Scattering theory for quantum electrodynamics. II. Reduction and cross-section formulas

Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    The quantum-electrodynamical S matrix is obtained as the set of on-mass-shell values of the renormalized momentum-space Green's functions multiplied by Ci(mi2-pi2)1+i for each particle i, where i is proportional to the fine-structure constant and Ci is a constant. A photon mass is not needed to eliminate virtual infrared divergences. Instead the parameters i=mi2-pi2 regularize Feynman integrals in the infrared region, and the dependence on the i is canceled against the expansion of (mi2-pi2)i multiplying lower-order Green's functions. Exact cross-section formulas are developed which express transition rates in terms of this S matrix. They account for radiation damping nonperturbatively, whereas the S matrix must be calculated perturbatively as a power series in. It is seen that in processes with very small energy loss to unobserved photons individual elements of the quantum-electrodynamical S matrix are directly observable. Rules for practical calculations are summarized.

    Original languageEnglish (US)
    Pages (from-to)3504-3530
    Number of pages27
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume11
    Issue number12
    DOIs
    StatePublished - 1975

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    quantum electrodynamics
    cross sections
    matrices
    scattering
    Green's functions
    power series
    photons
    divergence
    energy dissipation
    damping
    fine structure
    momentum
    expansion
    radiation

    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

    Cite this

    Scattering theory for quantum electrodynamics. II. Reduction and cross-section formulas. / Zwanziger, Daniel.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 11, No. 12, 1975, p. 3504-3530.

    Research output: Contribution to journalArticle

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