effect at the edge: A numerical study in scalar QED
title_short Conformal magnetic effect at the edge: A numerical study in scalar QED
title_full Conformal magnetic effect at the edge: A numerical study in scalar QED
title_fullStr Conformal magnetic effect at the edge: A numerical study in scalar QED
title_full_unstemmed Conformal magnetic effect at the edge: A numerical study in scalar QED
title_sort conformal magnetic effect at the edge: a numerical study in scalar qed
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2019-02-01
description Quantum polarization effects associated with the conformal anomaly in a static magnetic field background may generate a transverse electric current in the vacuum. The current may be produced either in an unbounded curved spacetime or in a flat spacetime in a physically bounded system. In both cases, the magnitude of the electric current is proportional to the beta-function associated with renormalization of the electric charge. In our article, we investigate the electric current density induced by the magnetic field in the vicinity of a Dirichlet boundary in the scalar QED. Using first-principle lattice simulations we show that the electric current, generated by this “conformal magnetic effect at the edge” (CMEE), is well described by the conformal anomaly provided the conformal symmetry is classically unbroken. Outside of the conformal limit, the current density is characterized by an anomalous power law near the edge of the system and by an exponential suppression of the current far away from the edge. Keywords: Conformal anomaly, Scalar quantum electrodynamics, Anomalous transport, Lattice gauge theory
url http://www.sciencedirect.com/science/article/pii/S0370269319300152
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