Vacuum stability and symmetry breaking in non-Minkowskian space-times

Physics

Scientific paper

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Scientific paper

The problem of vacuum stability for interacting scalar fields is studied at the one-loop level in situations where the effective potential may not be used. The method described here involves a calculation of the one-loop effective action using the background-field method. Specific examples discussed are interacting twisted and untwisted scalar fields in S1×R3, and self-interacting scalar fields in the static Einstein universe and in flat space-time with topology R1×S1×S1×S1. It is shown that in some cases radiative corrections can lead to a phase transition where the classical vacuum state becomes unstable.

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