Loops and loop clouds - a numerical approach to the worldline formalism in QED -

Holger Gies (CERN); Kurt Langfeld (Tubingen U.)

Loops and loop clouds - a numerical approach to the worldline formalism in QED -

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arxiv hep-ph/0112198 v1 pith:SQ45JRDK submitted 2001-12-14 hep-ph

Holger Gies (CERN) , Kurt Langfeld (Tubingen U.) This is my paper · ORCID

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keywords formalismloopsnumericalworldlineactionsanalyzeapproachbackgrounds

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A numerical technique for calculating effective actions of electromagnetic backgrounds is proposed, which is based on the string-inspired worldline formalism. As examples, we consider scalar electrodynamics in three and four dimensions to one-loop order. Beyond the constant-magnetic-field case, we analyze a step-function-like magnetic field exhibiting a nonlocal and nonperturbative phenomenon: ``magnetic-field diffusion''. Finally, generalizations to fermionic loops and systems at finite temperature are discussed.

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Propagator from Nonperturbative Worldline Dynamics
hep-th 2019-08 reject novelty 6.0 of 10

Worldline Monte Carlo with a fitted potential PDF gives an all-orders quenched propagator for S2QED, with a pole mass that drops toward zero near a critical coupling around 0.72.

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