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arXiv · hep-ph/0102185

Quantum diffusion of magnetic fields in a numerical worldline approach

Holger Gies·Kurt Langfeld
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Abstract

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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Holger Gies, Kurt Langfeld. 2001-08-02. Quantum diffusion of magnetic fields in a numerical worldline approach. https://doi.org/10.1016/s0550-3213(01)00377-7

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