Universal Crossover in Perturbation Theory with a Large Field Cutoff

L Li; Y Meurice

doi:10.48550/arxiv.hep-th/0503047

Back

Universal Crossover in Perturbation Theory with a Large Field Cutoff

Preprint

Open access

Universal Crossover in Perturbation Theory with a Large Field Cutoff

L Li and Y Meurice

ArXiv.org

Cornell University

03/04/2005

DOI: 10.48550/arxiv.hep-th/0503047

Files and links (1)

url

https://doi.org/10.48550/arXiv.hep-th/0503047View

Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

For lambda phi^4 models, the introduction of a large field cutoff improves significantly the accuracy that can be reached with perturbative series but the calculation of the modified coefficients remains a challenging problem. We show that this problem can be solved numerically, and in the limits of large and small field cutoffs, for the ground state energy of the anharmonic oscillator. For the two lowest orders, the approximate formulas obtained in the large field cutoff limit extend unexpectedly far in the low field cutoff region. For the higher orders, the transition between the small field cutoff regime and the large field cutoff regime can be described in terms of a universal function.

Statistical Mechanics

Mathematical Physics

High Energy Physics - Theory

Details

Title: Subtitle: Universal Crossover in Perturbation Theory with a Large Field Cutoff
Creators: L Li
Y Meurice
Resource Type: Preprint
Publication Details: ArXiv.org
Publisher: Cornell University
DOI: 10.48550/arxiv.hep-th/0503047
ISSN: 2331-8422
Number of pages: 6
Comment: 6 pages, 4 figures, uses iopart
Language: English
Date posted: 03/04/2005
Academic Unit: Physics and Astronomy
Record Identifier: 9984442200702771

Metrics

2 Record Views