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At Which Order Should we Truncate Perturbative Series?
Conference proceeding   Open access

At Which Order Should we Truncate Perturbative Series?

Y Meurice
Proceedings of the Conference on Continuous Advances in QCD 2006 : William I. Fine Theoretical Physics Institute, Minneapolis, USA, 11-14 May 2006, pp.310-316
2007
DOI: 10.1142/9789812708267_0037
url
https://arxiv.org/pdf/hep-th/0608097View
Open Access

Abstract

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.
Quantum chromodynamics Series (mathematics)

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