Resummation of the Two Distinct Large Logarithms in the Broken $O(N)$-symmetric $ϕ^4$-model
| dc.creator | Wiesendanger, C. | |
| dc.date | 1996-09-16 | |
| dc.date.accessioned | 2026-07-07T04:22:28Z | |
| dc.date.available | 2026-07-07T04:22:28Z | |
| dc.description | The loop-expansion of the effective potential in the $O(N)$-symmetric $ϕ^4$-model contains generically two types of large logarithms. To resum those systematically a new minimal two-scale subtraction scheme $\tMS$ is introduced in an $O(N)$-invariant generalization of $\MS$. As the $\tMS$ beta functions depend on the renormalization scale-ratio a large logarithms resummation is performed on them. Two partial $\tMS$ renormalization group equations are derived to turn the beta functions into $\tMS$ running parameters. With the use of standard perturbative boundary conditions, which become applicable in $\tMS$, the leading logarithmic $\tMS$ effective potential is computed. The calculation indicates that there is no stable vacuum in the broken phase of the theory for $1<N\leq 4$. | |
| dc.description | 11 pages, LaTeX. Talk given at The Third International Conference Renormalization Group - 96, Dubna, Russia, 26 - 31 August 1996 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9609129 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9609129 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54734 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Resummation of the Two Distinct Large Logarithms in the Broken $O(N)$-symmetric $ϕ^4$-model | |
| dc.type | text |