Continuity of the four-point function of massive $ϕ_4^4$-theory above threshold
| dc.creator | Kopper, Christoph | |
| dc.date | 2007-01-30 | |
| dc.date | 2007-05-30 | |
| dc.date.accessioned | 2026-07-07T10:38:17Z | |
| dc.date.available | 2026-07-07T10:38:17Z | |
| dc.description | In this paper we prove that the four-point function of massive $\vp_4^4$-theory is continuous as a function of its independent external momenta when posing the renormalization condition for the (physical) mass on-shell. The proof is based on integral representations derived inductively from the perturbative flow equations of the renormalization group. It closes a longstanding loophole in rigorous renormalization theory in so far as it shows the feasibility of a physical definition of the renormalized coupling. | |
| dc.description | 23 pages; to appear in Rev. Math. Physics few corrections, two explanatory paragraphs added | |
| dc.identifier | https://arxiv.org/abs/math-ph/0701071 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0701071 | |
| dc.identifier | Rev.Math.Phys.19:725-748,2007 | |
| dc.identifier | doi:10.1142/S0129055X07003103 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/180669 | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Continuity of the four-point function of massive $ϕ_4^4$-theory above threshold | |
| dc.type | text |