Large order asymptotics and convergent perturbation theory for critical indices of the $ϕ^4$ model in ${4-ε}$ expansion
| dc.creator | Honkonen, J. | |
| dc.creator | Komarova, M. | |
| dc.creator | Nalimov, M. | |
| dc.date | 2002-07-01 | |
| dc.date.accessioned | 2026-07-07T04:13:47Z | |
| dc.date.available | 2026-07-07T04:13:47Z | |
| dc.description | Large order asymptotic behaviour of renormalization constants in the minimal subtraction scheme for the $ϕ^4$ $(4-ε)$ theory is discussed. Well-known results of the asymptotic $4-ε$ expansion of critical indices are shown to be far from the large order asymptotic value. A {\em convergent} series for the model $ϕ^4$ $(4-ε)$ is then considered. Radius of convergence of the series for Green functions and for renormalisation group functions is studied. The results of the convergent expansion of critical indices in the $4-ε$ scheme are revalued using the knowledge of large order asymptotics. Specific features of this procedure are discussed. | |
| dc.description | 8 pages, 2 figures. Invited talk at the 5th International Conference Renormalization Group 2002 (High Tatra Mountains, Slovakia, 10-16 March 2002) | |
| dc.identifier | https://arxiv.org/abs/hep-th/0207011 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0207011 | |
| dc.identifier | Acta Phys.Slov. 52 (2002) 303-310 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51385 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Large order asymptotics and convergent perturbation theory for critical indices of the $ϕ^4$ model in ${4-ε}$ expansion | |
| dc.type | text |