10 1 v 1 1 4 O ct 1 99 4 UB-ECM-PF 94 / 17 On the instability of the vacuum in multidimensional scalar theories


The 1-loop effective potential in a scalar theory with quartic interaction on the space M4 × 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 λφ4 model on M4, when it is regarded as a low energy sector of the theory obtained by dimensional reduction of the original six… (More)


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