Reduction formulas for charged particles and coherent states in quantum electrodynamics

Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    A weak asymptotic limit is proposed for a charged field as an operator on the space of asymptotic states. This leads to a modified Lehmann-Symanzik-Zimmermann reduction formula and a determination of the singularity near the mass shell of the Green's function of a charged particle in the presence of other charged particles. Coherent states of the electromagnetic field are also reduced out. The resultant expression for S-matrix elements in terms of vacuum expectation values of time-ordered fields yields a slight elaboration of the Feynman rules which allows a perturbative calculation that is free of infrared and Coulombic divergences order by order. As an application, the amplitude for scattering of a Dirac particle by an external Coulomb potential is calculated to second order in the external potential, with a finite result.

    Original languageEnglish (US)
    Pages (from-to)1082-1099
    Number of pages18
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume7
    Issue number4
    DOIs
    StatePublished - 1973

    Fingerprint

    quantum electrodynamics
    charged particles
    Coulomb potential
    divergence
    electromagnetic fields
    Green's functions
    operators
    vacuum
    matrices
    scattering

    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

    Cite this

    Reduction formulas for charged particles and coherent states in quantum electrodynamics. / Zwanziger, Daniel.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 7, No. 4, 1973, p. 1082-1099.

    Research output: Contribution to journalArticle

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