Improved Conformal Mapping of the Borel Plane

Details Improved Conformal Mapping of the Borel Plane Improved Conformal Mapping of the Borel Plane

2000-06-09

arxiv.org/abs/hep-ph/0006089v2

J.Phys.A34:1451-1457,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, LaTeX, 2 tables; certain numerical examples added

Scientific paper

10.1088/0305-4470/34/7/316

The conformal mapping of the Borel plane can be utilized for the analytic continuation of the Borel transform to the entire positive real semi-axis and is thus helpful in the resummation of divergent perturbation series in quantum field theory. We observe that the rate of convergence can be improved by the application of Pad\'{e} approximants to the Borel transform expressed as a function of the conformal variable, i.e. by a combination of the analytic continuation via conformal mapping and a subsequent numerical approximation by rational approximants. The method is primarily useful in those cases where the leading (but not sub-leading) large-order asymptotics of the perturbative coefficients are known.

Affiliated with

Also associated with

No associations

Rating

Improved Conformal Mapping of the Borel Plane does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Improved Conformal Mapping of the Borel Plane, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Improved Conformal Mapping of the Borel Plane will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-499013