- 09-39 Christoph Kopper
- On the local Borel transform of Perturbation Theory
Feb 24, 09
(auto. generated ps),
of related papers
Abstract. We prove existence of the local Borel transform
for the perturbative series of massive $\vp_4^4$-theory.
As compared to previous proofs in the literature, the present
bounds are much sharper as regards the dependence on
external momenta, they are explicit in the number of external
legs, and they are obtained quite simply through a judiciously
chosen induction hypothesis applied to the Wegner-Wilson-Polchinski
flow equations. We pay attention not to generate an astronomically
large numerical constant for the inverse radius of convergence
of the Borel transform.