THE NUMBER OF SPHALERON INSTABILITIES OF THE BARTNIK-McKINNON SOLITONS AND NON-ABELIAN BLACK HOLES

Physics – High Energy Physics – High Energy Physics - Theory

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Scientific paper

10.1016/0370-2693(95)00293-T

It is proven that there are precisely $n$ odd-parity sphaleron-like unstable
modes of the $n$-th Bartnik-McKinnon soliton and the $n$-th non-abelian black
hole solution of the Einstein-Yang-Mills theory for the gauge group $SU(2)$.

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