Quantum Field Theory as a Problem of Resummation (Short guide to using summability methods)

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dc.creatorMoroz, Alexander
dc.date1992-06-19
dc.date.accessioned2026-07-07T09:13:57Z
dc.date.available2026-07-07T09:13:57Z
dc.descriptionThesis includes review on the large order behaviour of perturbation theory in quantum mechanical and field theory models; generalization of the Borel summability and strong asymptotic conditions to various (including horn-shaped) regions; discussion of analytic aspects of perturbation theory; examples which demonstrate differences between the Borel summability and generalized one; application to the Rayleigh-Schrödinger perturbation theory and to the definition of the operator valued functions. The new summability methods converges in the whole Mittag-Leffeler star of an analytical function and as such is useful for localization of singularities in the complex plane. Their position can be calculated even analytically provided large order behaviour of the Taylor series is known. Method can be implemented numerically as well.
dc.descriptionPlain latex, 82 pp, 8 figures (ask author)) PhD Thesis, Prague, July 1991
dc.identifierhttps://arxiv.org/abs/hep-th/9206074
dc.identifierhttp://arxiv.org/abs/hep-th/9206074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152505
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.subjectFunctional Analysis
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleQuantum Field Theory as a Problem of Resummation (Short guide to using summability methods)
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