$ϕ^4$ Field theory on a Lie group
| dc.creator | Altaisky, M. V. | |
| dc.date | 2000-07-22 | |
| dc.date | 2000-09-14 | |
| dc.date.accessioned | 2026-07-07T04:10:13Z | |
| dc.date.available | 2026-07-07T04:10:13Z | |
| dc.description | The $ϕ^4$ field model is generalized to the case when the field $ϕ(x)$ is defined on a Lie group: $S[ϕ]=\int_{x\in G} L[ϕ(x)] dμ(x)$, $dμ(x)$ is the left-invariant measure on a locally compact group $G$. For the particular case of the affine group $G:x'=ax+b,a\in\R_+, x,b \in \R^n$ t he Feynman perturbation expansion for the Green functions is shown to have no ultra-violet divergences for certain choice of $λ(a) \sim a^ν$. | |
| dc.description | 9 pages, AMS-LaTeX | |
| dc.identifier | https://arxiv.org/abs/hep-th/0007180 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0007180 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50141 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | $ϕ^4$ Field theory on a Lie group | |
| dc.type | text |