Journal article
Simple method to make asymptotic series of Feynman diagrams converge
Physical review letters, Vol.88(14), pp.141601-141601
04/08/2002
DOI: 10.1103/PhysRevLett.88.141601
PMID: 11955137
Abstract
We show that, for two nontrivial lambda phi(4) problems (the anharmonic oscillator and the Landau-Ginzburg hierarchical model), improved perturbative series can be obtained by cutting off the large field contributions. The modified series converge to values exponentially close to the exact ones. For lambda larger than some critical value, the method outperforms Padé's approximants and Borel summations. The method can also be used for series which are not Borel summable such as the double-well potential series. We show that semiclassical methods can be used to calculate the modified Feynman rules, estimate the error, and optimize the field cutoff.
Details
- Title: Subtitle
- Simple method to make asymptotic series of Feynman diagrams converge
- Creators
- Y Meurice - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Physical review letters, Vol.88(14), pp.141601-141601
- DOI
- 10.1103/PhysRevLett.88.141601
- PMID
- 11955137
- NLM abbreviation
- Phys Rev Lett
- ISSN
- 0031-9007
- eISSN
- 1079-7114
- Language
- English
- Date published
- 04/08/2002
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199791302771
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