Superfast convergence effect in large orders of the perturbative and $ε$ expansions for the O(N) symmetric $ϕ^4$ model
| dc.creator | Pobylitsa, P. V. | |
| dc.date | 2008-07-31 | |
| dc.date | 2008-08-27 | |
| dc.date.accessioned | 2026-07-07T09:58:24Z | |
| dc.date.available | 2026-07-07T09:58:24Z | |
| dc.description | Usually the asymptotic behavior for large orders of the perturbation theory is reached rather slowly. However, in the case of the N-component $ϕ^4$ model in D=4 dimensions one can find a special quantity that exhibits an extremely fast convergence to the asymptotic form. A comparison of the available 5-loop result for this quantity with the asymptotic value shows agreement at the 0.1% level. An analogous superfast convergence to the asymptotic form happens in the case of the O(N)-symmetric anharmonic oscillator where this convergence has inverse factorial type. The large orders of the $ε$ expansion for critical exponents manifest a similar effect. | |
| dc.description | 4 pages, typos corrected | |
| dc.identifier | https://arxiv.org/abs/0807.5136 | |
| dc.identifier | http://arxiv.org/abs/0807.5136 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167700 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Other Condensed Matter | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Superfast convergence effect in large orders of the perturbative and $ε$ expansions for the O(N) symmetric $ϕ^4$ model | |
| dc.type | text |