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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...
Autores principales: | , |
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Lenguaje: | eng |
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2001
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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. |
id | cern-487429 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2001 |
record_format | invenio |
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 |