Effect of Self-Interaction on Vacuum Energy for Yang-Mills System in Kaluza-Klein Theory
Abstract
We calculate the vacuum energy for Yang--Mills (YM) system in the background space-time M4 × S3, taking the effect of self-interaction of the YM fields into account. The compactification scale obtained by Candelas--Weinberg mechanism becomes large if the YM coupling is large. The case with an extra space S3/Z2 is also considered, and it is shown that the vacuum associated with broken gauge symmetry is unstable.
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