At Which Order Should we Truncate Perturbative Series?

Details At Which Order Should we Truncate Perturbative Series? At Which Order Should we Truncate Perturbative Series?

2006-08-15

arxiv.org/abs/hep-th/0608097v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 2 figs., talk given at Continuous Advances in QCD 2006

Scientific paper

Perturbative coefficients grow factorially with the order and one needs a prescription to truncate the series in order to obtain a finite result. A common prescription consists in dropping the smallest contribution at a given coupling and all the higher orders terms. We discuss the error associated with this procedure. We advocate a more systematic approach which consists in controlling the large field configurations in the functional integral. We summarize our best understanding of these issues for lattice QCD in the quenched approximation and their connection with convergence problems found in the continuum.

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