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De-Rham currents and charged particle interactions in electromagnetic and gravitational fields

Research output: Contribution to journalJournal articlepeer-review

Published
<mark>Journal publication date</mark>04/1981
<mark>Journal</mark>Foundations of Physics
Issue number3-4
Volume11
Number of pages22
Pages (from-to)307-328
Publication StatusPublished
<mark>Original language</mark>English

Abstract

A coordinate-free formulation is established for (semi) classical particle-field interactions. The exterior language of spacetime chains and De-Rham currents enables the description to include extended strings and membranes besides point particles. Treating physical fields in terms of sections of particular bundles, a unified account of interactions is presented in terms of an intrinsic action principle on a bundle of jets over spacetime. The theory is illustrated by considering the specific model of point particles with intrinsic spin covariantly coupled to theU(1) andSL(2, C) connections describing the electromagnetic and gravitational fields, respectively. The notion of dual spin is examined in this context and coupled equations for this particle-field system are explicitly derived in a local chart. Attention is drawn to the global implications of the theory.