Improvement of the method of diagonal Padé approximants for perturbative series in gauge theories

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Abstract

Recently it has been pointed out that diagonal Padé approximants to truncated perturbative series in gauge theories have the remarkable property of being independent of the choice of the renormalization scale as long as the gauge coupling parameter (Formula presented) is taken to evolve according to the one-loop renormalization group equation—i.e., in the large-(Formula presented) approximation. In this paper we propose and describe an improvement to the method of diagonal Padé approximants. The improved method results in approximants which are independent of the chosen renormalization scale when (Formula presented) evolves at any chosen (in principle arbitrary) loop-level. © 1998 The American Physical Society.
Original languageEnglish
Pages (from-to)R3209-R3213
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
DOIs
Publication statusPublished - 1 Jan 1998
Externally publishedYes

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