On the instability of the vacuum in multidimensional scalar theories

Autor: Yu. A. Kubyshin, Klaus Kirsten, Emilio Elizalde
Rok vydání: 1996
Předmět:
Zdroj: Zeitschrift für Physik C: Particles and Fields. 70:159-172
ISSN: 1431-5858
0170-9739
DOI: 10.1007/s002880050093
Popis: The one-loop effective potential in a scalar theory with quartic interaction on the spaceM 4×T n forn=2 is calculated and is shown to be unbounded from below. This is an indication of a possible instability of the vacuum of theλψ 4 model onM 4, when it is regarded as a low-energy sector of the theory obtained by dimensional reduction of the original six-dimensional one. It is argued that, in some range of the values of the parameters of the theory, higher-loop corrections do not change this result qualitatively. The issue of stability for other values of the numbern of extra dimensions is also discussed.
Databáze: OpenAIRE