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Optimization and the convergence of perturbation series

This thesis is concerned with the possible sums of perturbation series in mass- less, renormalizable field theories. It shows that, given a free choice of scheme, the limit of the sequence of approximants is arbitrary. Restricting the choice to finite schemes, in particular "zero schemes", yields a perturbatively unique limit to the sequence of approximants. An operational method for calculating perturbative expansions in the class of zero schemes is discussed. A comparison of various optimization schemes is given for a few phenomenological examples in QCD and QED.

Identiferoai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:316044
Date January 1990
CreatorsNicholls, Jennifer Ann
PublisherDurham University
Source SetsEthos UK
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
Sourcehttp://etheses.dur.ac.uk/6148/

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