Local-Lagrangian quantum field theory of electric and magnetic charges

Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    We present a local Lagrangian density, depending on a pair of four-potentials A and B, and charged fields n with electric and magnetic charges en and gn. The resulting local Lagrangian field equations are equivalent to Maxwell's and Dirac's equations. The Lagrangian depends on a fixed four-vector, so manifest isotropy is lost and is regained only for quantized values of (engm-gnem). This condition results from the requirement that the representation of the Poincaré Lie algebra which results from Poincaré invariance, integrate to a representation of the finite Poincaré group. The finite Lorentz transformation laws of A, B, and n are presented here for the first time. The familiar apparatus of Lagrangian field theory is applied to yield directly the canonical commutation relations, the energy-momentum tensor, and Feynman's rules.

    Original languageEnglish (US)
    Pages (from-to)880-891
    Number of pages12
    JournalPhysical Review D
    Volume3
    Issue number4
    DOIs
    StatePublished - Jan 1 1971

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    ASJC Scopus subject areas

    • Nuclear and High Energy Physics
    • Physics and Astronomy (miscellaneous)

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