Quantum diffusion of magnetic fields in a numerical worldline approach

Details Quantum diffusion of magnetic fields in a numerical worldline approach Quantum diffusion of magnetic fields in a numerical worldline approach

2001-02-15

arxiv.org/abs/hep-ph/0102185v2

Nucl.Phys. B613 (2001) 353-365

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 3 figures, v2: numerical analysis in Sect.3 improved, references added, typos corrected, version to appear in NPB

Scientific paper

10.1016/S0550-3213(01)00377-7

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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