LOOPS AND LOOP CLOUDS — A NUMERICAL APPROACH TO THE WORLDLINE FORMALISM IN QED

Author:

GIES HOLGER1,LANGFELD KURT2

Affiliation:

1. CERN, Theory Division CH-1211 Geneva 23, Switzerland

2. Institut für theoretische Physik, Universität Tübingen, D-72076 Tübingen, Germany

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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