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Quantum diffusion of magnetic fields in a numerical worldline approach

We propose a numerical technique for calculating effective actions of electromagnetic backgrounds based on the worldline formalism. As a conceptually simple example, we consider scalar electrodynamics in three dimensions to one-loop order. Beyond the constant-magnetic-field case, serving as a benchm...

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Detalles Bibliográficos
Autores principales: Gies, Holger, Langfeld, Kurt
Lenguaje:eng
Publicado: 2001
Materias:
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(01)00377-7
http://cds.cern.ch/record/487429
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author Gies, Holger
Langfeld, Kurt
author_facet Gies, Holger
Langfeld, Kurt
author_sort Gies, Holger
collection CERN
description We propose a numerical technique for calculating effective actions of electromagnetic backgrounds based on the worldline formalism. As a conceptually simple example, we consider scalar electrodynamics in three dimensions to one-loop order. Beyond the constant-magnetic-field case, serving as a benchmark test, we analyze the effective action of a step-function-like magnetic field -- a configuration that is inaccessible to derivative expansions. We observe magnetic-field diffusion, i.e., nonvanishing magnetic action density at space points near the magnetic step where the classical field vanishes.
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publishDate 2001
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spelling cern-4874292023-03-14T20:18:56Zdoi:10.1016/S0550-3213(01)00377-7http://cds.cern.ch/record/487429engGies, HolgerLangfeld, KurtQuantum diffusion of magnetic fields in a numerical worldline approachParticle Physics - PhenomenologyWe propose a numerical technique for calculating effective actions of electromagnetic backgrounds based on the worldline formalism. As a conceptually simple example, we consider scalar electrodynamics in three dimensions to one-loop order. Beyond the constant-magnetic-field case, serving as a benchmark test, we analyze the effective action of a step-function-like magnetic field -- a configuration that is inaccessible to derivative expansions. We observe magnetic-field diffusion, i.e., nonvanishing magnetic action density at space points near the magnetic step where the classical field vanishes.We propose a numerical technique for calculating effective actions of electromagnetic backgrounds based on the worldline formalism. As a conceptually simple example, we consider scalar electrodynamics in three dimensions to one-loop order. Beyond the constant-magnetic-field case, serving as a benchmark test, we analyze the effective action of a step-function-like magnetic field -- a configuration that is inaccessible to derivative expansions. We observe magnetic-field diffusion, i.e., nonvanishing magnetic action density at space points near the magnetic step where the classical field vanishes.We propose a numerical technique for calculating effective actions of electromagnetic backgrounds based on the worldline formalism. As a conceptually simple example, we consider scalar electrodynamics in three dimensions to one-loop order. Beyond the constant-magnetic-field case, serving as a benchmark test, we analyze the effective action of a step-function-like magnetic field — a configuration that is inaccessible to derivative expansions. We observe magnetic-field diffusion, i.e., nonvanishing magnetic action density at space points near the magnetic step where the classical field vanishes.hep-ph/0102185UNITU-THEP-006-2001CERN-TH-2001-042UNITU-THEP-2001-6CERN-TH-2001-042oai:cds.cern.ch:4874292001-02-15
spellingShingle Particle Physics - Phenomenology
Gies, Holger
Langfeld, Kurt
Quantum diffusion of magnetic fields in a numerical worldline approach
title Quantum diffusion of magnetic fields in a numerical worldline approach
title_full Quantum diffusion of magnetic fields in a numerical worldline approach
title_fullStr Quantum diffusion of magnetic fields in a numerical worldline approach
title_full_unstemmed Quantum diffusion of magnetic fields in a numerical worldline approach
title_short Quantum diffusion of magnetic fields in a numerical worldline approach
title_sort quantum diffusion of magnetic fields in a numerical worldline approach
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/S0550-3213(01)00377-7
http://cds.cern.ch/record/487429
work_keys_str_mv AT giesholger quantumdiffusionofmagneticfieldsinanumericalworldlineapproach
AT langfeldkurt quantumdiffusionofmagneticfieldsinanumericalworldlineapproach