On the instability of the vacuum in multidimensional scalar theories

Details On the instability of the vacuum in multidimensional scalar theories On the instability of the vacuum in multidimensional scalar theories

1994-10-14

arxiv.org/abs/hep-th/9410101v1

Z.Phys. C70 (1996) 159-172

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, LaTex, UB-ECM-PF 94/17, 3 figures available on request

Scientific paper

The 1-loop effective potential in a scalar theory with quartic interaction on the space $M^{4} \times T^{n}$ for $n=2$ is calculated and is shown to be unbounded from below. This is an indication of a possible instability of the vacuum of the $\lambda \phi^{4}$ theory on $M^{4}$, when it is regarded as a result of the dimensional reduction of the original six-dimensional model. The issue of stability for other values of the number $n$ of extra dimensions is also discussed.

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