Journal article
Asymptotically universal crossover in perturbation theory with a field cutoff
Journal of physics. A, Mathematical and general, Vol.39(27), pp.8681-8697
2006
DOI: 10.1088/0305-4470/39/27/009
Abstract
We discuss the crossover between the small and large field cutoff (denoted as xmax) limits of the perturbative coefficients for a simple integral and anharmonic oscillators. We show that in the limit where the order k of the perturbative coefficient ak(xmax) becomes large and for xmax in the crossover region, . The order-independent constant A and the function x0(k) are determined empirically and compared with exact (for the integral) and approximate (for the anharmonic oscillator) calculations. Numerically, our best estimates are A ≃ 1.5, 1.3 and 1.2 for a λx4, λx6 and λx8 perturbation respectively.
Details
- Title: Subtitle
- Asymptotically universal crossover in perturbation theory with a field cutoff
- Creators
- L LI - University of IowaY Meurice - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of physics. A, Mathematical and general, Vol.39(27), pp.8681-8697
- DOI
- 10.1088/0305-4470/39/27/009
- ISSN
- 0305-4470
- eISSN
- 1361-6447
- Publisher
- Institute of Physics
- Language
- English
- Date published
- 2006
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199739002771
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