Journal article
Large field cutoffs make perturbative series converge
Nuclear physics. Section B, Proceedings supplement, Vol.106, pp.908-910
2002
DOI: 10.1016/S0920-5632(01)01882-5
Abstract
For λφ
4 problems, convergent perturbative series can be obtained by cutting off the large field configurations. The modified series converge to values exponentially close to the exact ones. For λ larger than some critical value, the method outperforms Padé approximants and Borel summations. We discuss some aspects of the semi-classical methods used to calculate the modified Feynman rules and estimate the error associated with the procedure. We provide a simple numerical example where the procedure works despite the fact that the Borel sum has singularities on the positive real axis.
Details
- Title: Subtitle
- Large field cutoffs make perturbative series converge
- Creators
- Yannick Meurice - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Nuclear physics. Section B, Proceedings supplement, Vol.106, pp.908-910
- DOI
- 10.1016/S0920-5632(01)01882-5
- ISSN
- 0920-5632
- eISSN
- 1873-3832
- Publisher
- Elsevier B.V
- Language
- English
- Date published
- 2002
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199825502771
Metrics
4 Record Views