Converting a series in λto a series in λ^{-1}
| dc.creator | Rawlinson, Andrew A. | |
| dc.date | 2003-05-07 | |
| dc.date | 2003-09-18 | |
| dc.date.accessioned | 2026-07-07T10:49:39Z | |
| dc.date.available | 2026-07-07T10:49:39Z | |
| dc.description | We introduce a transformation for converting a series in a parameter, λ, to a series in the inverse of the parameter λ^{-1}. By applying the transform on simple examples, it becomes apparent that there exist relations between convergent and divergent series, and also between large- and small-coupling expansions. The method is also applied to the divergent series expansion of Euler-Heisenberg-Schwinger result for the one-loop effective action for constant background magnetic (or electric) field. The transform may help us gain some insight about the nature of both divergent (Borel or non-Borel summable series) and convergent series and their relationship, and how both could be used for analytical and numerical calculations. | |
| dc.description | 7 pages, Latex, 3 figures; Typos corrected. To appear in Journal of Physics A: Math and Gen | |
| dc.identifier | https://arxiv.org/abs/hep-th/0305047 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0305047 | |
| dc.identifier | J.Phys.A36:10215-10225,2003 | |
| dc.identifier | doi:10.1088/0305-4470/36/40/006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184289 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Converting a series in λto a series in λ^{-1} | |
| dc.type | text |