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    TH Meeting on Particle Physics Phenomenology

    The role of analytic continuation in perturbative QCD

    by Jan FISCHER (Academy of Sciences, Prague)

    → Europe/Zurich
    TH Auditorium (CERN)

    TH Auditorium

    CERN
    Description
    Starting from the divergence pattern of the perturbative expansions in QCD, we propose a novel expansion in terms of a set of functions {Wn(a) } whose Borel transforms have the same analyticity domain as the Borel transform of the expanded (e.g., the Adler) function. At small values of the coupling parameter a, the n-th order function W n (a) turns out to behave like an, thereby retaining a fundamental feature of a perturbative expansion. For higher values of a, however, the functions Wn (a) show up different properties: they are bounded, sign-changing and vanishing with a tending to infinity. Being chosen so as to make full use of the non-perturbative information deposited in analyticity, they have also remarkable convergence properties.