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

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De-Rham currents and charged particle interactions in electromagnetic and gravitational fields. / Dodson, C. T. J.; Tucker, Robin.

In: Foundations of Physics, Vol. 11, No. 3-4, 04.1981, p. 307-328.

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Dodson, C. T. J. ; Tucker, Robin. / De-Rham currents and charged particle interactions in electromagnetic and gravitational fields. In: Foundations of Physics. 1981 ; Vol. 11, No. 3-4. pp. 307-328.

Bibtex

@article{47932dd5743f483ebce73937f695db8c,
title = "De-Rham currents and charged particle interactions in electromagnetic and gravitational fields",
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.",
author = "Dodson, {C. T. J.} and Robin Tucker",
year = "1981",
month = apr,
doi = "10.1007/BF00726271",
language = "English",
volume = "11",
pages = "307--328",
journal = "Foundations of Physics",
issn = "0015-9018",
publisher = "Springer Netherlands",
number = "3-4",

}

RIS

TY - JOUR

T1 - De-Rham currents and charged particle interactions in electromagnetic and gravitational fields

AU - Dodson, C. T. J.

AU - Tucker, Robin

PY - 1981/4

Y1 - 1981/4

N2 - 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.

AB - 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.

U2 - 10.1007/BF00726271

DO - 10.1007/BF00726271

M3 - Journal article

VL - 11

SP - 307

EP - 328

JO - Foundations of Physics

JF - Foundations of Physics

SN - 0015-9018

IS - 3-4

ER -