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Durham e-Theses
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Optimization and the convergence of perturbation series

Nicholls, Jennifer Ann (1990) Optimization and the convergence of perturbation series. Doctoral thesis, Durham University.



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.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Thesis Date:1990
Copyright:Copyright of this thesis is held by the author
Deposited On:18 Dec 2012 12:06

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