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.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - 1 Jan 1998|