Quantum diffusion of magnetic fields in a numerical worldline approach
High Energy Physics - Phenomenology
2009-11-07 v2 High Energy Physics - Lattice
High Energy Physics - Theory
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.
Cite
@article{arxiv.hep-ph/0102185,
title = {Quantum diffusion of magnetic fields in a numerical worldline approach},
author = {Holger Gies and Kurt Langfeld},
journal= {arXiv preprint arXiv:hep-ph/0102185},
year = {2009}
}
Comments
15 pages, 3 figures, v2: numerical analysis in Sect.3 improved, references added, typos corrected, version to appear in NPB