Recursion and growth estimates in renormalizable quantum field theory
| dc.creator | Kreimer, Dirk | |
| dc.creator | Yeats, Karen | |
| dc.date | 2006-12-18 | |
| dc.date.accessioned | 2026-07-07T11:23:26Z | |
| dc.date.available | 2026-07-07T11:23:26Z | |
| dc.description | In this paper we show that there is a Lipatov bound for the radius of convergence for superficially divergent one-particle irreducible Green functions in a renormalizable quantum field theory if there is such a bound for the superficially convergent ones. The radius of convergence turns out to be ${\rm min}\{ρ,1/b_1\}$, where $ρ$ is the bound on the convergent ones, the instanton radius, and $b_1$ the first coefficient of the $β$-function. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0612179 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0612179 | |
| dc.identifier | Commun.Math.Phys.279:401-427,2008 | |
| dc.identifier | doi:10.1007/s00220-008-0431-7 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/194888 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Recursion and growth estimates in renormalizable quantum field theory | |
| dc.type | text |